Properties

Label 546.2.u.a.185.14
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.14
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.896713 - 1.48186i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.277881 - 0.481304i) q^{5} +(-1.51751 + 0.834971i) q^{6} +(-0.887101 + 2.49260i) q^{7} -1.00000i q^{8} +(-1.39181 - 2.65760i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.896713 - 1.48186i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.277881 - 0.481304i) q^{5} +(-1.51751 + 0.834971i) q^{6} +(-0.887101 + 2.49260i) q^{7} -1.00000i q^{8} +(-1.39181 - 2.65760i) q^{9} +0.555761i q^{10} -3.61740i q^{11} +(1.73168 + 0.0356471i) q^{12} +(-3.35317 + 1.32525i) q^{13} +(2.01455 - 1.71510i) q^{14} +(-0.962403 - 0.0198113i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.94735 - 3.37291i) q^{17} +(-0.123459 + 2.99746i) q^{18} -5.48202i q^{19} +(0.277881 - 0.481304i) q^{20} +(2.89821 + 3.54970i) q^{21} +(-1.80870 + 3.13276i) q^{22} +(-6.60113 - 3.81117i) q^{23} +(-1.48186 - 0.896713i) q^{24} +(2.34556 - 4.06264i) q^{25} +(3.56655 + 0.528884i) q^{26} +(-5.18625 - 0.320643i) q^{27} +(-2.60220 + 0.478048i) q^{28} +(5.62758 - 3.24909i) q^{29} +(0.823560 + 0.498359i) q^{30} +(3.71833 + 2.14678i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-5.36048 - 3.24377i) q^{33} +3.89470i q^{34} +(1.44621 - 0.265681i) q^{35} +(1.60565 - 2.53415i) q^{36} +(-3.88657 + 6.73173i) q^{37} +(-2.74101 + 4.74757i) q^{38} +(-1.04300 + 6.15728i) q^{39} +(-0.481304 + 0.277881i) q^{40} +(-1.45390 - 2.51823i) q^{41} +(-0.735067 - 4.52324i) q^{42} +(0.175343 - 0.303703i) q^{43} +(3.13276 - 1.80870i) q^{44} +(-0.892357 + 1.40838i) q^{45} +(3.81117 + 6.60113i) q^{46} +(6.28286 + 10.8822i) q^{47} +(0.834971 + 1.51751i) q^{48} +(-5.42611 - 4.42237i) q^{49} +(-4.06264 + 2.34556i) q^{50} +(-6.74439 - 0.138835i) q^{51} +(-2.82428 - 2.24130i) q^{52} +(1.56709 + 0.904762i) q^{53} +(4.33110 + 2.87081i) q^{54} +(-1.74107 + 1.00521i) q^{55} +(2.49260 + 0.887101i) q^{56} +(-8.12358 - 4.91580i) q^{57} -6.49817 q^{58} +(-0.697122 - 1.20745i) q^{59} +(-0.464044 - 0.843371i) q^{60} -0.579410i q^{61} +(-2.14678 - 3.71833i) q^{62} +(7.85902 - 1.11166i) q^{63} -1.00000 q^{64} +(1.56963 + 1.24563i) q^{65} +(3.02042 + 5.48943i) q^{66} +7.89218 q^{67} +(1.94735 - 3.37291i) q^{68} +(-11.5669 + 6.36442i) q^{69} +(-1.38529 - 0.493016i) q^{70} +(-9.91300 - 5.72327i) q^{71} +(-2.65760 + 1.39181i) q^{72} +(8.01069 + 4.62497i) q^{73} +(6.73173 - 3.88657i) q^{74} +(-3.91696 - 7.11882i) q^{75} +(4.74757 - 2.74101i) q^{76} +(9.01673 + 3.20900i) q^{77} +(3.98190 - 4.81087i) q^{78} +(-6.41273 - 11.1072i) q^{79} +0.555761 q^{80} +(-5.12573 + 7.39776i) q^{81} +2.90780i q^{82} -0.175313 q^{83} +(-1.62503 + 4.28477i) q^{84} +(-1.08226 + 1.87453i) q^{85} +(-0.303703 + 0.175343i) q^{86} +(0.231641 - 11.2528i) q^{87} -3.61740 q^{88} +(-3.93114 + 6.80894i) q^{89} +(1.47699 - 0.773515i) q^{90} +(-0.328719 - 9.53373i) q^{91} -7.62233i q^{92} +(6.51550 - 3.58499i) q^{93} -12.5657i q^{94} +(-2.63852 + 1.52335i) q^{95} +(0.0356471 - 1.73168i) q^{96} +(2.76030 + 1.59366i) q^{97} +(2.48796 + 6.54294i) q^{98} +(-9.61363 + 5.03474i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.896713 1.48186i 0.517718 0.855552i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.277881 0.481304i −0.124272 0.215245i 0.797176 0.603747i \(-0.206326\pi\)
−0.921448 + 0.388501i \(0.872993\pi\)
\(6\) −1.51751 + 0.834971i −0.619519 + 0.340875i
\(7\) −0.887101 + 2.49260i −0.335293 + 0.942114i
\(8\) 1.00000i 0.353553i
\(9\) −1.39181 2.65760i −0.463937 0.885868i
\(10\) 0.555761i 0.175747i
\(11\) 3.61740i 1.09069i −0.838212 0.545344i \(-0.816399\pi\)
0.838212 0.545344i \(-0.183601\pi\)
\(12\) 1.73168 + 0.0356471i 0.499894 + 0.0102904i
\(13\) −3.35317 + 1.32525i −0.930001 + 0.367558i
\(14\) 2.01455 1.71510i 0.538412 0.458381i
\(15\) −0.962403 0.0198113i −0.248491 0.00511526i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −1.94735 3.37291i −0.472302 0.818050i 0.527196 0.849744i \(-0.323243\pi\)
−0.999498 + 0.0316934i \(0.989910\pi\)
\(18\) −0.123459 + 2.99746i −0.0290996 + 0.706508i
\(19\) 5.48202i 1.25766i −0.777542 0.628831i \(-0.783534\pi\)
0.777542 0.628831i \(-0.216466\pi\)
\(20\) 0.277881 0.481304i 0.0621360 0.107623i
\(21\) 2.89821 + 3.54970i 0.632440 + 0.774609i
\(22\) −1.80870 + 3.13276i −0.385616 + 0.667907i
\(23\) −6.60113 3.81117i −1.37643 0.794683i −0.384703 0.923040i \(-0.625696\pi\)
−0.991728 + 0.128357i \(0.959030\pi\)
\(24\) −1.48186 0.896713i −0.302483 0.183041i
\(25\) 2.34556 4.06264i 0.469113 0.812527i
\(26\) 3.56655 + 0.528884i 0.699458 + 0.103723i
\(27\) −5.18625 0.320643i −0.998094 0.0617078i
\(28\) −2.60220 + 0.478048i −0.491770 + 0.0903426i
\(29\) 5.62758 3.24909i 1.04502 0.603340i 0.123766 0.992311i \(-0.460503\pi\)
0.921250 + 0.388971i \(0.127169\pi\)
\(30\) 0.823560 + 0.498359i 0.150361 + 0.0909874i
\(31\) 3.71833 + 2.14678i 0.667832 + 0.385573i 0.795255 0.606276i \(-0.207337\pi\)
−0.127423 + 0.991848i \(0.540671\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −5.36048 3.24377i −0.933140 0.564668i
\(34\) 3.89470i 0.667935i
\(35\) 1.44621 0.265681i 0.244453 0.0449082i
\(36\) 1.60565 2.53415i 0.267608 0.422358i
\(37\) −3.88657 + 6.73173i −0.638948 + 1.10669i 0.346716 + 0.937970i \(0.387297\pi\)
−0.985664 + 0.168720i \(0.946037\pi\)
\(38\) −2.74101 + 4.74757i −0.444651 + 0.770157i
\(39\) −1.04300 + 6.15728i −0.167013 + 0.985955i
\(40\) −0.481304 + 0.277881i −0.0761008 + 0.0439368i
\(41\) −1.45390 2.51823i −0.227061 0.393281i 0.729875 0.683581i \(-0.239578\pi\)
−0.956936 + 0.290300i \(0.906245\pi\)
\(42\) −0.735067 4.52324i −0.113423 0.697951i
\(43\) 0.175343 0.303703i 0.0267396 0.0463143i −0.852346 0.522978i \(-0.824821\pi\)
0.879086 + 0.476664i \(0.158154\pi\)
\(44\) 3.13276 1.80870i 0.472282 0.272672i
\(45\) −0.892357 + 1.40838i −0.133025 + 0.209949i
\(46\) 3.81117 + 6.60113i 0.561926 + 0.973284i
\(47\) 6.28286 + 10.8822i 0.916449 + 1.58734i 0.804766 + 0.593592i \(0.202291\pi\)
0.111682 + 0.993744i \(0.464376\pi\)
\(48\) 0.834971 + 1.51751i 0.120518 + 0.219033i
\(49\) −5.42611 4.42237i −0.775158 0.631768i
\(50\) −4.06264 + 2.34556i −0.574544 + 0.331713i
\(51\) −6.74439 0.138835i −0.944403 0.0194408i
\(52\) −2.82428 2.24130i −0.391657 0.310813i
\(53\) 1.56709 + 0.904762i 0.215257 + 0.124279i 0.603752 0.797172i \(-0.293672\pi\)
−0.388495 + 0.921451i \(0.627005\pi\)
\(54\) 4.33110 + 2.87081i 0.589388 + 0.390668i
\(55\) −1.74107 + 1.00521i −0.234766 + 0.135542i
\(56\) 2.49260 + 0.887101i 0.333088 + 0.118544i
\(57\) −8.12358 4.91580i −1.07599 0.651114i
\(58\) −6.49817 −0.853252
\(59\) −0.697122 1.20745i −0.0907576 0.157197i 0.817073 0.576535i \(-0.195596\pi\)
−0.907830 + 0.419338i \(0.862262\pi\)
\(60\) −0.464044 0.843371i −0.0599079 0.108879i
\(61\) 0.579410i 0.0741859i −0.999312 0.0370929i \(-0.988190\pi\)
0.999312 0.0370929i \(-0.0118098\pi\)
\(62\) −2.14678 3.71833i −0.272641 0.472228i
\(63\) 7.85902 1.11166i 0.990144 0.140056i
\(64\) −1.00000 −0.125000
\(65\) 1.56963 + 1.24563i 0.194688 + 0.154501i
\(66\) 3.02042 + 5.48943i 0.371789 + 0.675702i
\(67\) 7.89218 0.964183 0.482092 0.876121i \(-0.339877\pi\)
0.482092 + 0.876121i \(0.339877\pi\)
\(68\) 1.94735 3.37291i 0.236151 0.409025i
\(69\) −11.5669 + 6.36442i −1.39250 + 0.766187i
\(70\) −1.38529 0.493016i −0.165574 0.0589267i
\(71\) −9.91300 5.72327i −1.17646 0.679228i −0.221265 0.975214i \(-0.571018\pi\)
−0.955192 + 0.295986i \(0.904352\pi\)
\(72\) −2.65760 + 1.39181i −0.313202 + 0.164026i
\(73\) 8.01069 + 4.62497i 0.937580 + 0.541312i 0.889201 0.457517i \(-0.151261\pi\)
0.0483794 + 0.998829i \(0.484594\pi\)
\(74\) 6.73173 3.88657i 0.782548 0.451804i
\(75\) −3.91696 7.11882i −0.452291 0.822010i
\(76\) 4.74757 2.74101i 0.544583 0.314415i
\(77\) 9.01673 + 3.20900i 1.02755 + 0.365699i
\(78\) 3.98190 4.81087i 0.450862 0.544723i
\(79\) −6.41273 11.1072i −0.721489 1.24966i −0.960403 0.278615i \(-0.910125\pi\)
0.238914 0.971041i \(-0.423209\pi\)
\(80\) 0.555761 0.0621360
\(81\) −5.12573 + 7.39776i −0.569525 + 0.821974i
\(82\) 2.90780i 0.321112i
\(83\) −0.175313 −0.0192431 −0.00962155 0.999954i \(-0.503063\pi\)
−0.00962155 + 0.999954i \(0.503063\pi\)
\(84\) −1.62503 + 4.28477i −0.177306 + 0.467507i
\(85\) −1.08226 + 1.87453i −0.117388 + 0.203322i
\(86\) −0.303703 + 0.175343i −0.0327492 + 0.0189077i
\(87\) 0.231641 11.2528i 0.0248345 1.20642i
\(88\) −3.61740 −0.385616
\(89\) −3.93114 + 6.80894i −0.416700 + 0.721746i −0.995605 0.0936489i \(-0.970147\pi\)
0.578905 + 0.815395i \(0.303480\pi\)
\(90\) 1.47699 0.773515i 0.155689 0.0815356i
\(91\) −0.328719 9.53373i −0.0344591 0.999406i
\(92\) 7.62233i 0.794683i
\(93\) 6.51550 3.58499i 0.675626 0.371747i
\(94\) 12.5657i 1.29605i
\(95\) −2.63852 + 1.52335i −0.270706 + 0.156292i
\(96\) 0.0356471 1.73168i 0.00363822 0.176739i
\(97\) 2.76030 + 1.59366i 0.280266 + 0.161812i 0.633544 0.773707i \(-0.281600\pi\)
−0.353278 + 0.935518i \(0.614933\pi\)
\(98\) 2.48796 + 6.54294i 0.251322 + 0.660937i
\(99\) −9.61363 + 5.03474i −0.966206 + 0.506010i
\(100\) 4.69113 0.469113
\(101\) 15.4791 1.54023 0.770113 0.637908i \(-0.220200\pi\)
0.770113 + 0.637908i \(0.220200\pi\)
\(102\) 5.77139 + 3.49243i 0.571453 + 0.345802i
\(103\) 16.5688 9.56598i 1.63257 0.942564i 0.649272 0.760557i \(-0.275074\pi\)
0.983297 0.182007i \(-0.0582595\pi\)
\(104\) 1.32525 + 3.35317i 0.129951 + 0.328805i
\(105\) 0.903130 2.38131i 0.0881365 0.232392i
\(106\) −0.904762 1.56709i −0.0878782 0.152210i
\(107\) 1.43461 + 0.828270i 0.138689 + 0.0800719i 0.567739 0.823209i \(-0.307818\pi\)
−0.429050 + 0.903281i \(0.641152\pi\)
\(108\) −2.31544 4.65175i −0.222803 0.447614i
\(109\) −9.65592 + 16.7245i −0.924869 + 1.60192i −0.133097 + 0.991103i \(0.542492\pi\)
−0.791772 + 0.610817i \(0.790841\pi\)
\(110\) 2.01041 0.191685
\(111\) 6.49034 + 11.7958i 0.616036 + 1.11961i
\(112\) −1.71510 2.01455i −0.162062 0.190357i
\(113\) 1.46966 + 0.848506i 0.138254 + 0.0798207i 0.567531 0.823352i \(-0.307899\pi\)
−0.429278 + 0.903172i \(0.641232\pi\)
\(114\) 4.57733 + 8.31900i 0.428706 + 0.779146i
\(115\) 4.23620i 0.395027i
\(116\) 5.62758 + 3.24909i 0.522508 + 0.301670i
\(117\) 8.18896 + 7.06689i 0.757069 + 0.653334i
\(118\) 1.39424i 0.128351i
\(119\) 10.1348 1.86185i 0.929056 0.170676i
\(120\) −0.0198113 + 0.962403i −0.00180852 + 0.0878550i
\(121\) −2.08560 −0.189600
\(122\) −0.289705 + 0.501784i −0.0262287 + 0.0454294i
\(123\) −5.03538 0.103655i −0.454025 0.00934622i
\(124\) 4.29356i 0.385573i
\(125\) −5.38596 −0.481735
\(126\) −7.36194 2.96678i −0.655854 0.264302i
\(127\) −5.98419 10.3649i −0.531011 0.919738i −0.999345 0.0361862i \(-0.988479\pi\)
0.468334 0.883551i \(-0.344854\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −0.292813 0.532168i −0.0257807 0.0468548i
\(130\) −0.736522 1.86356i −0.0645972 0.163445i
\(131\) 3.41067 + 5.90746i 0.297992 + 0.516137i 0.975676 0.219216i \(-0.0703498\pi\)
−0.677684 + 0.735353i \(0.737016\pi\)
\(132\) 0.128950 6.26420i 0.0112237 0.545228i
\(133\) 13.6645 + 4.86310i 1.18486 + 0.421685i
\(134\) −6.83483 3.94609i −0.590439 0.340890i
\(135\) 1.28683 + 2.58526i 0.110753 + 0.222504i
\(136\) −3.37291 + 1.94735i −0.289224 + 0.166984i
\(137\) 5.93695 3.42770i 0.507228 0.292848i −0.224466 0.974482i \(-0.572064\pi\)
0.731693 + 0.681634i \(0.238730\pi\)
\(138\) 13.1995 + 0.271714i 1.12361 + 0.0231299i
\(139\) 0.958211 + 0.553223i 0.0812744 + 0.0469238i 0.540086 0.841610i \(-0.318392\pi\)
−0.458812 + 0.888533i \(0.651725\pi\)
\(140\) 0.953189 + 1.11961i 0.0805592 + 0.0946243i
\(141\) 21.7598 + 0.447932i 1.83251 + 0.0377226i
\(142\) 5.72327 + 9.91300i 0.480287 + 0.831881i
\(143\) 4.79396 + 12.1297i 0.400891 + 1.01434i
\(144\) 2.99746 + 0.123459i 0.249788 + 0.0102883i
\(145\) −3.12759 1.80572i −0.259732 0.149957i
\(146\) −4.62497 8.01069i −0.382766 0.662969i
\(147\) −11.4190 + 4.07512i −0.941823 + 0.336110i
\(148\) −7.77313 −0.638948
\(149\) 0.506197i 0.0414693i 0.999785 + 0.0207346i \(0.00660052\pi\)
−0.999785 + 0.0207346i \(0.993399\pi\)
\(150\) −0.167225 + 8.12355i −0.0136539 + 0.663285i
\(151\) 10.6608 18.4650i 0.867561 1.50266i 0.00307963 0.999995i \(-0.499020\pi\)
0.864481 0.502665i \(-0.167647\pi\)
\(152\) −5.48202 −0.444651
\(153\) −6.25351 + 9.86973i −0.505567 + 0.797921i
\(154\) −6.20422 7.28744i −0.499950 0.587239i
\(155\) 2.38619i 0.191664i
\(156\) −5.85386 + 2.17538i −0.468684 + 0.174170i
\(157\) 9.44004 + 5.45021i 0.753397 + 0.434974i 0.826920 0.562319i \(-0.190091\pi\)
−0.0735227 + 0.997294i \(0.523424\pi\)
\(158\) 12.8255i 1.02034i
\(159\) 2.74596 1.51090i 0.217769 0.119822i
\(160\) −0.481304 0.277881i −0.0380504 0.0219684i
\(161\) 15.3556 13.0731i 1.21019 1.03030i
\(162\) 8.13789 3.84379i 0.639373 0.301997i
\(163\) 23.6900 1.85554 0.927770 0.373152i \(-0.121723\pi\)
0.927770 + 0.373152i \(0.121723\pi\)
\(164\) 1.45390 2.51823i 0.113530 0.196640i
\(165\) −0.0716654 + 3.48140i −0.00557915 + 0.271027i
\(166\) 0.151825 + 0.0876565i 0.0117839 + 0.00680346i
\(167\) −5.41827 9.38472i −0.419278 0.726211i 0.576589 0.817034i \(-0.304383\pi\)
−0.995867 + 0.0908233i \(0.971050\pi\)
\(168\) 3.54970 2.89821i 0.273866 0.223601i
\(169\) 9.48743 8.88755i 0.729803 0.683658i
\(170\) 1.87453 1.08226i 0.143770 0.0830057i
\(171\) −14.5690 + 7.62993i −1.11412 + 0.583476i
\(172\) 0.350686 0.0267396
\(173\) −9.63552 −0.732575 −0.366287 0.930502i \(-0.619371\pi\)
−0.366287 + 0.930502i \(0.619371\pi\)
\(174\) −5.82700 + 9.62937i −0.441744 + 0.730001i
\(175\) 8.04578 + 9.45052i 0.608203 + 0.714392i
\(176\) 3.13276 + 1.80870i 0.236141 + 0.136336i
\(177\) −2.41439 0.0497008i −0.181477 0.00373574i
\(178\) 6.80894 3.93114i 0.510352 0.294652i
\(179\) 18.7722i 1.40310i −0.712619 0.701552i \(-0.752491\pi\)
0.712619 0.701552i \(-0.247509\pi\)
\(180\) −1.66587 0.0686138i −0.124167 0.00511417i
\(181\) 1.79237i 0.133226i 0.997779 + 0.0666129i \(0.0212193\pi\)
−0.997779 + 0.0666129i \(0.978781\pi\)
\(182\) −4.48218 + 8.42081i −0.332242 + 0.624192i
\(183\) −0.858604 0.519565i −0.0634698 0.0384073i
\(184\) −3.81117 + 6.60113i −0.280963 + 0.486642i
\(185\) 4.32001 0.317613
\(186\) −7.43508 0.153053i −0.545167 0.0112224i
\(187\) −12.2012 + 7.04434i −0.892237 + 0.515134i
\(188\) −6.28286 + 10.8822i −0.458224 + 0.793668i
\(189\) 5.39996 12.6428i 0.392789 0.919628i
\(190\) 3.04670 0.221031
\(191\) 0.303911i 0.0219902i −0.999940 0.0109951i \(-0.996500\pi\)
0.999940 0.0109951i \(-0.00349992\pi\)
\(192\) −0.896713 + 1.48186i −0.0647147 + 0.106944i
\(193\) 11.7410 0.845137 0.422568 0.906331i \(-0.361129\pi\)
0.422568 + 0.906331i \(0.361129\pi\)
\(194\) −1.59366 2.76030i −0.114418 0.198178i
\(195\) 3.25335 1.20899i 0.232977 0.0865778i
\(196\) 1.11684 6.91033i 0.0797739 0.493595i
\(197\) −12.6942 + 7.32902i −0.904427 + 0.522171i −0.878634 0.477496i \(-0.841544\pi\)
−0.0257931 + 0.999667i \(0.508211\pi\)
\(198\) 10.8430 + 0.446601i 0.770579 + 0.0317386i
\(199\) −11.6741 + 6.74005i −0.827556 + 0.477790i −0.853015 0.521886i \(-0.825229\pi\)
0.0254591 + 0.999676i \(0.491895\pi\)
\(200\) −4.06264 2.34556i −0.287272 0.165856i
\(201\) 7.07702 11.6951i 0.499175 0.824909i
\(202\) −13.4053 7.73954i −0.943192 0.544552i
\(203\) 3.10644 + 16.9096i 0.218029 + 1.18682i
\(204\) −3.25196 5.91023i −0.227683 0.413799i
\(205\) −0.808021 + 1.39953i −0.0564346 + 0.0977476i
\(206\) −19.1320 −1.33299
\(207\) −0.941046 + 22.8476i −0.0654073 + 1.58802i
\(208\) 0.528884 3.56655i 0.0366715 0.247296i
\(209\) −19.8307 −1.37172
\(210\) −1.97279 + 1.61071i −0.136135 + 0.111150i
\(211\) −0.786213 1.36176i −0.0541251 0.0937474i 0.837693 0.546141i \(-0.183904\pi\)
−0.891819 + 0.452393i \(0.850570\pi\)
\(212\) 1.80952i 0.124279i
\(213\) −17.3702 + 9.55753i −1.19019 + 0.654871i
\(214\) −0.828270 1.43461i −0.0566194 0.0980676i
\(215\) −0.194898 −0.0132919
\(216\) −0.320643 + 5.18625i −0.0218170 + 0.352880i
\(217\) −8.64959 + 7.36390i −0.587173 + 0.499894i
\(218\) 16.7245 9.65592i 1.13273 0.653981i
\(219\) 14.0369 7.72344i 0.948523 0.521901i
\(220\) −1.74107 1.00521i −0.117383 0.0677710i
\(221\) 10.9997 + 8.72919i 0.739922 + 0.587189i
\(222\) 0.277090 13.4606i 0.0185971 0.903417i
\(223\) −0.686501 + 0.396352i −0.0459715 + 0.0265417i −0.522810 0.852449i \(-0.675116\pi\)
0.476838 + 0.878991i \(0.341783\pi\)
\(224\) 0.478048 + 2.60220i 0.0319409 + 0.173867i
\(225\) −14.0615 0.579163i −0.937431 0.0386108i
\(226\) −0.848506 1.46966i −0.0564418 0.0977600i
\(227\) −6.07037 10.5142i −0.402905 0.697851i 0.591170 0.806547i \(-0.298666\pi\)
−0.994075 + 0.108695i \(0.965333\pi\)
\(228\) 0.195418 9.49313i 0.0129419 0.628698i
\(229\) −14.6485 + 8.45733i −0.968002 + 0.558876i −0.898626 0.438715i \(-0.855434\pi\)
−0.0693752 + 0.997591i \(0.522101\pi\)
\(230\) 2.11810 3.66865i 0.139663 0.241904i
\(231\) 12.8407 10.4840i 0.844857 0.689795i
\(232\) −3.24909 5.62758i −0.213313 0.369469i
\(233\) −10.0101 + 5.77933i −0.655783 + 0.378617i −0.790668 0.612245i \(-0.790267\pi\)
0.134885 + 0.990861i \(0.456933\pi\)
\(234\) −3.55840 10.2146i −0.232620 0.667748i
\(235\) 3.49177 6.04792i 0.227778 0.394523i
\(236\) 0.697122 1.20745i 0.0453788 0.0785984i
\(237\) −22.2097 0.457191i −1.44267 0.0296978i
\(238\) −9.70792 3.45499i −0.629271 0.223954i
\(239\) 28.9533i 1.87283i −0.350893 0.936415i \(-0.614122\pi\)
0.350893 0.936415i \(-0.385878\pi\)
\(240\) 0.498359 0.823560i 0.0321689 0.0531606i
\(241\) 5.42282 3.13087i 0.349314 0.201677i −0.315069 0.949069i \(-0.602028\pi\)
0.664383 + 0.747392i \(0.268694\pi\)
\(242\) 1.80618 + 1.04280i 0.116106 + 0.0670336i
\(243\) 6.36613 + 14.2293i 0.408388 + 0.912809i
\(244\) 0.501784 0.289705i 0.0321234 0.0185465i
\(245\) −0.620694 + 3.84050i −0.0396547 + 0.245360i
\(246\) 4.30894 + 2.60746i 0.274728 + 0.166246i
\(247\) 7.26504 + 18.3821i 0.462263 + 1.16963i
\(248\) 2.14678 3.71833i 0.136321 0.236114i
\(249\) −0.157205 + 0.259789i −0.00996249 + 0.0164635i
\(250\) 4.66437 + 2.69298i 0.295001 + 0.170319i
\(251\) −4.51440 + 7.81917i −0.284946 + 0.493542i −0.972596 0.232501i \(-0.925309\pi\)
0.687650 + 0.726043i \(0.258642\pi\)
\(252\) 4.89224 + 6.25028i 0.308182 + 0.393731i
\(253\) −13.7865 + 23.8790i −0.866751 + 1.50126i
\(254\) 11.9684i 0.750963i
\(255\) 1.80731 + 3.28468i 0.113178 + 0.205694i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.17253 + 15.8873i −0.572166 + 0.991021i 0.424177 + 0.905579i \(0.360564\pi\)
−0.996343 + 0.0854419i \(0.972770\pi\)
\(258\) −0.0125010 + 0.607278i −0.000778276 + 0.0378075i
\(259\) −13.3317 15.6594i −0.828394 0.973026i
\(260\) −0.293933 + 1.98215i −0.0182290 + 0.122928i
\(261\) −16.4673 10.4338i −1.01930 0.645835i
\(262\) 6.82135i 0.421424i
\(263\) 20.4487i 1.26092i −0.776222 0.630459i \(-0.782867\pi\)
0.776222 0.630459i \(-0.217133\pi\)
\(264\) −3.24377 + 5.36048i −0.199640 + 0.329915i
\(265\) 1.00566i 0.0617774i
\(266\) −9.40224 11.0438i −0.576488 0.677140i
\(267\) 6.56478 + 11.9311i 0.401758 + 0.730169i
\(268\) 3.94609 + 6.83483i 0.241046 + 0.417504i
\(269\) 13.5740 + 23.5109i 0.827623 + 1.43348i 0.899898 + 0.436100i \(0.143641\pi\)
−0.0722757 + 0.997385i \(0.523026\pi\)
\(270\) 0.178201 2.88232i 0.0108450 0.175412i
\(271\) −9.23798 5.33355i −0.561167 0.323990i 0.192447 0.981307i \(-0.438358\pi\)
−0.753614 + 0.657317i \(0.771691\pi\)
\(272\) 3.89470 0.236151
\(273\) −14.4224 8.06190i −0.872884 0.487929i
\(274\) −6.85540 −0.414150
\(275\) −14.6962 8.48485i −0.886214 0.511656i
\(276\) −11.2952 6.83505i −0.679892 0.411421i
\(277\) −9.52004 16.4892i −0.572004 0.990740i −0.996360 0.0852446i \(-0.972833\pi\)
0.424356 0.905495i \(-0.360501\pi\)
\(278\) −0.553223 0.958211i −0.0331801 0.0574697i
\(279\) 0.530079 12.8698i 0.0317350 0.770492i
\(280\) −0.265681 1.44621i −0.0158775 0.0864273i
\(281\) 3.32671i 0.198455i 0.995065 + 0.0992275i \(0.0316372\pi\)
−0.995065 + 0.0992275i \(0.968363\pi\)
\(282\) −18.6206 11.2678i −1.10884 0.670990i
\(283\) 18.6287i 1.10736i −0.832728 0.553682i \(-0.813222\pi\)
0.832728 0.553682i \(-0.186778\pi\)
\(284\) 11.4465i 0.679228i
\(285\) −0.108606 + 5.27591i −0.00643326 + 0.312518i
\(286\) 1.91319 12.9016i 0.113129 0.762890i
\(287\) 7.56668 1.39007i 0.446647 0.0820530i
\(288\) −2.53415 1.60565i −0.149326 0.0946137i
\(289\) 0.915663 1.58597i 0.0538625 0.0932926i
\(290\) 1.80572 + 3.12759i 0.106035 + 0.183659i
\(291\) 4.83677 2.66132i 0.283537 0.156009i
\(292\) 9.24995i 0.541312i
\(293\) 11.9791 20.7484i 0.699826 1.21213i −0.268701 0.963224i \(-0.586594\pi\)
0.968527 0.248910i \(-0.0800723\pi\)
\(294\) 11.9267 + 2.18034i 0.695579 + 0.127160i
\(295\) −0.387434 + 0.671055i −0.0225573 + 0.0390703i
\(296\) 6.73173 + 3.88657i 0.391274 + 0.225902i
\(297\) −1.15989 + 18.7608i −0.0673039 + 1.08861i
\(298\) 0.253099 0.438380i 0.0146616 0.0253947i
\(299\) 27.1854 + 4.03133i 1.57217 + 0.233138i
\(300\) 4.20660 6.95159i 0.242868 0.401350i
\(301\) 0.601463 + 0.706475i 0.0346678 + 0.0407206i
\(302\) −18.4650 + 10.6608i −1.06254 + 0.613458i
\(303\) 13.8803 22.9378i 0.797402 1.31774i
\(304\) 4.74757 + 2.74101i 0.272292 + 0.157208i
\(305\) −0.278872 + 0.161007i −0.0159682 + 0.00921923i
\(306\) 10.3506 5.42068i 0.591703 0.309880i
\(307\) 9.95255i 0.568022i 0.958821 + 0.284011i \(0.0916652\pi\)
−0.958821 + 0.284011i \(0.908335\pi\)
\(308\) 1.72929 + 9.41322i 0.0985356 + 0.536368i
\(309\) 0.681999 33.1305i 0.0387976 1.88473i
\(310\) −1.19310 + 2.06650i −0.0677633 + 0.117370i
\(311\) 7.68799 13.3160i 0.435946 0.755081i −0.561426 0.827527i \(-0.689747\pi\)
0.997372 + 0.0724462i \(0.0230805\pi\)
\(312\) 6.15728 + 1.04300i 0.348588 + 0.0590481i
\(313\) −11.7829 + 6.80287i −0.666010 + 0.384521i −0.794563 0.607181i \(-0.792300\pi\)
0.128553 + 0.991703i \(0.458967\pi\)
\(314\) −5.45021 9.44004i −0.307573 0.532732i
\(315\) −2.71892 3.47366i −0.153194 0.195719i
\(316\) 6.41273 11.1072i 0.360744 0.624828i
\(317\) −10.4205 + 6.01626i −0.585272 + 0.337907i −0.763226 0.646132i \(-0.776386\pi\)
0.177954 + 0.984039i \(0.443052\pi\)
\(318\) −3.13352 0.0645043i −0.175719 0.00361722i
\(319\) −11.7532 20.3572i −0.658056 1.13979i
\(320\) 0.277881 + 0.481304i 0.0155340 + 0.0269057i
\(321\) 2.51381 1.38316i 0.140307 0.0772006i
\(322\) −19.8349 + 3.64384i −1.10535 + 0.203063i
\(323\) −18.4903 + 10.6754i −1.02883 + 0.593996i
\(324\) −8.96952 0.740127i −0.498306 0.0411182i
\(325\) −2.48106 + 16.7311i −0.137625 + 0.928077i
\(326\) −20.5161 11.8450i −1.13628 0.656033i
\(327\) 16.1248 + 29.3058i 0.891704 + 1.62062i
\(328\) −2.51823 + 1.45390i −0.139046 + 0.0802781i
\(329\) −32.6986 + 6.00701i −1.80273 + 0.331177i
\(330\) 1.80276 2.97915i 0.0992389 0.163997i
\(331\) 17.3739 0.954958 0.477479 0.878643i \(-0.341551\pi\)
0.477479 + 0.878643i \(0.341551\pi\)
\(332\) −0.0876565 0.151825i −0.00481077 0.00833250i
\(333\) 23.2996 + 0.959664i 1.27681 + 0.0525893i
\(334\) 10.8365i 0.592949i
\(335\) −2.19308 3.79853i −0.119821 0.207536i
\(336\) −4.52324 + 0.735067i −0.246763 + 0.0401012i
\(337\) 11.9191 0.649274 0.324637 0.945839i \(-0.394758\pi\)
0.324637 + 0.945839i \(0.394758\pi\)
\(338\) −12.6601 + 2.95313i −0.688621 + 0.160629i
\(339\) 2.57523 1.41696i 0.139867 0.0769584i
\(340\) −2.16452 −0.117388
\(341\) 7.76576 13.4507i 0.420540 0.728396i
\(342\) 16.4321 + 0.676805i 0.888548 + 0.0365974i
\(343\) 15.8367 9.60202i 0.855102 0.518460i
\(344\) −0.303703 0.175343i −0.0163746 0.00945387i
\(345\) 6.27745 + 3.79865i 0.337966 + 0.204513i
\(346\) 8.34460 + 4.81776i 0.448609 + 0.259004i
\(347\) −14.8209 + 8.55683i −0.795626 + 0.459355i −0.841939 0.539572i \(-0.818586\pi\)
0.0463133 + 0.998927i \(0.485253\pi\)
\(348\) 9.86101 5.42578i 0.528606 0.290852i
\(349\) −0.660860 + 0.381547i −0.0353750 + 0.0204238i −0.517583 0.855633i \(-0.673168\pi\)
0.482208 + 0.876057i \(0.339835\pi\)
\(350\) −2.24259 12.2073i −0.119871 0.652507i
\(351\) 17.8153 5.79790i 0.950910 0.309469i
\(352\) −1.80870 3.13276i −0.0964041 0.166977i
\(353\) 9.11766 0.485284 0.242642 0.970116i \(-0.421986\pi\)
0.242642 + 0.970116i \(0.421986\pi\)
\(354\) 2.06607 + 1.25024i 0.109811 + 0.0664494i
\(355\) 6.36155i 0.337636i
\(356\) −7.86229 −0.416700
\(357\) 6.32901 16.6879i 0.334967 0.883217i
\(358\) −9.38612 + 16.2572i −0.496072 + 0.859222i
\(359\) −8.53982 + 4.93047i −0.450715 + 0.260220i −0.708132 0.706080i \(-0.750462\pi\)
0.257417 + 0.966300i \(0.417128\pi\)
\(360\) 1.40838 + 0.892357i 0.0742282 + 0.0470314i
\(361\) −11.0525 −0.581713
\(362\) 0.896185 1.55224i 0.0471024 0.0815838i
\(363\) −1.87018 + 3.09056i −0.0981591 + 0.162212i
\(364\) 8.09209 5.05154i 0.424141 0.264773i
\(365\) 5.14076i 0.269080i
\(366\) 0.483791 + 0.879258i 0.0252881 + 0.0459596i
\(367\) 22.6445i 1.18203i 0.806660 + 0.591016i \(0.201273\pi\)
−0.806660 + 0.591016i \(0.798727\pi\)
\(368\) 6.60113 3.81117i 0.344108 0.198671i
\(369\) −4.66890 + 7.36878i −0.243053 + 0.383603i
\(370\) −3.74124 2.16000i −0.194498 0.112293i
\(371\) −3.64538 + 3.10352i −0.189259 + 0.161127i
\(372\) 6.36245 + 3.85009i 0.329877 + 0.199618i
\(373\) −2.65410 −0.137424 −0.0687121 0.997637i \(-0.521889\pi\)
−0.0687121 + 0.997637i \(0.521889\pi\)
\(374\) 14.0887 0.728509
\(375\) −4.82966 + 7.98123i −0.249402 + 0.412149i
\(376\) 10.8822 6.28286i 0.561208 0.324014i
\(377\) −14.5644 + 18.3527i −0.750103 + 0.945210i
\(378\) −10.9979 + 8.24901i −0.565671 + 0.424283i
\(379\) 4.91414 + 8.51153i 0.252422 + 0.437208i 0.964192 0.265205i \(-0.0854395\pi\)
−0.711770 + 0.702413i \(0.752106\pi\)
\(380\) −2.63852 1.52335i −0.135353 0.0781461i
\(381\) −20.7254 0.426638i −1.06180 0.0218573i
\(382\) −0.151955 + 0.263194i −0.00777471 + 0.0134662i
\(383\) −36.2432 −1.85194 −0.925970 0.377596i \(-0.876751\pi\)
−0.925970 + 0.377596i \(0.876751\pi\)
\(384\) 1.51751 0.834971i 0.0774399 0.0426094i
\(385\) −0.961074 5.23151i −0.0489809 0.266622i
\(386\) −10.1680 5.87051i −0.517538 0.298801i
\(387\) −1.05117 0.0432954i −0.0534338 0.00220083i
\(388\) 3.18732i 0.161812i
\(389\) −11.4567 6.61455i −0.580880 0.335371i 0.180603 0.983556i \(-0.442195\pi\)
−0.761483 + 0.648185i \(0.775528\pi\)
\(390\) −3.42198 0.579657i −0.173279 0.0293521i
\(391\) 29.6867i 1.50132i
\(392\) −4.42237 + 5.42611i −0.223364 + 0.274060i
\(393\) 11.8124 + 0.243161i 0.595858 + 0.0122659i
\(394\) 14.6580 0.738461
\(395\) −3.56395 + 6.17294i −0.179322 + 0.310594i
\(396\) −9.16702 5.80827i −0.460660 0.291877i
\(397\) 1.74991i 0.0878256i 0.999035 + 0.0439128i \(0.0139824\pi\)
−0.999035 + 0.0439128i \(0.986018\pi\)
\(398\) 13.4801 0.675697
\(399\) 19.4596 15.8880i 0.974196 0.795396i
\(400\) 2.34556 + 4.06264i 0.117278 + 0.203132i
\(401\) −8.88833 5.13168i −0.443862 0.256264i 0.261372 0.965238i \(-0.415825\pi\)
−0.705234 + 0.708974i \(0.749158\pi\)
\(402\) −11.9764 + 6.58974i −0.597330 + 0.328666i
\(403\) −15.3132 2.27079i −0.762804 0.113116i
\(404\) 7.73954 + 13.4053i 0.385056 + 0.666937i
\(405\) 4.98491 + 0.411334i 0.247702 + 0.0204394i
\(406\) 5.76453 16.1973i 0.286089 0.803860i
\(407\) 24.3514 + 14.0593i 1.20705 + 0.696892i
\(408\) −0.138835 + 6.74439i −0.00687335 + 0.333897i
\(409\) −12.6206 + 7.28652i −0.624050 + 0.360295i −0.778444 0.627714i \(-0.783991\pi\)
0.154394 + 0.988009i \(0.450657\pi\)
\(410\) 1.39953 0.808021i 0.0691180 0.0399053i
\(411\) 0.244375 11.8714i 0.0120541 0.585572i
\(412\) 16.5688 + 9.56598i 0.816284 + 0.471282i
\(413\) 3.62811 0.666516i 0.178528 0.0327971i
\(414\) 12.2388 19.3161i 0.601503 0.949334i
\(415\) 0.0487161 + 0.0843787i 0.00239138 + 0.00414199i
\(416\) −2.24130 + 2.82428i −0.109889 + 0.138472i
\(417\) 1.67904 0.923851i 0.0822229 0.0452412i
\(418\) 17.1739 + 9.91534i 0.840001 + 0.484975i
\(419\) 17.3685 + 30.0831i 0.848505 + 1.46965i 0.882542 + 0.470234i \(0.155830\pi\)
−0.0340367 + 0.999421i \(0.510836\pi\)
\(420\) 2.51384 0.408522i 0.122663 0.0199338i
\(421\) 31.5971 1.53995 0.769973 0.638076i \(-0.220269\pi\)
0.769973 + 0.638076i \(0.220269\pi\)
\(422\) 1.57243i 0.0765445i
\(423\) 20.1761 31.8433i 0.980996 1.54828i
\(424\) 0.904762 1.56709i 0.0439391 0.0761048i
\(425\) −18.2705 −0.886251
\(426\) 19.8218 + 0.408037i 0.960370 + 0.0197694i
\(427\) 1.44424 + 0.513995i 0.0698916 + 0.0248740i
\(428\) 1.65654i 0.0800719i
\(429\) 22.2734 + 3.77294i 1.07537 + 0.182159i
\(430\) 0.168786 + 0.0974489i 0.00813961 + 0.00469940i
\(431\) 22.9238i 1.10420i 0.833778 + 0.552100i \(0.186173\pi\)
−0.833778 + 0.552100i \(0.813827\pi\)
\(432\) 2.87081 4.33110i 0.138122 0.208380i
\(433\) 17.3262 + 10.0033i 0.832643 + 0.480727i 0.854757 0.519029i \(-0.173706\pi\)
−0.0221138 + 0.999755i \(0.507040\pi\)
\(434\) 11.1727 2.05253i 0.536307 0.0985244i
\(435\) −5.48037 + 3.01544i −0.262764 + 0.144579i
\(436\) −19.3118 −0.924869
\(437\) −20.8929 + 36.1875i −0.999442 + 1.73108i
\(438\) −16.0180 0.329734i −0.765369 0.0157553i
\(439\) 12.0087 + 6.93320i 0.573142 + 0.330904i 0.758403 0.651786i \(-0.225980\pi\)
−0.185261 + 0.982689i \(0.559313\pi\)
\(440\) 1.00521 + 1.74107i 0.0479213 + 0.0830022i
\(441\) −4.20081 + 20.5755i −0.200039 + 0.979788i
\(442\) −5.16144 13.0596i −0.245505 0.621180i
\(443\) 30.9904 17.8923i 1.47240 0.850089i 0.472879 0.881128i \(-0.343215\pi\)
0.999518 + 0.0310388i \(0.00988154\pi\)
\(444\) −6.97027 + 11.5187i −0.330795 + 0.546653i
\(445\) 4.36956 0.207137
\(446\) 0.792703 0.0375356
\(447\) 0.750113 + 0.453914i 0.0354791 + 0.0214694i
\(448\) 0.887101 2.49260i 0.0419116 0.117764i
\(449\) 8.26617 + 4.77247i 0.390105 + 0.225227i 0.682205 0.731161i \(-0.261021\pi\)
−0.292101 + 0.956388i \(0.594354\pi\)
\(450\) 11.8880 + 7.53230i 0.560406 + 0.355076i
\(451\) −9.10943 + 5.25933i −0.428947 + 0.247652i
\(452\) 1.69701i 0.0798207i
\(453\) −17.8029 32.3556i −0.836451 1.52020i
\(454\) 12.1407i 0.569793i
\(455\) −4.49727 + 2.80745i −0.210835 + 0.131615i
\(456\) −4.91580 + 8.12358i −0.230203 + 0.380421i
\(457\) 3.28026 5.68157i 0.153444 0.265773i −0.779047 0.626965i \(-0.784297\pi\)
0.932491 + 0.361192i \(0.117630\pi\)
\(458\) 16.9147 0.790370
\(459\) 9.01794 + 18.1171i 0.420921 + 0.845636i
\(460\) −3.66865 + 2.11810i −0.171052 + 0.0987569i
\(461\) 1.37324 2.37852i 0.0639581 0.110779i −0.832273 0.554366i \(-0.812961\pi\)
0.896231 + 0.443587i \(0.146294\pi\)
\(462\) −16.3624 + 2.65903i −0.761246 + 0.123709i
\(463\) 3.40968 0.158461 0.0792306 0.996856i \(-0.474754\pi\)
0.0792306 + 0.996856i \(0.474754\pi\)
\(464\) 6.49817i 0.301670i
\(465\) −3.53600 2.13973i −0.163978 0.0992277i
\(466\) 11.5587 0.535445
\(467\) 2.17534 + 3.76781i 0.100663 + 0.174353i 0.911958 0.410284i \(-0.134570\pi\)
−0.811295 + 0.584637i \(0.801237\pi\)
\(468\) −2.02563 + 10.6253i −0.0936348 + 0.491154i
\(469\) −7.00116 + 19.6720i −0.323283 + 0.908371i
\(470\) −6.04792 + 3.49177i −0.278970 + 0.161063i
\(471\) 16.5415 9.10153i 0.762190 0.419377i
\(472\) −1.20745 + 0.697122i −0.0555775 + 0.0320877i
\(473\) −1.09862 0.634286i −0.0505144 0.0291645i
\(474\) 19.0055 + 11.5008i 0.872953 + 0.528248i
\(475\) −22.2715 12.8584i −1.02188 0.589985i
\(476\) 6.67981 + 7.84607i 0.306169 + 0.359624i
\(477\) 0.223402 5.42397i 0.0102289 0.248347i
\(478\) −14.4766 + 25.0743i −0.662146 + 1.14687i
\(479\) 38.5085 1.75950 0.879748 0.475440i \(-0.157711\pi\)
0.879748 + 0.475440i \(0.157711\pi\)
\(480\) −0.843371 + 0.464044i −0.0384945 + 0.0211806i
\(481\) 4.11108 27.7233i 0.187449 1.26407i
\(482\) −6.26173 −0.285214
\(483\) −5.60293 34.4776i −0.254942 1.56879i
\(484\) −1.04280 1.80618i −0.0473999 0.0820991i
\(485\) 1.77139i 0.0804346i
\(486\) 1.60140 15.5060i 0.0726412 0.703366i
\(487\) −4.44243 7.69451i −0.201306 0.348672i 0.747644 0.664100i \(-0.231185\pi\)
−0.948949 + 0.315428i \(0.897852\pi\)
\(488\) −0.579410 −0.0262287
\(489\) 21.2431 35.1052i 0.960646 1.58751i
\(490\) 2.45778 3.01562i 0.111031 0.136232i
\(491\) −9.49716 + 5.48319i −0.428601 + 0.247453i −0.698750 0.715366i \(-0.746260\pi\)
0.270149 + 0.962818i \(0.412927\pi\)
\(492\) −2.42792 4.41260i −0.109459 0.198935i
\(493\) −21.9177 12.6542i −0.987125 0.569917i
\(494\) 2.89935 19.5519i 0.130448 0.879682i
\(495\) 5.09468 + 3.22801i 0.228989 + 0.145088i
\(496\) −3.71833 + 2.14678i −0.166958 + 0.0963932i
\(497\) 23.0597 19.6320i 1.03437 0.880617i
\(498\) 0.266038 0.146381i 0.0119215 0.00655950i
\(499\) −12.9437 22.4192i −0.579441 1.00362i −0.995543 0.0943038i \(-0.969938\pi\)
0.416102 0.909318i \(-0.363396\pi\)
\(500\) −2.69298 4.66437i −0.120434 0.208597i
\(501\) −18.7655 0.386291i −0.838379 0.0172582i
\(502\) 7.81917 4.51440i 0.348987 0.201488i
\(503\) 6.97090 12.0739i 0.310817 0.538351i −0.667723 0.744410i \(-0.732731\pi\)
0.978539 + 0.206060i \(0.0660641\pi\)
\(504\) −1.11166 7.85902i −0.0495174 0.350069i
\(505\) −4.30134 7.45013i −0.191407 0.331527i
\(506\) 23.8790 13.7865i 1.06155 0.612886i
\(507\) −4.66259 22.0286i −0.207073 0.978325i
\(508\) 5.98419 10.3649i 0.265505 0.459869i
\(509\) −7.30056 + 12.6449i −0.323592 + 0.560477i −0.981226 0.192860i \(-0.938224\pi\)
0.657635 + 0.753337i \(0.271557\pi\)
\(510\) 0.0771590 3.74827i 0.00341666 0.165976i
\(511\) −18.6345 + 15.8646i −0.824342 + 0.701810i
\(512\) 1.00000i 0.0441942i
\(513\) −1.75777 + 28.4311i −0.0776075 + 1.25526i
\(514\) 15.8873 9.17253i 0.700758 0.404583i
\(515\) −9.20828 5.31640i −0.405765 0.234269i
\(516\) 0.314465 0.519667i 0.0138435 0.0228771i
\(517\) 39.3654 22.7276i 1.73129 0.999559i
\(518\) 3.71593 + 20.2273i 0.163269 + 0.888736i
\(519\) −8.64030 + 14.2785i −0.379267 + 0.626755i
\(520\) 1.24563 1.56963i 0.0546245 0.0688327i
\(521\) 17.7206 30.6930i 0.776355 1.34469i −0.157674 0.987491i \(-0.550400\pi\)
0.934030 0.357196i \(-0.116267\pi\)
\(522\) 9.04422 + 17.2696i 0.395855 + 0.755869i
\(523\) −15.5606 8.98390i −0.680417 0.392839i 0.119595 0.992823i \(-0.461840\pi\)
−0.800012 + 0.599984i \(0.795174\pi\)
\(524\) −3.41067 + 5.90746i −0.148996 + 0.258069i
\(525\) 21.2191 3.44829i 0.926077 0.150496i
\(526\) −10.2243 + 17.7091i −0.445802 + 0.772152i
\(527\) 16.7221i 0.728427i
\(528\) 5.48943 3.02042i 0.238897 0.131447i
\(529\) 17.5500 + 30.3974i 0.763042 + 1.32163i
\(530\) −0.502832 + 0.870930i −0.0218416 + 0.0378308i
\(531\) −2.23867 + 3.53322i −0.0971499 + 0.153329i
\(532\) 2.62067 + 14.2653i 0.113620 + 0.618481i
\(533\) 8.21244 + 6.51725i 0.355720 + 0.282293i
\(534\) 0.280268 13.6150i 0.0121284 0.589178i
\(535\) 0.920641i 0.0398028i
\(536\) 7.89218i 0.340890i
\(537\) −27.8178 16.8333i −1.20043 0.726411i
\(538\) 27.1480i 1.17044i
\(539\) −15.9975 + 19.6284i −0.689061 + 0.845455i
\(540\) −1.59549 + 2.40706i −0.0686588 + 0.103583i
\(541\) −5.65426 9.79347i −0.243096 0.421054i 0.718499 0.695528i \(-0.244830\pi\)
−0.961594 + 0.274474i \(0.911496\pi\)
\(542\) 5.33355 + 9.23798i 0.229096 + 0.396805i
\(543\) 2.65604 + 1.60724i 0.113982 + 0.0689733i
\(544\) −3.37291 1.94735i −0.144612 0.0834919i
\(545\) 10.7328 0.459741
\(546\) 8.45921 + 14.1930i 0.362021 + 0.607405i
\(547\) −18.1327 −0.775298 −0.387649 0.921807i \(-0.626713\pi\)
−0.387649 + 0.921807i \(0.626713\pi\)
\(548\) 5.93695 + 3.42770i 0.253614 + 0.146424i
\(549\) −1.53984 + 0.806429i −0.0657189 + 0.0344176i
\(550\) 8.48485 + 14.6962i 0.361795 + 0.626648i
\(551\) −17.8116 30.8505i −0.758798 1.31428i
\(552\) 6.36442 + 11.5669i 0.270888 + 0.492321i
\(553\) 33.3745 6.13119i 1.41923 0.260725i
\(554\) 19.0401i 0.808936i
\(555\) 3.87381 6.40164i 0.164434 0.271735i
\(556\) 1.10645i 0.0469238i
\(557\) 6.59941i 0.279626i 0.990178 + 0.139813i \(0.0446502\pi\)
−0.990178 + 0.139813i \(0.955350\pi\)
\(558\) −6.89394 + 10.8805i −0.291844 + 0.460608i
\(559\) −0.185472 + 1.25074i −0.00784464 + 0.0529007i
\(560\) −0.493016 + 1.38529i −0.0208337 + 0.0585392i
\(561\) −0.502221 + 24.3972i −0.0212038 + 1.03005i
\(562\) 1.66336 2.88102i 0.0701645 0.121528i
\(563\) 16.4714 + 28.5293i 0.694187 + 1.20237i 0.970454 + 0.241286i \(0.0775691\pi\)
−0.276267 + 0.961081i \(0.589098\pi\)
\(564\) 10.4920 + 19.0685i 0.441793 + 0.802930i
\(565\) 0.943134i 0.0396779i
\(566\) −9.31437 + 16.1330i −0.391512 + 0.678119i
\(567\) −13.8926 19.3389i −0.583436 0.812159i
\(568\) −5.72327 + 9.91300i −0.240143 + 0.415940i
\(569\) −3.33368 1.92470i −0.139755 0.0806876i 0.428492 0.903545i \(-0.359045\pi\)
−0.568247 + 0.822858i \(0.692378\pi\)
\(570\) 2.73201 4.51477i 0.114431 0.189103i
\(571\) 5.78822 10.0255i 0.242229 0.419554i −0.719120 0.694886i \(-0.755455\pi\)
0.961349 + 0.275333i \(0.0887880\pi\)
\(572\) −8.10769 + 10.2166i −0.339000 + 0.427176i
\(573\) −0.450353 0.272521i −0.0188138 0.0113847i
\(574\) −7.24797 2.57951i −0.302525 0.107667i
\(575\) −30.9668 + 17.8787i −1.29140 + 0.745592i
\(576\) 1.39181 + 2.65760i 0.0579921 + 0.110734i
\(577\) −11.3976 6.58040i −0.474487 0.273945i 0.243629 0.969869i \(-0.421662\pi\)
−0.718116 + 0.695923i \(0.754995\pi\)
\(578\) −1.58597 + 0.915663i −0.0659678 + 0.0380865i
\(579\) 10.5283 17.3985i 0.437542 0.723058i
\(580\) 3.61143i 0.149957i
\(581\) 0.155520 0.436985i 0.00645207 0.0181292i
\(582\) −5.51943 0.113619i −0.228788 0.00470965i
\(583\) 3.27289 5.66881i 0.135549 0.234778i
\(584\) 4.62497 8.01069i 0.191383 0.331485i
\(585\) 1.12577 5.90513i 0.0465447 0.244147i
\(586\) −20.7484 + 11.9791i −0.857108 + 0.494851i
\(587\) 8.67657 + 15.0283i 0.358120 + 0.620283i 0.987647 0.156696i \(-0.0500844\pi\)
−0.629526 + 0.776979i \(0.716751\pi\)
\(588\) −9.23865 7.85158i −0.380996 0.323794i
\(589\) 11.7687 20.3840i 0.484920 0.839906i
\(590\) 0.671055 0.387434i 0.0276269 0.0159504i
\(591\) −0.522517 + 25.3831i −0.0214935 + 1.04412i
\(592\) −3.88657 6.73173i −0.159737 0.276672i
\(593\) 15.6405 + 27.0901i 0.642278 + 1.11246i 0.984923 + 0.172994i \(0.0553440\pi\)
−0.342645 + 0.939465i \(0.611323\pi\)
\(594\) 10.3849 15.6673i 0.426097 0.642839i
\(595\) −3.71238 4.36054i −0.152193 0.178765i
\(596\) −0.438380 + 0.253099i −0.0179567 + 0.0103673i
\(597\) −0.480527 + 23.3433i −0.0196667 + 0.955377i
\(598\) −21.5276 17.0839i −0.880329 0.698615i
\(599\) −8.02273 4.63192i −0.327800 0.189255i 0.327064 0.945002i \(-0.393941\pi\)
−0.654864 + 0.755747i \(0.727274\pi\)
\(600\) −7.11882 + 3.91696i −0.290624 + 0.159909i
\(601\) −9.30956 + 5.37488i −0.379745 + 0.219246i −0.677707 0.735332i \(-0.737026\pi\)
0.297962 + 0.954578i \(0.403693\pi\)
\(602\) −0.167645 0.912557i −0.00683269 0.0371931i
\(603\) −10.9844 20.9743i −0.447320 0.854139i
\(604\) 21.3215 0.867561
\(605\) 0.579547 + 1.00381i 0.0235619 + 0.0408105i
\(606\) −23.4896 + 12.9246i −0.954199 + 0.525025i
\(607\) 15.9971i 0.649302i −0.945834 0.324651i \(-0.894753\pi\)
0.945834 0.324651i \(-0.105247\pi\)
\(608\) −2.74101 4.74757i −0.111163 0.192539i
\(609\) 27.8432 + 10.5597i 1.12826 + 0.427902i
\(610\) 0.322014 0.0130380
\(611\) −35.4891 28.1636i −1.43574 1.13938i
\(612\) −11.6742 0.480836i −0.471901 0.0194366i
\(613\) −14.5909 −0.589321 −0.294661 0.955602i \(-0.595207\pi\)
−0.294661 + 0.955602i \(0.595207\pi\)
\(614\) 4.97628 8.61916i 0.200826 0.347841i
\(615\) 1.34935 + 2.45235i 0.0544109 + 0.0988884i
\(616\) 3.20900 9.01673i 0.129294 0.363295i
\(617\) −20.8367 12.0301i −0.838853 0.484312i 0.0180211 0.999838i \(-0.494263\pi\)
−0.856874 + 0.515525i \(0.827597\pi\)
\(618\) −17.1559 + 28.3509i −0.690111 + 1.14044i
\(619\) −11.1088 6.41367i −0.446500 0.257787i 0.259851 0.965649i \(-0.416327\pi\)
−0.706351 + 0.707862i \(0.749660\pi\)
\(620\) 2.06650 1.19310i 0.0829928 0.0479159i
\(621\) 33.0131 + 21.8823i 1.32477 + 0.878105i
\(622\) −13.3160 + 7.68799i −0.533923 + 0.308260i
\(623\) −13.4846 15.8390i −0.540251 0.634575i
\(624\) −4.81087 3.98190i −0.192589 0.159404i
\(625\) −10.2312 17.7209i −0.409247 0.708836i
\(626\) 13.6057 0.543795
\(627\) −17.7824 + 29.3863i −0.710162 + 1.17357i
\(628\) 10.9004i 0.434974i
\(629\) 30.2740 1.20710
\(630\) 0.617820 + 4.36774i 0.0246145 + 0.174015i
\(631\) 10.0431 17.3952i 0.399810 0.692491i −0.593892 0.804545i \(-0.702409\pi\)
0.993702 + 0.112053i \(0.0357428\pi\)
\(632\) −11.1072 + 6.41273i −0.441820 + 0.255085i
\(633\) −2.72294 0.0560524i −0.108227 0.00222788i
\(634\) 12.0325 0.477873
\(635\) −3.32578 + 5.76042i −0.131980 + 0.228595i
\(636\) 2.68146 + 1.62262i 0.106327 + 0.0643412i
\(637\) 24.0554 + 7.63801i 0.953108 + 0.302629i
\(638\) 23.5065i 0.930631i
\(639\) −1.41318 + 34.3106i −0.0559046 + 1.35730i
\(640\) 0.555761i 0.0219684i
\(641\) 34.0138 19.6379i 1.34347 0.775651i 0.356152 0.934428i \(-0.384089\pi\)
0.987314 + 0.158778i \(0.0507553\pi\)
\(642\) −2.86860 0.0590509i −0.113215 0.00233055i
\(643\) 12.0836 + 6.97645i 0.476529 + 0.275124i 0.718969 0.695042i \(-0.244614\pi\)
−0.242440 + 0.970166i \(0.577948\pi\)
\(644\) 18.9994 + 6.76178i 0.748682 + 0.266451i
\(645\) −0.174767 + 0.288811i −0.00688146 + 0.0113719i
\(646\) 21.3508 0.840037
\(647\) 4.16946 0.163918 0.0819591 0.996636i \(-0.473882\pi\)
0.0819591 + 0.996636i \(0.473882\pi\)
\(648\) 7.39776 + 5.12573i 0.290612 + 0.201358i
\(649\) −4.36784 + 2.52177i −0.171453 + 0.0989882i
\(650\) 10.5142 13.2491i 0.412402 0.519671i
\(651\) 3.15605 + 19.4208i 0.123695 + 0.761160i
\(652\) 11.8450 + 20.5161i 0.463885 + 0.803473i
\(653\) 25.1589 + 14.5255i 0.984545 + 0.568427i 0.903639 0.428295i \(-0.140885\pi\)
0.0809055 + 0.996722i \(0.474219\pi\)
\(654\) 0.688411 33.4420i 0.0269190 1.30769i
\(655\) 1.89552 3.28314i 0.0740641 0.128283i
\(656\) 2.90780 0.113530
\(657\) 1.14199 27.7263i 0.0445533 1.08171i
\(658\) 31.3213 + 11.1470i 1.22103 + 0.434557i
\(659\) 2.25922 + 1.30436i 0.0880069 + 0.0508108i 0.543358 0.839501i \(-0.317153\pi\)
−0.455351 + 0.890312i \(0.650486\pi\)
\(660\) −3.05081 + 1.67864i −0.118753 + 0.0653408i
\(661\) 11.1882i 0.435172i −0.976041 0.217586i \(-0.930182\pi\)
0.976041 0.217586i \(-0.0698183\pi\)
\(662\) −15.0463 8.68697i −0.584790 0.337629i
\(663\) 22.7990 8.47245i 0.885441 0.329043i
\(664\) 0.175313i 0.00680346i
\(665\) −1.45647 7.92813i −0.0564794 0.307440i
\(666\) −19.6983 12.4809i −0.763292 0.483626i
\(667\) −49.5312 −1.91786
\(668\) 5.41827 9.38472i 0.209639 0.363106i
\(669\) −0.0282576 + 1.37271i −0.00109250 + 0.0530721i
\(670\) 4.38617i 0.169453i
\(671\) −2.09596 −0.0809136
\(672\) 4.28477 + 1.62503i 0.165289 + 0.0626870i
\(673\) −3.63204 6.29087i −0.140005 0.242495i 0.787493 0.616323i \(-0.211378\pi\)
−0.927498 + 0.373828i \(0.878045\pi\)
\(674\) −10.3222 5.95954i −0.397597 0.229553i
\(675\) −13.4673 + 20.3178i −0.518358 + 0.782031i
\(676\) 12.4406 + 3.77258i 0.478483 + 0.145099i
\(677\) −13.7448 23.8066i −0.528254 0.914962i −0.999457 0.0329380i \(-0.989514\pi\)
0.471204 0.882024i \(-0.343820\pi\)
\(678\) −2.93869 0.0604936i −0.112860 0.00232324i
\(679\) −6.42102 + 5.46658i −0.246416 + 0.209788i
\(680\) 1.87453 + 1.08226i 0.0718850 + 0.0415028i
\(681\) −21.0239 0.432783i −0.805639 0.0165843i
\(682\) −13.4507 + 7.76576i −0.515054 + 0.297366i
\(683\) −22.6569 + 13.0810i −0.866944 + 0.500530i −0.866331 0.499470i \(-0.833528\pi\)
−0.000612290 1.00000i \(0.500195\pi\)
\(684\) −13.8922 8.80219i −0.531183 0.336560i
\(685\) −3.29953 1.90498i −0.126068 0.0727857i
\(686\) −18.5160 + 0.397237i −0.706944 + 0.0151666i
\(687\) −0.602959 + 29.2908i −0.0230043 + 1.11752i
\(688\) 0.175343 + 0.303703i 0.00668489 + 0.0115786i
\(689\) −6.45376 0.957028i −0.245869 0.0364598i
\(690\) −3.53710 6.42846i −0.134655 0.244727i
\(691\) −32.3970 18.7044i −1.23244 0.711550i −0.264903 0.964275i \(-0.585340\pi\)
−0.967538 + 0.252725i \(0.918673\pi\)
\(692\) −4.81776 8.34460i −0.183144 0.317214i
\(693\) −4.02133 28.4292i −0.152758 1.07994i
\(694\) 17.1137 0.649626
\(695\) 0.614921i 0.0233253i
\(696\) −11.2528 0.231641i −0.426536 0.00878034i
\(697\) −5.66249 + 9.80773i −0.214482 + 0.371494i
\(698\) 0.763095 0.0288836
\(699\) −0.412033 + 20.0159i −0.0155845 + 0.757073i
\(700\) −4.16150 + 11.6931i −0.157290 + 0.441958i
\(701\) 16.0516i 0.606262i −0.952949 0.303131i \(-0.901968\pi\)
0.952949 0.303131i \(-0.0980320\pi\)
\(702\) −18.3274 3.88651i −0.691725 0.146687i
\(703\) 36.9035 + 21.3062i 1.39184 + 0.803580i
\(704\) 3.61740i 0.136336i
\(705\) −5.83105 10.5976i −0.219610 0.399127i
\(706\) −7.89612 4.55883i −0.297174 0.171574i
\(707\) −13.7315 + 38.5831i −0.516426 + 1.45107i
\(708\) −1.16415 2.11577i −0.0437516 0.0795157i
\(709\) −0.916642 −0.0344252 −0.0172126 0.999852i \(-0.505479\pi\)
−0.0172126 + 0.999852i \(0.505479\pi\)
\(710\) 3.18078 5.50926i 0.119372 0.206759i
\(711\) −20.5932 + 32.5016i −0.772305 + 1.21891i
\(712\) 6.80894 + 3.93114i 0.255176 + 0.147326i
\(713\) −16.3635 28.3423i −0.612816 1.06143i
\(714\) −13.8250 + 11.2876i −0.517389 + 0.422429i
\(715\) 4.50594 5.67797i 0.168513 0.212344i
\(716\) 16.2572 9.38612i 0.607561 0.350776i
\(717\) −42.9046 25.9628i −1.60230 0.969598i
\(718\) 9.86094 0.368007
\(719\) 34.1378 1.27313 0.636563 0.771225i \(-0.280355\pi\)
0.636563 + 0.771225i \(0.280355\pi\)
\(720\) −0.773515 1.47699i −0.0288272 0.0550443i
\(721\) 9.14600 + 49.7853i 0.340615 + 1.85410i
\(722\) 9.57178 + 5.52627i 0.356225 + 0.205667i
\(723\) 0.223213 10.8433i 0.00830137 0.403268i
\(724\) −1.55224 + 0.896185i −0.0576885 + 0.0333064i
\(725\) 30.4838i 1.13214i
\(726\) 3.16491 1.74141i 0.117461 0.0646299i
\(727\) 10.1792i 0.377524i −0.982023 0.188762i \(-0.939553\pi\)
0.982023 0.188762i \(-0.0604475\pi\)
\(728\) −9.53373 + 0.328719i −0.353343 + 0.0121831i
\(729\) 26.7944 + 3.32587i 0.992384 + 0.123180i
\(730\) −2.57038 + 4.45203i −0.0951341 + 0.164777i
\(731\) −1.36582 −0.0505166
\(732\) 0.0206543 1.00336i 0.000763405 0.0370851i
\(733\) −26.5104 + 15.3058i −0.979184 + 0.565332i −0.902024 0.431686i \(-0.857919\pi\)
−0.0771605 + 0.997019i \(0.524585\pi\)
\(734\) 11.3222 19.6107i 0.417912 0.723844i
\(735\) 5.13449 + 4.36360i 0.189388 + 0.160954i
\(736\) −7.62233 −0.280963
\(737\) 28.5492i 1.05162i
\(738\) 7.72777 4.04710i 0.284463 0.148976i
\(739\) −11.7820 −0.433406 −0.216703 0.976238i \(-0.569530\pi\)
−0.216703 + 0.976238i \(0.569530\pi\)
\(740\) 2.16000 + 3.74124i 0.0794033 + 0.137531i
\(741\) 33.7544 + 5.71773i 1.24000 + 0.210046i
\(742\) 4.70875 0.865039i 0.172864 0.0317566i
\(743\) 4.29201 2.47799i 0.157459 0.0909088i −0.419200 0.907894i \(-0.637689\pi\)
0.576659 + 0.816985i \(0.304356\pi\)
\(744\) −3.58499 6.51550i −0.131432 0.238870i
\(745\) 0.243635 0.140662i 0.00892608 0.00515347i
\(746\) 2.29852 + 1.32705i 0.0841548 + 0.0485868i
\(747\) 0.244002 + 0.465912i 0.00892758 + 0.0170468i
\(748\) −12.2012 7.04434i −0.446119 0.257567i
\(749\) −3.33718 + 2.84114i −0.121938 + 0.103813i
\(750\) 8.17322 4.49711i 0.298444 0.164211i
\(751\) −5.08516 + 8.80775i −0.185560 + 0.321399i −0.943765 0.330617i \(-0.892743\pi\)
0.758205 + 0.652016i \(0.226077\pi\)
\(752\) −12.5657 −0.458224
\(753\) 7.53878 + 13.7013i 0.274729 + 0.499302i
\(754\) 21.7894 8.61169i 0.793525 0.313619i
\(755\) −11.8497 −0.431254
\(756\) 13.6490 1.64490i 0.496408 0.0598244i
\(757\) 22.3721 + 38.7497i 0.813129 + 1.40838i 0.910664 + 0.413148i \(0.135571\pi\)
−0.0975349 + 0.995232i \(0.531096\pi\)
\(758\) 9.82827i 0.356979i
\(759\) 23.0227 + 41.8422i 0.835670 + 1.51878i
\(760\) 1.52335 + 2.63852i 0.0552576 + 0.0957090i
\(761\) 14.3187 0.519053 0.259526 0.965736i \(-0.416434\pi\)
0.259526 + 0.965736i \(0.416434\pi\)
\(762\) 17.7354 + 10.7322i 0.642487 + 0.388787i
\(763\) −33.1218 38.9047i −1.19909 1.40844i
\(764\) 0.263194 0.151955i 0.00952204 0.00549755i
\(765\) 6.48807 + 0.267230i 0.234577 + 0.00966173i
\(766\) 31.3875 + 18.1216i 1.13408 + 0.654760i
\(767\) 3.93774 + 3.12492i 0.142184 + 0.112834i
\(768\) −1.73168 0.0356471i −0.0624868 0.00128631i
\(769\) −8.87410 + 5.12346i −0.320008 + 0.184757i −0.651396 0.758738i \(-0.725816\pi\)
0.331388 + 0.943495i \(0.392483\pi\)
\(770\) −1.78344 + 5.01115i −0.0642706 + 0.180589i
\(771\) 15.3176 + 27.8387i 0.551649 + 1.00259i
\(772\) 5.87051 + 10.1680i 0.211284 + 0.365955i
\(773\) −25.9345 44.9198i −0.932798 1.61565i −0.778515 0.627626i \(-0.784027\pi\)
−0.154283 0.988027i \(-0.549307\pi\)
\(774\) 0.888690 + 0.563079i 0.0319433 + 0.0202394i
\(775\) 17.4432 10.0708i 0.626577 0.361754i