Properties

Label 546.2.bb.a.269.7
Level $546$
Weight $2$
Character 546.269
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.bb (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 269.7
Character \(\chi\) \(=\) 546.269
Dual form 546.2.bb.a.341.26

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-0.834971 + 1.51751i) q^{3} -1.00000 q^{4} +(0.277881 + 0.481304i) q^{5} +(1.51751 + 0.834971i) q^{6} +(-1.71510 - 2.01455i) q^{7} +1.00000i q^{8} +(-1.60565 - 2.53415i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-0.834971 + 1.51751i) q^{3} -1.00000 q^{4} +(0.277881 + 0.481304i) q^{5} +(1.51751 + 0.834971i) q^{6} +(-1.71510 - 2.01455i) q^{7} +1.00000i q^{8} +(-1.60565 - 2.53415i) q^{9} +(0.481304 - 0.277881i) q^{10} +(3.13276 - 1.80870i) q^{11} +(0.834971 - 1.51751i) q^{12} +(3.35317 + 1.32525i) q^{13} +(-2.01455 + 1.71510i) q^{14} +(-0.962403 + 0.0198113i) q^{15} +1.00000 q^{16} -3.89470 q^{17} +(-2.53415 + 1.60565i) q^{18} +(4.74757 + 2.74101i) q^{19} +(-0.277881 - 0.481304i) q^{20} +(4.48916 - 0.920589i) q^{21} +(-1.80870 - 3.13276i) q^{22} -7.62233i q^{23} +(-1.51751 - 0.834971i) q^{24} +(2.34556 - 4.06264i) q^{25} +(1.32525 - 3.35317i) q^{26} +(5.18625 - 0.320643i) q^{27} +(1.71510 + 2.01455i) q^{28} +(5.62758 + 3.24909i) q^{29} +(0.0198113 + 0.962403i) q^{30} +(3.71833 + 2.14678i) q^{31} -1.00000i q^{32} +(0.128950 + 6.26420i) q^{33} +3.89470i q^{34} +(0.493016 - 1.38529i) q^{35} +(1.60565 + 2.53415i) q^{36} +7.77313 q^{37} +(2.74101 - 4.74757i) q^{38} +(-4.81087 + 3.98190i) q^{39} +(-0.481304 + 0.277881i) q^{40} +(1.45390 - 2.51823i) q^{41} +(-0.920589 - 4.48916i) q^{42} +(0.175343 + 0.303703i) q^{43} +(-3.13276 + 1.80870i) q^{44} +(0.773515 - 1.47699i) q^{45} -7.62233 q^{46} +(-6.28286 - 10.8822i) q^{47} +(-0.834971 + 1.51751i) q^{48} +(-1.11684 + 6.91033i) q^{49} +(-4.06264 - 2.34556i) q^{50} +(3.25196 - 5.91023i) q^{51} +(-3.35317 - 1.32525i) q^{52} +(-1.56709 - 0.904762i) q^{53} +(-0.320643 - 5.18625i) q^{54} +(1.74107 + 1.00521i) q^{55} +(2.01455 - 1.71510i) q^{56} +(-8.12358 + 4.91580i) q^{57} +(3.24909 - 5.62758i) q^{58} -1.39424 q^{59} +(0.962403 - 0.0198113i) q^{60} +(0.501784 + 0.289705i) q^{61} +(2.14678 - 3.71833i) q^{62} +(-2.35131 + 7.58098i) q^{63} -1.00000 q^{64} +(0.293933 + 1.98215i) q^{65} +(6.26420 - 0.128950i) q^{66} +(-3.94609 - 6.83483i) q^{67} +3.89470 q^{68} +(11.5669 + 6.36442i) q^{69} +(-1.38529 - 0.493016i) q^{70} +(-9.91300 + 5.72327i) q^{71} +(2.53415 - 1.60565i) q^{72} +(8.01069 + 4.62497i) q^{73} -7.77313i q^{74} +(4.20660 + 6.95159i) 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} +(0.277881 + 0.481304i) q^{80} +(-3.84379 + 8.13789i) q^{81} +(-2.51823 - 1.45390i) q^{82} +0.175313 q^{83} +(-4.48916 + 0.920589i) q^{84} +(-1.08226 - 1.87453i) q^{85} +(0.303703 - 0.175343i) q^{86} +(-9.62937 + 5.82700i) q^{87} +(1.80870 + 3.13276i) q^{88} -7.86229 q^{89} +(-1.47699 - 0.773515i) q^{90} +(-3.08125 - 9.02806i) q^{91} +7.62233i q^{92} +(-6.36245 + 3.85009i) q^{93} +(-10.8822 + 6.28286i) q^{94} +3.04670i q^{95} +(1.51751 + 0.834971i) q^{96} +(-2.76030 + 1.59366i) q^{97} +(6.91033 + 1.11684i) q^{98} +(-9.61363 - 5.03474i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q - 76 q^{4} + 10 q^{7} + 4 q^{9} + O(q^{10}) \) \( 76 q - 76 q^{4} + 10 q^{7} + 4 q^{9} - 2 q^{13} + 12 q^{15} + 76 q^{16} + 18 q^{19} - 8 q^{21} - 42 q^{25} - 10 q^{28} - 10 q^{30} + 12 q^{31} + 72 q^{33} - 4 q^{36} + 12 q^{37} - 42 q^{39} + 2 q^{42} - 2 q^{43} + 8 q^{46} - 10 q^{49} + 10 q^{51} + 2 q^{52} - 24 q^{55} + 8 q^{57} - 8 q^{58} - 12 q^{60} + 78 q^{61} + 2 q^{63} - 76 q^{64} - 24 q^{66} - 48 q^{67} + 30 q^{69} - 54 q^{73} - 18 q^{76} - 12 q^{78} - 60 q^{79} - 4 q^{81} - 24 q^{82} + 8 q^{84} + 8 q^{85} - 8 q^{91} - 32 q^{93} - 24 q^{94} + 66 q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −0.834971 + 1.51751i −0.482071 + 0.876132i
\(4\) −1.00000 −0.500000
\(5\) 0.277881 + 0.481304i 0.124272 + 0.215245i 0.921448 0.388501i \(-0.127007\pi\)
−0.797176 + 0.603747i \(0.793674\pi\)
\(6\) 1.51751 + 0.834971i 0.619519 + 0.340875i
\(7\) −1.71510 2.01455i −0.648248 0.761429i
\(8\) 1.00000i 0.353553i
\(9\) −1.60565 2.53415i −0.535216 0.844715i
\(10\) 0.481304 0.277881i 0.152202 0.0878736i
\(11\) 3.13276 1.80870i 0.944563 0.545344i 0.0531754 0.998585i \(-0.483066\pi\)
0.891388 + 0.453241i \(0.149732\pi\)
\(12\) 0.834971 1.51751i 0.241035 0.438066i
\(13\) 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
\(16\) 1.00000 0.250000
\(17\) −3.89470 −0.944603 −0.472302 0.881437i \(-0.656577\pi\)
−0.472302 + 0.881437i \(0.656577\pi\)
\(18\) −2.53415 + 1.60565i −0.597304 + 0.378455i
\(19\) 4.74757 + 2.74101i 1.08917 + 0.628831i 0.933355 0.358956i \(-0.116867\pi\)
0.155812 + 0.987787i \(0.450200\pi\)
\(20\) −0.277881 0.481304i −0.0621360 0.107623i
\(21\) 4.48916 0.920589i 0.979614 0.200889i
\(22\) −1.80870 3.13276i −0.385616 0.667907i
\(23\) 7.62233i 1.58937i −0.607025 0.794683i \(-0.707637\pi\)
0.607025 0.794683i \(-0.292363\pi\)
\(24\) −1.51751 0.834971i −0.309760 0.170438i
\(25\) 2.34556 4.06264i 0.469113 0.812527i
\(26\) 1.32525 3.35317i 0.259903 0.657610i
\(27\) 5.18625 0.320643i 0.998094 0.0617078i
\(28\) 1.71510 + 2.01455i 0.324124 + 0.380714i
\(29\) 5.62758 + 3.24909i 1.04502 + 0.603340i 0.921250 0.388971i \(-0.127169\pi\)
0.123766 + 0.992311i \(0.460503\pi\)
\(30\) 0.0198113 + 0.962403i 0.00361703 + 0.175710i
\(31\) 3.71833 + 2.14678i 0.667832 + 0.385573i 0.795255 0.606276i \(-0.207337\pi\)
−0.127423 + 0.991848i \(0.540671\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 0.128950 + 6.26420i 0.0224473 + 1.09046i
\(34\) 3.89470i 0.667935i
\(35\) 0.493016 1.38529i 0.0833350 0.234157i
\(36\) 1.60565 + 2.53415i 0.267608 + 0.422358i
\(37\) 7.77313 1.27790 0.638948 0.769250i \(-0.279370\pi\)
0.638948 + 0.769250i \(0.279370\pi\)
\(38\) 2.74101 4.74757i 0.444651 0.770157i
\(39\) −4.81087 + 3.98190i −0.770355 + 0.637615i
\(40\) −0.481304 + 0.277881i −0.0761008 + 0.0439368i
\(41\) 1.45390 2.51823i 0.227061 0.393281i −0.729875 0.683581i \(-0.760422\pi\)
0.956936 + 0.290300i \(0.0937551\pi\)
\(42\) −0.920589 4.48916i −0.142050 0.692692i
\(43\) 0.175343 + 0.303703i 0.0267396 + 0.0463143i 0.879086 0.476664i \(-0.158154\pi\)
−0.852346 + 0.522978i \(0.824821\pi\)
\(44\) −3.13276 + 1.80870i −0.472282 + 0.272672i
\(45\) 0.773515 1.47699i 0.115309 0.220177i
\(46\) −7.62233 −1.12385
\(47\) −6.28286 10.8822i −0.916449 1.58734i −0.804766 0.593592i \(-0.797709\pi\)
−0.111682 0.993744i \(-0.535624\pi\)
\(48\) −0.834971 + 1.51751i −0.120518 + 0.219033i
\(49\) −1.11684 + 6.91033i −0.159548 + 0.987190i
\(50\) −4.06264 2.34556i −0.574544 0.331713i
\(51\) 3.25196 5.91023i 0.455365 0.827597i
\(52\) −3.35317 1.32525i −0.465000 0.183779i
\(53\) −1.56709 0.904762i −0.215257 0.124279i 0.388495 0.921451i \(-0.372995\pi\)
−0.603752 + 0.797172i \(0.706328\pi\)
\(54\) −0.320643 5.18625i −0.0436340 0.705759i
\(55\) 1.74107 + 1.00521i 0.234766 + 0.135542i
\(56\) 2.01455 1.71510i 0.269206 0.229190i
\(57\) −8.12358 + 4.91580i −1.07599 + 0.651114i
\(58\) 3.24909 5.62758i 0.426626 0.738938i
\(59\) −1.39424 −0.181515 −0.0907576 0.995873i \(-0.528929\pi\)
−0.0907576 + 0.995873i \(0.528929\pi\)
\(60\) 0.962403 0.0198113i 0.124246 0.00255763i
\(61\) 0.501784 + 0.289705i 0.0642469 + 0.0370929i 0.531779 0.846883i \(-0.321524\pi\)
−0.467532 + 0.883976i \(0.654857\pi\)
\(62\) 2.14678 3.71833i 0.272641 0.472228i
\(63\) −2.35131 + 7.58098i −0.296238 + 0.955114i
\(64\) −1.00000 −0.125000
\(65\) 0.293933 + 1.98215i 0.0364579 + 0.245856i
\(66\) 6.26420 0.128950i 0.771069 0.0158726i
\(67\) −3.94609 6.83483i −0.482092 0.835007i 0.517697 0.855564i \(-0.326789\pi\)
−0.999789 + 0.0205567i \(0.993456\pi\)
\(68\) 3.89470 0.472302
\(69\) 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 −0.955192 0.295986i \(-0.904352\pi\)
−0.221265 + 0.975214i \(0.571018\pi\)
\(72\) 2.53415 1.60565i 0.298652 0.189227i
\(73\) 8.01069 + 4.62497i 0.937580 + 0.541312i 0.889201 0.457517i \(-0.151261\pi\)
0.0483794 + 0.998829i \(0.484594\pi\)
\(74\) 7.77313i 0.903609i
\(75\) 4.20660 + 6.95159i 0.485736 + 0.802701i
\(76\) −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 \(-0.423209\pi\)
\(80\) 0.277881 + 0.481304i 0.0310680 + 0.0538114i
\(81\) −3.84379 + 8.13789i −0.427088 + 0.904210i
\(82\) −2.51823 1.45390i −0.278091 0.160556i
\(83\) 0.175313 0.0192431 0.00962155 0.999954i \(-0.496937\pi\)
0.00962155 + 0.999954i \(0.496937\pi\)
\(84\) −4.48916 + 0.920589i −0.489807 + 0.100445i
\(85\) −1.08226 1.87453i −0.117388 0.203322i
\(86\) 0.303703 0.175343i 0.0327492 0.0189077i
\(87\) −9.62937 + 5.82700i −1.03238 + 0.624720i
\(88\) 1.80870 + 3.13276i 0.192808 + 0.333954i
\(89\) −7.86229 −0.833401 −0.416700 0.909044i \(-0.636814\pi\)
−0.416700 + 0.909044i \(0.636814\pi\)
\(90\) −1.47699 0.773515i −0.155689 0.0815356i
\(91\) −3.08125 9.02806i −0.323002 0.946398i
\(92\) 7.62233i 0.794683i
\(93\) −6.36245 + 3.85009i −0.659755 + 0.399236i
\(94\) −10.8822 + 6.28286i −1.12242 + 0.648027i
\(95\) 3.04670i 0.312584i
\(96\) 1.51751 + 0.834971i 0.154880 + 0.0852188i
\(97\) −2.76030 + 1.59366i −0.280266 + 0.161812i −0.633544 0.773707i \(-0.718400\pi\)
0.353278 + 0.935518i \(0.385067\pi\)
\(98\) 6.91033 + 1.11684i 0.698049 + 0.112817i
\(99\) −9.61363 5.03474i −0.966206 0.506010i
\(100\) −2.34556 + 4.06264i −0.234556 + 0.406264i
\(101\) 7.73954 + 13.4053i 0.770113 + 1.33387i 0.937501 + 0.347983i \(0.113133\pi\)
−0.167388 + 0.985891i \(0.553533\pi\)
\(102\) −5.91023 3.25196i −0.585200 0.321992i
\(103\) 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
\(105\) 1.69053 + 1.90483i 0.164979 + 0.185893i
\(106\) −0.904762 + 1.56709i −0.0878782 + 0.152210i
\(107\) 1.65654i 0.160144i 0.996789 + 0.0800719i \(0.0255150\pi\)
−0.996789 + 0.0800719i \(0.974485\pi\)
\(108\) −5.18625 + 0.320643i −0.499047 + 0.0308539i
\(109\) −9.65592 + 16.7245i −0.924869 + 1.60192i −0.133097 + 0.991103i \(0.542492\pi\)
−0.791772 + 0.610817i \(0.790841\pi\)
\(110\) 1.00521 1.74107i 0.0958427 0.166004i
\(111\) −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 −0.429278 0.903172i \(-0.641232\pi\)
0.567531 + 0.823352i \(0.307899\pi\)
\(114\) 4.91580 + 8.12358i 0.460407 + 0.760843i
\(115\) 3.66865 2.11810i 0.342104 0.197514i
\(116\) −5.62758 3.24909i −0.522508 0.301670i
\(117\) −2.02563 10.6253i −0.187270 0.982309i
\(118\) 1.39424i 0.128351i
\(119\) 6.67981 + 7.84607i 0.612337 + 0.719248i
\(120\) −0.0198113 0.962403i −0.00180852 0.0878550i
\(121\) 1.04280 1.80618i 0.0947999 0.164198i
\(122\) 0.289705 0.501784i 0.0262287 0.0454294i
\(123\) 2.60746 + 4.30894i 0.235107 + 0.388524i
\(124\) −3.71833 2.14678i −0.333916 0.192786i
\(125\) 5.38596 0.481735
\(126\) 7.58098 + 2.35131i 0.675368 + 0.209472i
\(127\) −5.98419 + 10.3649i −0.531011 + 0.919738i 0.468334 + 0.883551i \(0.344854\pi\)
−0.999345 + 0.0361862i \(0.988479\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −0.607278 + 0.0125010i −0.0534678 + 0.00110065i
\(130\) 1.98215 0.293933i 0.173846 0.0257796i
\(131\) −3.41067 5.90746i −0.297992 0.516137i 0.677684 0.735353i \(-0.262984\pi\)
−0.975676 + 0.219216i \(0.929650\pi\)
\(132\) −0.128950 6.26420i −0.0112237 0.545228i
\(133\) −2.62067 14.2653i −0.227241 1.23696i
\(134\) −6.83483 + 3.94609i −0.590439 + 0.340890i
\(135\) 1.59549 + 2.40706i 0.137318 + 0.207167i
\(136\) 3.89470i 0.333968i
\(137\) 6.85540i 0.585696i −0.956159 0.292848i \(-0.905397\pi\)
0.956159 0.292848i \(-0.0946030\pi\)
\(138\) 6.36442 11.5669i 0.541776 0.984643i
\(139\) −0.958211 + 0.553223i −0.0812744 + 0.0469238i −0.540086 0.841610i \(-0.681608\pi\)
0.458812 + 0.888533i \(0.348275\pi\)
\(140\) −0.493016 + 1.38529i −0.0416675 + 0.117078i
\(141\) 21.7598 0.447932i 1.83251 0.0377226i
\(142\) 5.72327 + 9.91300i 0.480287 + 0.831881i
\(143\) 12.9016 1.91319i 1.07889 0.159989i
\(144\) −1.60565 2.53415i −0.133804 0.211179i
\(145\) 3.61143i 0.299913i
\(146\) 4.62497 8.01069i 0.382766 0.662969i
\(147\) −9.55394 7.46473i −0.787996 0.615680i
\(148\) −7.77313 −0.638948
\(149\) 0.438380 + 0.253099i 0.0359135 + 0.0207346i 0.517849 0.855472i \(-0.326733\pi\)
−0.481936 + 0.876207i \(0.660066\pi\)
\(150\) 6.95159 4.20660i 0.567595 0.343467i
\(151\) 10.6608 18.4650i 0.867561 1.50266i 0.00307963 0.999995i \(-0.499020\pi\)
0.864481 0.502665i \(-0.167647\pi\)
\(152\) −2.74101 + 4.74757i −0.222325 + 0.385079i
\(153\) 6.25351 + 9.86973i 0.505567 + 0.797921i
\(154\) −3.20900 + 9.01673i −0.258589 + 0.726589i
\(155\) 2.38619i 0.191664i
\(156\) 4.81087 3.98190i 0.385178 0.318807i
\(157\) 9.44004 + 5.45021i 0.753397 + 0.434974i 0.826920 0.562319i \(-0.190091\pi\)
−0.0735227 + 0.997294i \(0.523424\pi\)
\(158\) −11.1072 + 6.41273i −0.883640 + 0.510170i
\(159\) 2.68146 1.62262i 0.212653 0.128682i
\(160\) 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
\(163\) −11.8450 + 20.5161i −0.927770 + 1.60695i −0.140726 + 0.990049i \(0.544944\pi\)
−0.787044 + 0.616897i \(0.788390\pi\)
\(164\) −1.45390 + 2.51823i −0.113530 + 0.196640i
\(165\) −2.97915 + 1.80276i −0.231926 + 0.140345i
\(166\) 0.175313i 0.0136069i
\(167\) 5.41827 9.38472i 0.419278 0.726211i −0.576589 0.817034i \(-0.695617\pi\)
0.995867 + 0.0908233i \(0.0289499\pi\)
\(168\) 0.920589 + 4.48916i 0.0710250 + 0.346346i
\(169\) 9.48743 + 8.88755i 0.729803 + 0.683658i
\(170\) −1.87453 + 1.08226i −0.143770 + 0.0830057i
\(171\) −0.676805 16.4321i −0.0517566 1.25660i
\(172\) −0.175343 0.303703i −0.0133698 0.0231571i
\(173\) −4.81776 + 8.34460i −0.366287 + 0.634428i −0.988982 0.148037i \(-0.952705\pi\)
0.622694 + 0.782465i \(0.286038\pi\)
\(174\) 5.82700 + 9.62937i 0.441744 + 0.730001i
\(175\) −12.2073 + 2.24259i −0.922784 + 0.169524i
\(176\) 3.13276 1.80870i 0.236141 0.136336i
\(177\) 1.16415 2.11577i 0.0875031 0.159031i
\(178\) 7.86229i 0.589303i
\(179\) 16.2572 9.38612i 1.21512 0.701552i 0.251252 0.967922i \(-0.419158\pi\)
0.963871 + 0.266370i \(0.0858244\pi\)
\(180\) −0.773515 + 1.47699i −0.0576544 + 0.110089i
\(181\) 1.79237i 0.133226i 0.997779 + 0.0666129i \(0.0212193\pi\)
−0.997779 + 0.0666129i \(0.978781\pi\)
\(182\) −9.02806 + 3.08125i −0.669205 + 0.228397i
\(183\) −0.858604 + 0.519565i −0.0634698 + 0.0384073i
\(184\) 7.62233 0.561926
\(185\) 2.16000 + 3.74124i 0.158807 + 0.275061i
\(186\) 3.85009 + 6.36245i 0.282302 + 0.466517i
\(187\) −12.2012 + 7.04434i −0.892237 + 0.515134i
\(188\) 6.28286 + 10.8822i 0.458224 + 0.793668i
\(189\) −9.54091 9.89803i −0.693999 0.719976i
\(190\) 3.04670 0.221031
\(191\) −0.263194 0.151955i −0.0190441 0.0109951i 0.490448 0.871471i \(-0.336833\pi\)
−0.509492 + 0.860476i \(0.670167\pi\)
\(192\) 0.834971 1.51751i 0.0602588 0.109517i
\(193\) −5.87051 10.1680i −0.422568 0.731910i 0.573622 0.819120i \(-0.305538\pi\)
−0.996190 + 0.0872106i \(0.972205\pi\)
\(194\) 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 −0.0257931 0.999667i \(-0.508211\pi\)
−0.878634 + 0.477496i \(0.841544\pi\)
\(198\) −5.03474 + 9.61363i −0.357803 + 0.683211i
\(199\) 13.4801i 0.955579i −0.878474 0.477790i \(-0.841438\pi\)
0.878474 0.477790i \(-0.158562\pi\)
\(200\) 4.06264 + 2.34556i 0.287272 + 0.165856i
\(201\) 13.6668 0.281334i 0.963979 0.0198437i
\(202\) 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
\(205\) 1.61604 0.112869
\(206\) −9.56598 16.5688i −0.666493 1.15440i
\(207\) −19.3161 + 12.2388i −1.34256 + 0.850654i
\(208\) 3.35317 + 1.32525i 0.232500 + 0.0918894i
\(209\) 19.8307 1.37172
\(210\) 1.90483 1.69053i 0.131446 0.116658i
\(211\) −0.786213 + 1.36176i −0.0541251 + 0.0937474i −0.891819 0.452393i \(-0.850570\pi\)
0.837693 + 0.546141i \(0.183904\pi\)
\(212\) 1.56709 + 0.904762i 0.107628 + 0.0621393i
\(213\) −0.408037 19.8218i −0.0279582 1.35817i
\(214\) 1.65654 0.113239
\(215\) −0.0974489 + 0.168786i −0.00664596 + 0.0115111i
\(216\) 0.320643 + 5.18625i 0.0218170 + 0.352880i
\(217\) −2.05253 11.1727i −0.139335 0.758453i
\(218\) 16.7245 + 9.65592i 1.13273 + 0.653981i
\(219\) −13.7071 + 8.29455i −0.926241 + 0.560494i
\(220\) −1.74107 1.00521i −0.117383 0.0677710i
\(221\) −13.0596 5.16144i −0.878482 0.347196i
\(222\) 11.7958 + 6.49034i 0.791681 + 0.435603i
\(223\) 0.686501 + 0.396352i 0.0459715 + 0.0265417i 0.522810 0.852449i \(-0.324884\pi\)
−0.476838 + 0.878991i \(0.658217\pi\)
\(224\) −2.01455 + 1.71510i −0.134603 + 0.114595i
\(225\) −14.0615 + 0.579163i −0.937431 + 0.0386108i
\(226\) −0.848506 1.46966i −0.0564418 0.0977600i
\(227\) −12.1407 −0.805809 −0.402905 0.915242i \(-0.631999\pi\)
−0.402905 + 0.915242i \(0.631999\pi\)
\(228\) 8.12358 4.91580i 0.537997 0.325557i
\(229\) −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
\(231\) 12.3984 11.0035i 0.815754 0.723979i
\(232\) −3.24909 + 5.62758i −0.213313 + 0.369469i
\(233\) 10.0101 5.77933i 0.655783 0.378617i −0.134885 0.990861i \(-0.543067\pi\)
0.790668 + 0.612245i \(0.209733\pi\)
\(234\) −10.6253 + 2.02563i −0.694597 + 0.132420i
\(235\) 3.49177 6.04792i 0.227778 0.394523i
\(236\) 1.39424 0.0907576
\(237\) 22.2097 0.457191i 1.44267 0.0296978i
\(238\) 7.84607 6.67981i 0.508585 0.432988i
\(239\) 28.9533i 1.87283i 0.350893 + 0.936415i \(0.385878\pi\)
−0.350893 + 0.936415i \(0.614122\pi\)
\(240\) −0.962403 + 0.0198113i −0.0621229 + 0.00127881i
\(241\) 6.26173i 0.403354i 0.979452 + 0.201677i \(0.0646391\pi\)
−0.979452 + 0.201677i \(0.935361\pi\)
\(242\) −1.80618 1.04280i −0.116106 0.0670336i
\(243\) −9.13985 12.6279i −0.586322 0.810078i
\(244\) −0.501784 0.289705i −0.0321234 0.0185465i
\(245\) −3.63631 + 1.38271i −0.232316 + 0.0883382i
\(246\) 4.30894 2.60746i 0.274728 0.166246i
\(247\) 12.2869 + 15.4828i 0.781794 + 0.985145i
\(248\) −2.14678 + 3.71833i −0.136321 + 0.236114i
\(249\) −0.146381 + 0.266038i −0.00927653 + 0.0168595i
\(250\) 5.38596i 0.340638i
\(251\) 4.51440 + 7.81917i 0.284946 + 0.493542i 0.972596 0.232501i \(-0.0746909\pi\)
−0.687650 + 0.726043i \(0.741358\pi\)
\(252\) 2.35131 7.58098i 0.148119 0.477557i
\(253\) −13.7865 23.8790i −0.866751 1.50126i
\(254\) 10.3649 + 5.98419i 0.650353 + 0.375481i
\(255\) 3.74827 0.0771590i 0.234726 0.00483189i
\(256\) 1.00000 0.0625000
\(257\) −18.3451 −1.14433 −0.572166 0.820138i \(-0.693897\pi\)
−0.572166 + 0.820138i \(0.693897\pi\)
\(258\) 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
\(261\) −0.802259 19.4780i −0.0496586 1.20566i
\(262\) −5.90746 + 3.41067i −0.364964 + 0.210712i
\(263\) 17.7091 10.2243i 1.09199 0.630459i 0.157883 0.987458i \(-0.449533\pi\)
0.934105 + 0.356999i \(0.116200\pi\)
\(264\) −6.26420 + 0.128950i −0.385535 + 0.00793632i
\(265\) 1.00566i 0.0617774i
\(266\) −14.2653 + 2.62067i −0.874664 + 0.160684i
\(267\) 6.56478 11.9311i 0.401758 0.730169i
\(268\) 3.94609 + 6.83483i 0.241046 + 0.417504i
\(269\) 27.1480 1.65525 0.827623 0.561285i \(-0.189693\pi\)
0.827623 + 0.561285i \(0.189693\pi\)
\(270\) 2.40706 1.59549i 0.146489 0.0970981i
\(271\) 10.6671i 0.647980i 0.946060 + 0.323990i \(0.105024\pi\)
−0.946060 + 0.323990i \(0.894976\pi\)
\(272\) −3.89470 −0.236151
\(273\) 16.2729 + 2.86236i 0.984880 + 0.173238i
\(274\) −6.85540 −0.414150
\(275\) 16.9697i 1.02331i
\(276\) −11.5669 6.36442i −0.696248 0.383093i
\(277\) 19.0401 1.14401 0.572004 0.820251i \(-0.306166\pi\)
0.572004 + 0.820251i \(0.306166\pi\)
\(278\) 0.553223 + 0.958211i 0.0331801 + 0.0574697i
\(279\) −0.530079 12.8698i −0.0317350 0.770492i
\(280\) 1.38529 + 0.493016i 0.0827870 + 0.0294634i
\(281\) 3.32671i 0.198455i −0.995065 0.0992275i \(-0.968363\pi\)
0.995065 0.0992275i \(-0.0316372\pi\)
\(282\) −0.447932 21.7598i −0.0266739 1.29578i
\(283\) −16.1330 + 9.31437i −0.959005 + 0.553682i −0.895867 0.444323i \(-0.853444\pi\)
−0.0631381 + 0.998005i \(0.520111\pi\)
\(284\) 9.91300 5.72327i 0.588229 0.339614i
\(285\) −4.62338 2.54390i −0.273865 0.150688i
\(286\) −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
\(289\) −1.83133 −0.107725
\(290\) 3.61143 0.212071
\(291\) −0.113619 5.51943i −0.00666045 0.323555i
\(292\) −8.01069 4.62497i −0.468790 0.270656i
\(293\) −11.9791 20.7484i −0.699826 1.21213i −0.968527 0.248910i \(-0.919928\pi\)
0.268701 0.963224i \(-0.413406\pi\)
\(294\) −7.46473 + 9.55394i −0.435352 + 0.557197i
\(295\) −0.387434 0.671055i −0.0225573 0.0390703i
\(296\) 7.77313i 0.451804i
\(297\) 15.6673 10.3849i 0.909111 0.602591i
\(298\) 0.253099 0.438380i 0.0146616 0.0253947i
\(299\) 10.1015 25.5589i 0.584184 1.47811i
\(300\) −4.20660 6.95159i −0.242868 0.401350i
\(301\) 0.311094 0.874120i 0.0179312 0.0503835i
\(302\) −18.4650 10.6608i −1.06254 0.613458i
\(303\) −26.8049 + 0.551785i −1.53990 + 0.0316992i
\(304\) 4.74757 + 2.74101i 0.272292 + 0.157208i
\(305\) 0.322014i 0.0184385i
\(306\) 9.86973 6.25351i 0.564215 0.357490i
\(307\) 9.95255i 0.568022i 0.958821 + 0.284011i \(0.0916652\pi\)
−0.958821 + 0.284011i \(0.908335\pi\)
\(308\) 9.01673 + 3.20900i 0.513776 + 0.182850i
\(309\) 0.681999 + 33.1305i 0.0387976 + 1.88473i
\(310\) 2.38619 0.135527
\(311\) −7.68799 + 13.3160i −0.435946 + 0.755081i −0.997372 0.0724462i \(-0.976919\pi\)
0.561426 + 0.827527i \(0.310253\pi\)
\(312\) −3.98190 4.81087i −0.225431 0.272362i
\(313\) −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
\(315\) −4.30214 + 0.974914i −0.242398 + 0.0549302i
\(316\) 6.41273 + 11.1072i 0.360744 + 0.624828i
\(317\) 10.4205 6.01626i 0.585272 0.337907i −0.177954 0.984039i \(-0.556948\pi\)
0.763226 + 0.646132i \(0.223614\pi\)
\(318\) −1.62262 2.68146i −0.0909922 0.150369i
\(319\) 23.5065 1.31611
\(320\) −0.277881 0.481304i −0.0155340 0.0269057i
\(321\) −2.51381 1.38316i −0.140307 0.0772006i
\(322\) 13.0731 + 15.3556i 0.728535 + 0.855733i
\(323\) −18.4903 10.6754i −1.02883 0.593996i
\(324\) 3.84379 8.13789i 0.213544 0.452105i
\(325\) 13.2491 10.5142i 0.734926 0.583225i
\(326\) 20.5161 + 11.8450i 1.13628 + 0.656033i
\(327\) −17.3172 28.6174i −0.957642 1.58255i
\(328\) 2.51823 + 1.45390i 0.139046 + 0.0802781i
\(329\) −11.1470 + 31.3213i −0.614557 + 1.72680i
\(330\) 1.80276 + 2.97915i 0.0992389 + 0.163997i
\(331\) −8.68697 + 15.0463i −0.477479 + 0.827018i −0.999667 0.0258125i \(-0.991783\pi\)
0.522188 + 0.852831i \(0.325116\pi\)
\(332\) −0.175313 −0.00962155
\(333\) −12.4809 19.6983i −0.683950 1.07946i
\(334\) −9.38472 5.41827i −0.513509 0.296474i
\(335\) 2.19308 3.79853i 0.119821 0.207536i
\(336\) 4.48916 0.920589i 0.244903 0.0502223i
\(337\) 11.9191 0.649274 0.324637 0.945839i \(-0.394758\pi\)
0.324637 + 0.945839i \(0.394758\pi\)
\(338\) 8.88755 9.48743i 0.483419 0.516048i
\(339\) 0.0604936 + 2.93869i 0.00328556 + 0.159608i
\(340\) 1.08226 + 1.87453i 0.0586939 + 0.101661i
\(341\) 15.5315 0.841079
\(342\) −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
\(345\) 0.151008 + 7.33576i 0.00813001 + 0.394944i
\(346\) 8.34460 + 4.81776i 0.448609 + 0.259004i
\(347\) 17.1137i 0.918710i 0.888253 + 0.459355i \(0.151919\pi\)
−0.888253 + 0.459355i \(0.848081\pi\)
\(348\) 9.62937 5.82700i 0.516189 0.312360i
\(349\) 0.660860 + 0.381547i 0.0353750 + 0.0204238i 0.517583 0.855633i \(-0.326832\pi\)
−0.482208 + 0.876057i \(0.660165\pi\)
\(350\) 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
\(353\) 4.55883 + 7.89612i 0.242642 + 0.420268i 0.961466 0.274924i \(-0.0886527\pi\)
−0.718824 + 0.695192i \(0.755319\pi\)
\(354\) −2.11577 1.16415i −0.112452 0.0618741i
\(355\) −5.50926 3.18078i −0.292401 0.168818i
\(356\) 7.86229 0.416700
\(357\) −17.4839 + 3.58542i −0.925346 + 0.189760i
\(358\) −9.38612 16.2572i −0.496072 0.859222i
\(359\) 8.53982 4.93047i 0.450715 0.260220i −0.257417 0.966300i \(-0.582872\pi\)
0.708132 + 0.706080i \(0.249538\pi\)
\(360\) 1.47699 + 0.773515i 0.0778444 + 0.0407678i
\(361\) 5.52627 + 9.57178i 0.290856 + 0.503778i
\(362\) 1.79237 0.0942048
\(363\) 1.87018 + 3.09056i 0.0981591 + 0.162212i
\(364\) 3.08125 + 9.02806i 0.161501 + 0.473199i
\(365\) 5.14076i 0.269080i
\(366\) 0.519565 + 0.858604i 0.0271581 + 0.0448800i
\(367\) 19.6107 11.3222i 1.02367 0.591016i 0.108505 0.994096i \(-0.465394\pi\)
0.915165 + 0.403079i \(0.132060\pi\)
\(368\) 7.62233i 0.397342i
\(369\) −8.71600 + 0.358994i −0.453737 + 0.0186885i
\(370\) 3.74124 2.16000i 0.194498 0.112293i
\(371\) 0.865039 + 4.70875i 0.0449106 + 0.244466i
\(372\) 6.36245 3.85009i 0.329877 0.199618i
\(373\) 1.32705 2.29852i 0.0687121 0.119013i −0.829623 0.558325i \(-0.811444\pi\)
0.898335 + 0.439312i \(0.144778\pi\)
\(374\) 7.04434 + 12.2012i 0.364254 + 0.630907i
\(375\) −4.49711 + 8.17322i −0.232230 + 0.422063i
\(376\) 10.8822 6.28286i 0.561208 0.324014i
\(377\) 14.5644 + 18.3527i 0.750103 + 0.945210i
\(378\) −9.89803 + 9.54091i −0.509100 + 0.490732i
\(379\) 4.91414 8.51153i 0.252422 0.437208i −0.711770 0.702413i \(-0.752106\pi\)
0.964192 + 0.265205i \(0.0854395\pi\)
\(380\) 3.04670i 0.156292i
\(381\) −10.7322 17.7354i −0.549827 0.908614i
\(382\) −0.151955 + 0.263194i −0.00777471 + 0.0134662i
\(383\) −18.1216 + 31.3875i −0.925970 + 1.60383i −0.135977 + 0.990712i \(0.543417\pi\)
−0.789993 + 0.613116i \(0.789916\pi\)
\(384\) −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
\(387\) 0.488089 0.931985i 0.0248109 0.0473755i
\(388\) 2.76030 1.59366i 0.140133 0.0809058i
\(389\) 11.4567 + 6.61455i 0.580880 + 0.335371i 0.761483 0.648185i \(-0.224472\pi\)
−0.180603 + 0.983556i \(0.557805\pi\)
\(390\) −1.20899 + 3.25335i −0.0612197 + 0.164740i
\(391\) 29.6867i 1.50132i
\(392\) −6.91033 1.11684i −0.349024 0.0564087i
\(393\) 11.8124 0.243161i 0.595858 0.0122659i
\(394\) −7.32902 + 12.6942i −0.369231 + 0.639526i
\(395\) 3.56395 6.17294i 0.179322 0.310594i
\(396\) 9.61363 + 5.03474i 0.483103 + 0.253005i
\(397\) −1.51547 0.874957i −0.0760592 0.0439128i 0.461488 0.887146i \(-0.347316\pi\)
−0.537547 + 0.843234i \(0.680649\pi\)
\(398\) −13.4801 −0.675697
\(399\) 23.8359 + 7.93426i 1.19329 + 0.397210i
\(400\) 2.34556 4.06264i 0.117278 0.203132i
\(401\) 10.2634i 0.512528i −0.966607 0.256264i \(-0.917508\pi\)
0.966607 0.256264i \(-0.0824916\pi\)
\(402\) −0.281334 13.6668i −0.0140316 0.681636i
\(403\) 9.62316 + 12.1262i 0.479364 + 0.604050i
\(404\) −7.73954 13.4053i −0.385056 0.666937i
\(405\) −4.98491 + 0.411334i −0.247702 + 0.0204394i
\(406\) −16.9096 + 3.10644i −0.839208 + 0.154170i
\(407\) 24.3514 14.0593i 1.20705 0.696892i
\(408\) 5.91023 + 3.25196i 0.292600 + 0.160996i
\(409\) 14.5730i 0.720590i −0.932838 0.360295i \(-0.882676\pi\)
0.932838 0.360295i \(-0.117324\pi\)
\(410\) 1.61604i 0.0798106i
\(411\) 10.4031 + 5.72406i 0.513148 + 0.282347i
\(412\) −16.5688 + 9.56598i −0.816284 + 0.471282i
\(413\) 2.39128 + 2.80878i 0.117667 + 0.138211i
\(414\) 12.2388 + 19.3161i 0.601503 + 0.949334i
\(415\) 0.0487161 + 0.0843787i 0.00239138 + 0.00414199i
\(416\) 1.32525 3.35317i 0.0649757 0.164402i
\(417\) −0.0394417 1.91602i −0.00193147 0.0938277i
\(418\) 19.8307i 0.969950i
\(419\) −17.3685 + 30.0831i −0.848505 + 1.46965i 0.0340367 + 0.999421i \(0.489164\pi\)
−0.882542 + 0.470234i \(0.844170\pi\)
\(420\) −1.69053 1.90483i −0.0824895 0.0929463i
\(421\) 31.5971 1.53995 0.769973 0.638076i \(-0.220269\pi\)
0.769973 + 0.638076i \(0.220269\pi\)
\(422\) 1.36176 + 0.786213i 0.0662894 + 0.0382722i
\(423\) −17.4891 + 33.3947i −0.850349 + 1.62371i
\(424\) 0.904762 1.56709i 0.0439391 0.0761048i
\(425\) −9.13527 + 15.8227i −0.443126 + 0.767516i
\(426\) −19.8218 + 0.408037i −0.960370 + 0.0197694i
\(427\) −0.276986 1.50774i −0.0134043 0.0729648i
\(428\) 1.65654i 0.0800719i
\(429\) −7.86923 + 21.1758i −0.379930 + 1.02238i
\(430\) 0.168786 + 0.0974489i 0.00813961 + 0.00469940i
\(431\) −19.8526 + 11.4619i −0.956265 + 0.552100i −0.895021 0.446023i \(-0.852840\pi\)
−0.0612432 + 0.998123i \(0.519507\pi\)
\(432\) 5.18625 0.320643i 0.249524 0.0154269i
\(433\) −17.3262 + 10.0033i −0.832643 + 0.480727i −0.854757 0.519029i \(-0.826294\pi\)
0.0221138 + 0.999755i \(0.492960\pi\)
\(434\) −11.1727 + 2.05253i −0.536307 + 0.0985244i
\(435\) −5.48037 3.01544i −0.262764 0.144579i
\(436\) 9.65592 16.7245i 0.462435 0.800960i
\(437\) 20.8929 36.1875i 0.999442 1.73108i
\(438\) 8.29455 + 13.7071i 0.396329 + 0.654951i
\(439\) 13.8664i 0.661807i −0.943665 0.330904i \(-0.892647\pi\)
0.943665 0.330904i \(-0.107353\pi\)
\(440\) −1.00521 + 1.74107i −0.0479213 + 0.0830022i
\(441\) 19.3050 8.26534i 0.919287 0.393587i
\(442\) −5.16144 + 13.0596i −0.245505 + 0.621180i
\(443\) −30.9904 + 17.8923i −1.47240 + 0.850089i −0.999518 0.0310388i \(-0.990118\pi\)
−0.472879 + 0.881128i \(0.656785\pi\)
\(444\) 6.49034 11.7958i 0.308018 0.559803i
\(445\) −2.18478 3.78415i −0.103568 0.179386i
\(446\) 0.396352 0.686501i 0.0187678 0.0325068i
\(447\) −0.750113 + 0.453914i −0.0354791 + 0.0214694i
\(448\) 1.71510 + 2.01455i 0.0810311 + 0.0951786i
\(449\) 8.26617 4.77247i 0.390105 0.225227i −0.292101 0.956388i \(-0.594354\pi\)
0.682205 + 0.731161i \(0.261021\pi\)
\(450\) 0.579163 + 14.0615i 0.0273020 + 0.662864i
\(451\) 10.5187i 0.495305i
\(452\) −1.46966 + 0.848506i −0.0691268 + 0.0399104i
\(453\) 19.1193 + 31.5955i 0.898303 + 1.48449i
\(454\) 12.1407i 0.569793i
\(455\) 3.48902 3.99174i 0.163568 0.187136i
\(456\) −4.91580 8.12358i −0.230203 0.380421i
\(457\) −6.56051 −0.306888 −0.153444 0.988157i \(-0.549036\pi\)
−0.153444 + 0.988157i \(0.549036\pi\)
\(458\) 8.45733 + 14.6485i 0.395185 + 0.684481i
\(459\) −20.1989 + 1.24881i −0.942803 + 0.0582894i
\(460\) −3.66865 + 2.11810i −0.171052 + 0.0987569i
\(461\) −1.37324 2.37852i −0.0639581 0.110779i 0.832273 0.554366i \(-0.187039\pi\)
−0.896231 + 0.443587i \(0.853706\pi\)
\(462\) −11.0035 12.3984i −0.511930 0.576825i
\(463\) 3.40968 0.158461 0.0792306 0.996856i \(-0.474754\pi\)
0.0792306 + 0.996856i \(0.474754\pi\)
\(464\) 5.62758 + 3.24909i 0.261254 + 0.150835i
\(465\) −3.62106 1.99240i −0.167923 0.0923954i
\(466\) −5.77933 10.0101i −0.267722 0.463709i
\(467\) −2.17534 3.76781i −0.100663 0.174353i 0.811295 0.584637i \(-0.198763\pi\)
−0.911958 + 0.410284i \(0.865430\pi\)
\(468\) 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
\(471\) −16.1529 + 9.77455i −0.744286 + 0.450388i
\(472\) 1.39424i 0.0641753i
\(473\) 1.09862 + 0.634286i 0.0505144 + 0.0291645i
\(474\) −0.457191 22.2097i −0.0209995 1.02012i
\(475\) 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
\(478\) 28.9533 1.32429
\(479\) 19.2542 + 33.3493i 0.879748 + 1.52377i 0.851617 + 0.524164i \(0.175622\pi\)
0.0281311 + 0.999604i \(0.491044\pi\)
\(480\) 0.0198113 + 0.962403i 0.000904258 + 0.0439275i
\(481\) 26.0646 + 10.3013i 1.18844 + 0.469700i
\(482\) 6.26173 0.285214
\(483\) −7.01704 34.2178i −0.319286 1.55697i
\(484\) −1.04280 + 1.80618i −0.0473999 + 0.0820991i
\(485\) −1.53407 0.885694i −0.0696584 0.0402173i
\(486\) −12.6279 + 9.13985i −0.572812 + 0.414592i
\(487\) 8.88486 0.402611 0.201306 0.979528i \(-0.435482\pi\)
0.201306 + 0.979528i \(0.435482\pi\)
\(488\) −0.289705 + 0.501784i −0.0131143 + 0.0227147i
\(489\) −21.2431 35.1052i −0.960646 1.58751i
\(490\) 1.38271 + 3.63631i 0.0624645 + 0.164272i
\(491\) −9.49716 5.48319i −0.428601 0.247453i 0.270149 0.962818i \(-0.412927\pi\)
−0.698750 + 0.715366i \(0.746260\pi\)
\(492\) −2.60746 4.30894i −0.117553 0.194262i
\(493\) −21.9177 12.6542i −0.987125 0.569917i
\(494\) 15.4828 12.2869i 0.696603 0.552812i
\(495\) −0.248204 6.02613i −0.0111559 0.270854i
\(496\) 3.71833 + 2.14678i 0.166958 + 0.0963932i
\(497\) 28.5317 + 10.1542i 1.27982 + 0.455480i
\(498\) 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 \(-0.363396\pi\)
\(500\) −5.38596 −0.240867
\(501\) 9.71727 + 16.0582i 0.434135 + 0.717428i
\(502\) 7.81917 4.51440i 0.348987 0.201488i
\(503\) −6.97090 12.0739i −0.310817 0.538351i 0.667723 0.744410i \(-0.267269\pi\)
−0.978539 + 0.206060i \(0.933936\pi\)
\(504\) −7.58098 2.35131i −0.337684 0.104736i
\(505\) −4.30134 + 7.45013i −0.191407 + 0.331527i
\(506\) −23.8790 + 13.7865i −1.06155 + 0.612886i
\(507\) −21.4086 + 6.97639i −0.950791 + 0.309832i
\(508\) 5.98419 10.3649i 0.265505 0.459869i
\(509\) −14.6011 −0.647183 −0.323592 0.946197i \(-0.604890\pi\)
−0.323592 + 0.946197i \(0.604890\pi\)
\(510\) −0.0771590 3.74827i −0.00341666 0.165976i
\(511\) −4.42192 24.0703i −0.195614 1.06481i
\(512\) 1.00000i 0.0441942i
\(513\) 25.5010 + 12.6933i 1.12590 + 0.560422i
\(514\) 18.3451i 0.809166i
\(515\) 9.20828 + 5.31640i 0.405765 + 0.234269i
\(516\) 0.607278 0.0125010i 0.0267339 0.000550324i
\(517\) −39.3654 22.7276i −1.73129 0.999559i
\(518\) −15.6594 + 13.3317i −0.688034 + 0.585763i
\(519\) −8.64030 14.2785i −0.379267 0.626755i
\(520\) −1.98215 + 0.293933i −0.0869231 + 0.0128898i
\(521\) −17.7206 + 30.6930i −0.776355 + 1.34469i 0.157674 + 0.987491i \(0.449600\pi\)
−0.934030 + 0.357196i \(0.883733\pi\)
\(522\) −19.4780 + 0.802259i −0.852529 + 0.0351139i
\(523\) 17.9678i 0.785677i 0.919607 + 0.392839i \(0.128507\pi\)
−0.919607 + 0.392839i \(0.871493\pi\)
\(524\) 3.41067 + 5.90746i 0.148996 + 0.258069i
\(525\) 6.78958 20.3971i 0.296322 0.890203i
\(526\) −10.2243 17.7091i −0.445802 0.772152i
\(527\) −14.4818 8.36105i −0.630836 0.364213i
\(528\) 0.128950 + 6.26420i 0.00561183 + 0.272614i
\(529\) −35.0999 −1.52608
\(530\) −1.00566 −0.0436832
\(531\) 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
\(534\) −11.9311 6.56478i −0.516308 0.284086i
\(535\) −0.797298 + 0.460320i −0.0344702 + 0.0199014i
\(536\) 6.83483 3.94609i 0.295220 0.170445i
\(537\) 0.669176 + 32.5076i 0.0288771 + 1.40281i
\(538\) 27.1480i 1.17044i
\(539\) 8.99995 + 23.6684i 0.387655 + 1.01947i
\(540\) −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 \(0.911496\pi\)
\(542\) 10.6671 0.458191
\(543\) −2.71993 1.49658i −0.116723 0.0642242i
\(544\) 3.89470i 0.166984i
\(545\) −10.7328 −0.459741
\(546\) 2.86236 16.2729i 0.122498 0.696415i
\(547\) −18.1327 −0.775298 −0.387649 0.921807i \(-0.626713\pi\)
−0.387649 + 0.921807i \(0.626713\pi\)
\(548\) 6.85540i 0.292848i
\(549\) −0.0715335 1.73676i −0.00305297 0.0741230i
\(550\) −16.9697 −0.723590
\(551\) 17.8116 + 30.8505i 0.758798 + 1.31428i
\(552\) −6.36442 + 11.5669i −0.270888 + 0.492321i
\(553\) −11.3775 + 31.9688i −0.483820 + 1.35945i
\(554\) 19.0401i 0.808936i
\(555\) −7.48089 + 0.153996i −0.317546 + 0.00653676i
\(556\) 0.958211 0.553223i 0.0406372 0.0234619i
\(557\) −5.71526 + 3.29971i −0.242163 + 0.139813i −0.616171 0.787613i \(-0.711317\pi\)
0.374007 + 0.927426i \(0.377983\pi\)
\(558\) −12.8698 + 0.530079i −0.544820 + 0.0224400i
\(559\) 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
\(562\) −3.32671 −0.140329
\(563\) 32.9428 1.38837 0.694187 0.719795i \(-0.255764\pi\)
0.694187 + 0.719795i \(0.255764\pi\)
\(564\) −21.7598 + 0.447932i −0.916255 + 0.0188613i
\(565\) 0.816778 + 0.471567i 0.0343621 + 0.0198390i
\(566\) 9.31437 + 16.1330i 0.391512 + 0.678119i
\(567\) 22.9867 6.21382i 0.965351 0.260956i
\(568\) −5.72327 9.91300i −0.240143 0.415940i
\(569\) 3.84940i 0.161375i −0.996739 0.0806876i \(-0.974288\pi\)
0.996739 0.0806876i \(-0.0257116\pi\)
\(570\) −2.54390 + 4.62338i −0.106552 + 0.193652i
\(571\) 5.78822 10.0255i 0.242229 0.419554i −0.719120 0.694886i \(-0.755455\pi\)
0.961349 + 0.275333i \(0.0887880\pi\)
\(572\) −12.9016 + 1.91319i −0.539445 + 0.0799943i
\(573\) 0.450353 0.272521i 0.0188138 0.0113847i
\(574\) 1.39007 + 7.56668i 0.0580203 + 0.315827i
\(575\) −30.9668 17.8787i −1.29140 0.745592i
\(576\) 1.60565 + 2.53415i 0.0669020 + 0.105589i
\(577\) −11.3976 6.58040i −0.474487 0.273945i 0.243629 0.969869i \(-0.421662\pi\)
−0.718116 + 0.695923i \(0.754995\pi\)
\(578\) 1.83133i 0.0761731i
\(579\) 20.3317 0.418533i 0.844958 0.0173937i
\(580\) 3.61143i 0.149957i
\(581\) −0.300680 0.353177i −0.0124743 0.0146522i
\(582\) −5.51943 + 0.113619i −0.228788 + 0.00470965i
\(583\) −6.54577 −0.271098
\(584\) −4.62497 + 8.01069i −0.191383 + 0.331485i
\(585\) 4.55111 3.92751i 0.188165 0.162382i
\(586\) −20.7484 + 11.9791i −0.857108 + 0.494851i
\(587\) −8.67657 + 15.0283i −0.358120 + 0.620283i −0.987647 0.156696i \(-0.949916\pi\)
0.629526 + 0.776979i \(0.283249\pi\)
\(588\) 9.55394 + 7.46473i 0.393998 + 0.307840i
\(589\) 11.7687 + 20.3840i 0.484920 + 0.839906i
\(590\) −0.671055 + 0.387434i −0.0276269 + 0.0159504i
\(591\) 21.7211 13.1441i 0.893489 0.540674i
\(592\) 7.77313 0.319474
\(593\) −15.6405 27.0901i −0.642278 1.11246i −0.984923 0.172994i \(-0.944656\pi\)
0.342645 0.939465i \(-0.388677\pi\)
\(594\) −10.3849 15.6673i −0.426097 0.642839i
\(595\) −1.92015 + 5.39529i −0.0787185 + 0.221185i
\(596\) −0.438380 0.253099i −0.0179567 0.0103673i
\(597\) 20.4561 + 11.2555i 0.837214 + 0.460657i
\(598\) −25.5589 10.1015i −1.04518 0.413080i
\(599\) 8.02273 + 4.63192i 0.327800 + 0.189255i 0.654864 0.755747i \(-0.272726\pi\)
−0.327064 + 0.945002i \(0.606059\pi\)
\(600\) −6.95159 + 4.20660i −0.283798 + 0.171734i
\(601\) 9.30956 + 5.37488i 0.379745 + 0.219246i 0.677707 0.735332i \(-0.262974\pi\)
−0.297962 + 0.954578i \(0.596307\pi\)
\(602\) −0.874120 0.311094i −0.0356265 0.0126792i
\(603\) −10.9844 + 20.9743i −0.447320 + 0.854139i
\(604\) −10.6608 + 18.4650i −0.433781 + 0.751330i
\(605\) 1.15909 0.0471239
\(606\) 0.551785 + 26.8049i 0.0224147 + 1.08887i
\(607\) 13.8539 + 7.99854i 0.562312 + 0.324651i 0.754073 0.656791i \(-0.228087\pi\)
−0.191761 + 0.981442i \(0.561420\pi\)
\(608\) 2.74101 4.74757i 0.111163 0.192539i
\(609\) 28.2542 + 9.40496i 1.14492 + 0.381108i
\(610\) 0.322014 0.0130380
\(611\) −6.64580 44.8162i −0.268860 1.81307i
\(612\) −6.25351 9.86973i −0.252783 0.398960i
\(613\) 7.29545 + 12.6361i 0.294661 + 0.510367i 0.974906 0.222618i \(-0.0714601\pi\)
−0.680245 + 0.732984i \(0.738127\pi\)
\(614\) 9.95255 0.401652
\(615\) −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 −0.856874 0.515525i \(-0.827597\pi\)
0.0180211 + 0.999838i \(0.494263\pi\)
\(618\) 33.1305 0.681999i 1.33270 0.0274340i
\(619\) −11.1088 6.41367i −0.446500 0.257787i 0.259851 0.965649i \(-0.416327\pi\)
−0.706351 + 0.707862i \(0.749660\pi\)
\(620\) 2.38619i 0.0958318i
\(621\) −2.44405 39.5313i −0.0980762 1.58634i
\(622\) 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
\(626\) 6.80287 + 11.7829i 0.271898 + 0.470940i
\(627\) −16.5580 + 30.0932i −0.661264 + 1.20180i
\(628\) −9.44004 5.45021i −0.376699 0.217487i
\(629\) −30.2740 −1.20710
\(630\) 0.974914 + 4.30214i 0.0388415 + 0.171401i
\(631\) 10.0431 + 17.3952i 0.399810 + 0.692491i 0.993702 0.112053i \(-0.0357428\pi\)
−0.593892 + 0.804545i \(0.702409\pi\)
\(632\) 11.1072 6.41273i 0.441820 0.255085i
\(633\) −1.41001 2.33011i −0.0560430 0.0926136i
\(634\) −6.01626 10.4205i −0.238936 0.413850i
\(635\) −6.65156 −0.263959
\(636\) −2.68146 + 1.62262i −0.106327 + 0.0643412i
\(637\) −12.9028 + 21.6914i −0.511229 + 0.859444i
\(638\) 23.5065i 0.930631i
\(639\) 30.4204 + 15.9314i 1.20341 + 0.630238i
\(640\) −0.481304 + 0.277881i −0.0190252 + 0.0109842i
\(641\) 39.2758i 1.55130i −0.631163 0.775651i \(-0.717422\pi\)
0.631163 0.775651i \(-0.282578\pi\)
\(642\) −1.38316 + 2.51381i −0.0545890 + 0.0992121i
\(643\) −12.0836 + 6.97645i −0.476529 + 0.275124i −0.718969 0.695042i \(-0.755386\pi\)
0.242440 + 0.970166i \(0.422052\pi\)
\(644\) 15.3556 13.0731i 0.605095 0.515152i
\(645\) −0.174767 0.288811i −0.00688146 0.0113719i
\(646\) −10.6754 + 18.4903i −0.420018 + 0.727493i
\(647\) 2.08473 + 3.61085i 0.0819591 + 0.141957i 0.904091 0.427339i \(-0.140549\pi\)
−0.822132 + 0.569297i \(0.807216\pi\)
\(648\) −8.13789 3.84379i −0.319687 0.150998i
\(649\) −4.36784 + 2.52177i −0.171453 + 0.0989882i
\(650\) −10.5142 13.2491i −0.412402 0.519671i
\(651\) 18.6685 + 6.21417i 0.731675 + 0.243552i
\(652\) 11.8450 20.5161i 0.463885 0.803473i
\(653\) 29.0510i 1.13685i 0.822734 + 0.568427i \(0.192448\pi\)
−0.822734 + 0.568427i \(0.807552\pi\)
\(654\) −28.6174 + 17.3172i −1.11903 + 0.677155i
\(655\) 1.89552 3.28314i 0.0740641 0.128283i
\(656\) 1.45390 2.51823i 0.0567652 0.0983202i
\(657\) −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 −0.455351 0.890312i \(-0.650486\pi\)
0.543358 + 0.839501i \(0.317153\pi\)
\(660\) 2.97915 1.80276i 0.115963 0.0701725i
\(661\) −9.68931 + 5.59412i −0.376870 + 0.217586i −0.676456 0.736483i \(-0.736485\pi\)
0.299585 + 0.954070i \(0.403152\pi\)
\(662\) 15.0463 + 8.68697i 0.584790 + 0.337629i
\(663\) 18.7369 15.5083i 0.727680 0.602293i
\(664\) 0.175313i 0.00680346i
\(665\) 6.13772 5.22540i 0.238011 0.202632i
\(666\) −19.6983 + 12.4809i −0.763292 + 0.483626i
\(667\) 24.7656 42.8953i 0.958928 1.66091i
\(668\) −5.41827 + 9.38472i −0.209639 + 0.363106i
\(669\) −1.17467 + 0.710827i −0.0454155 + 0.0274822i
\(670\) −3.79853 2.19308i −0.146750 0.0847263i
\(671\) 2.09596 0.0809136
\(672\) −0.920589 4.48916i −0.0355125 0.173173i
\(673\) −3.63204 + 6.29087i −0.140005 + 0.242495i −0.927498 0.373828i \(-0.878045\pi\)
0.787493 + 0.616323i \(0.211378\pi\)
\(674\) 11.9191i 0.459106i
\(675\) 10.8620 21.8219i 0.418080 0.839927i
\(676\) −9.48743 8.88755i −0.364901 0.341829i
\(677\) 13.7448 + 23.8066i 0.528254 + 0.914962i 0.999457 + 0.0329380i \(0.0104864\pi\)
−0.471204 + 0.882024i \(0.656180\pi\)
\(678\) 2.93869 0.0604936i 0.112860 0.00232324i
\(679\) 7.94471 + 2.82747i 0.304890 + 0.108508i
\(680\) 1.87453 1.08226i 0.0718850 0.0415028i
\(681\) 10.1372 18.4236i 0.388457 0.705996i
\(682\) 15.5315i 0.594733i
\(683\) 26.1620i 1.00106i 0.865719 + 0.500530i \(0.166862\pi\)
−0.865719 + 0.500530i \(0.833138\pi\)
\(684\) 0.676805 + 16.4321i 0.0258783 + 0.628298i
\(685\) 3.29953 1.90498i 0.126068 0.0727857i
\(686\) −9.60202 15.8367i −0.366607 0.604648i
\(687\) −0.602959 29.2908i −0.0230043 1.11752i
\(688\) 0.175343 + 0.303703i 0.00668489 + 0.0115786i
\(689\) −4.05569 5.11060i −0.154509 0.194699i
\(690\) 7.33576 0.151008i 0.279267 0.00574879i
\(691\) 37.4089i 1.42310i 0.702636 + 0.711550i \(0.252006\pi\)
−0.702636 + 0.711550i \(0.747994\pi\)
\(692\) 4.81776 8.34460i 0.183144 0.317214i
\(693\) 6.34563 + 28.0022i 0.241051 + 1.06372i
\(694\) 17.1137 0.649626
\(695\) −0.532537 0.307460i −0.0202003 0.0116626i
\(696\) −5.82700 9.62937i −0.220872 0.365000i
\(697\) −5.66249 + 9.80773i −0.214482 + 0.371494i
\(698\) 0.381547 0.660860i 0.0144418 0.0250139i
\(699\) 0.412033 + 20.0159i 0.0155845 + 0.757073i
\(700\) 12.2073 2.24259i 0.461392 0.0847618i
\(701\) 16.0516i 0.606262i 0.952949 + 0.303131i \(0.0980320\pi\)
−0.952949 + 0.303131i \(0.901968\pi\)
\(702\) 5.79790 17.8153i 0.218828 0.672395i
\(703\) 36.9035 + 21.3062i 1.39184 + 0.803580i
\(704\) −3.13276 + 1.80870i −0.118070 + 0.0681680i
\(705\) 6.26223 + 10.3486i 0.235849 + 0.389751i
\(706\) 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
\(709\) 0.458321 0.793835i 0.0172126 0.0298131i −0.857291 0.514832i \(-0.827854\pi\)
0.874503 + 0.485019i \(0.161187\pi\)
\(710\) −3.18078 + 5.50926i −0.119372 + 0.206759i
\(711\) −17.8506 + 34.0850i −0.669451 + 1.27829i
\(712\) 7.86229i 0.294652i
\(713\) 16.3635 28.3423i 0.612816 1.06143i
\(714\) 3.58542 + 17.4839i 0.134181 + 0.654319i
\(715\) 4.50594 + 5.67797i 0.168513 + 0.212344i
\(716\) −16.2572 + 9.38612i −0.607561 + 0.350776i
\(717\) −43.9367 24.1751i −1.64085 0.902837i
\(718\) −4.93047 8.53982i −0.184003 0.318703i
\(719\) 17.0689 29.5642i 0.636563 1.10256i −0.349618 0.936892i \(-0.613689\pi\)
0.986182 0.165668i \(-0.0529779\pi\)
\(720\) 0.773515 1.47699i 0.0288272 0.0550443i
\(721\) −47.6883 16.9720i −1.77601 0.632069i
\(722\) 9.57178 5.52627i 0.356225 0.205667i
\(723\) −9.50221 5.22836i −0.353391 0.194445i
\(724\) 1.79237i 0.0666129i
\(725\) 26.3997 15.2419i 0.980461 0.566069i
\(726\) 3.09056 1.87018i 0.114701 0.0694090i
\(727\) 10.1792i 0.377524i −0.982023 0.188762i \(-0.939553\pi\)
0.982023 0.188762i \(-0.0604475\pi\)
\(728\) 9.02806 3.08125i 0.334602 0.114199i
\(729\) 26.7944 3.32587i 0.992384 0.123180i
\(730\) 5.14076 0.190268
\(731\) −0.682908 1.18283i −0.0252583 0.0437486i
\(732\) 0.858604 0.519565i 0.0317349 0.0192037i
\(733\) −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
\(735\) 0.937943 6.67265i 0.0345965 0.246124i
\(736\) −7.62233 −0.280963
\(737\) −24.7243 14.2746i −0.910732 0.525812i
\(738\) 0.358994 + 8.71600i 0.0132148 + 0.320840i
\(739\) 5.89098 + 10.2035i 0.216703 + 0.375341i 0.953798 0.300448i \(-0.0971363\pi\)
−0.737095 + 0.675789i \(0.763803\pi\)
\(740\) −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 0.576659 0.816985i \(-0.304356\pi\)
−0.419200 + 0.907894i \(0.637689\pi\)
\(744\) −3.85009 6.36245i −0.141151 0.233259i
\(745\) 0.281325i 0.0103069i
\(746\) −2.29852 1.32705i −0.0841548 0.0485868i
\(747\) −0.281491 0.444268i −0.0102992 0.0162549i
\(748\) 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
\(751\) 10.1703 0.371120 0.185560 0.982633i \(-0.440590\pi\)
0.185560 + 0.982633i \(0.440590\pi\)
\(752\) −6.28286 10.8822i −0.229112 0.396834i
\(753\) −15.6350 + 0.321851i −0.569772 + 0.0117289i
\(754\) 18.3527 14.5644i 0.668365 0.530403i
\(755\) 11.8497 0.431254
\(756\) 9.54091 + 9.89803i 0.347000 + 0.359988i
\(757\) 22.3721 38.7497i 0.813129 1.40838i −0.0975349 0.995232i \(-0.531096\pi\)
0.910664 0.413148i \(-0.135571\pi\)
\(758\) −8.51153 4.91414i −0.309153 0.178489i
\(759\) 47.7478 0.982900i 1.73313 0.0356770i
\(760\) −3.04670 −0.110515
\(761\) 7.15935 12.4004i 0.259526 0.449513i −0.706589 0.707624i \(-0.749767\pi\)
0.966115 + 0.258112i \(0.0831002\pi\)
\(762\) −17.7354 + 10.7322i −0.642487 + 0.388787i
\(763\) 50.2533 9.23199i 1.81929 0.334220i
\(764\) 0.263194 + 0.151955i 0.00952204 + 0.00549755i
\(765\) −3.01261 + 5.75245i −0.108921 + 0.207980i
\(766\) 31.3875 + 18.1216i 1.13408 + 0.654760i
\(767\) −4.67513 1.84772i −0.168809 0.0667173i
\(768\) −0.834971 + 1.51751i −0.0301294 + 0.0547583i
\(769\) 8.87410 + 5.12346i 0.320008 + 0.184757i 0.651396 0.758738i \(-0.274184\pi\)
−0.331388 + 0.943495i \(0.607517\pi\)
\(770\) −5.23151 + 0.961074i −0.188530 + 0.0346347i
\(771\) 15.3176 27.8387i 0.551649 1.00259i
\(772\) 5.87051 + 10.1680i 0.211284 + 0.365955i
\(773\) −51.8689 −1.86560 −0.932798 0.360401i \(-0.882640\pi\)
−0.932798 + 0.360401i \(0.882640\pi\)
\(774\) −0.931985 0.488089i −0.0334995 0.0175440i