Properties

Label 630.2.t.b.311.9
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.9
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.28599 + 1.16028i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-1.69383 + 0.361836i) q^{6} +(-0.555567 - 2.58676i) q^{7} +1.00000i q^{8} +(0.307516 - 2.98420i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.28599 + 1.16028i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-1.69383 + 0.361836i) q^{6} +(-0.555567 - 2.58676i) q^{7} +1.00000i q^{8} +(0.307516 - 2.98420i) q^{9} +(-0.866025 - 0.500000i) q^{10} -4.07809i q^{11} +(-1.64782 - 0.533558i) q^{12} +(-5.20173 - 3.00322i) q^{13} +(0.812247 - 2.51799i) q^{14} +(1.28599 - 1.16028i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.641724 + 1.11150i) q^{17} +(1.75842 - 2.43063i) q^{18} +(2.90701 - 1.67836i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(3.71581 + 2.68193i) q^{21} +(2.03904 - 3.53173i) q^{22} +2.18864i q^{23} +(-1.16028 - 1.28599i) q^{24} +1.00000 q^{25} +(-3.00322 - 5.20173i) q^{26} +(3.06703 + 4.19444i) q^{27} +(1.96242 - 1.77452i) q^{28} +(6.21856 - 3.59029i) q^{29} +(1.69383 - 0.361836i) q^{30} +(-6.79271 + 3.92178i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(4.73171 + 5.24436i) q^{33} +(-1.11150 + 0.641724i) q^{34} +(0.555567 + 2.58676i) q^{35} +(2.73815 - 1.22578i) q^{36} +(-2.90160 - 5.02572i) q^{37} +3.35672 q^{38} +(10.1739 - 2.17335i) q^{39} -1.00000i q^{40} +(1.36925 - 2.37162i) q^{41} +(1.87702 + 4.18052i) q^{42} +(-2.43768 - 4.22219i) q^{43} +(3.53173 - 2.03904i) q^{44} +(-0.307516 + 2.98420i) q^{45} +(-1.09432 + 1.89542i) q^{46} +(4.13613 - 7.16398i) q^{47} +(-0.361836 - 1.69383i) q^{48} +(-6.38269 + 2.87424i) q^{49} +(0.866025 + 0.500000i) q^{50} +(-0.464398 - 2.17395i) q^{51} -6.00644i q^{52} +(-7.48689 - 4.32256i) q^{53} +(0.558910 + 5.16601i) q^{54} +4.07809i q^{55} +(2.58676 - 0.555567i) q^{56} +(-1.79100 + 5.53128i) q^{57} +7.18058 q^{58} +(-0.630579 - 1.09220i) q^{59} +(1.64782 + 0.533558i) q^{60} +(-2.56956 - 1.48353i) q^{61} -7.84355 q^{62} +(-7.89026 + 0.862450i) q^{63} -1.00000 q^{64} +(5.20173 + 3.00322i) q^{65} +(1.47560 + 6.90760i) q^{66} +(4.31098 + 7.46684i) q^{67} -1.28345 q^{68} +(-2.53943 - 2.81456i) q^{69} +(-0.812247 + 2.51799i) q^{70} +14.1375i q^{71} +(2.98420 + 0.307516i) q^{72} +(-6.02332 - 3.47757i) q^{73} -5.80320i q^{74} +(-1.28599 + 1.16028i) q^{75} +(2.90701 + 1.67836i) q^{76} +(-10.5490 + 2.26565i) q^{77} +(9.89754 + 3.20478i) q^{78} +(6.09277 - 10.5530i) q^{79} +(0.500000 - 0.866025i) q^{80} +(-8.81087 - 1.83538i) q^{81} +(2.37162 - 1.36925i) q^{82} +(6.87948 + 11.9156i) q^{83} +(-0.464712 + 4.55895i) q^{84} +(0.641724 - 1.11150i) q^{85} -4.87537i q^{86} +(-3.83125 + 11.8323i) q^{87} +4.07809 q^{88} +(-7.29497 - 12.6353i) q^{89} +(-1.75842 + 2.43063i) q^{90} +(-4.87871 + 15.1241i) q^{91} +(-1.89542 + 1.09432i) q^{92} +(4.18499 - 12.9248i) q^{93} +(7.16398 - 4.13613i) q^{94} +(-2.90701 + 1.67836i) q^{95} +(0.533558 - 1.64782i) q^{96} +(-16.8723 + 9.74120i) q^{97} +(-6.96469 - 0.702180i) q^{98} +(-12.1698 - 1.25408i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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
\(3\) −1.28599 + 1.16028i −0.742464 + 0.669886i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −1.69383 + 0.361836i −0.691505 + 0.147719i
\(7\) −0.555567 2.58676i −0.209985 0.977705i
\(8\) 1.00000i 0.353553i
\(9\) 0.307516 2.98420i 0.102505 0.994732i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 4.07809i 1.22959i −0.788687 0.614795i \(-0.789239\pi\)
0.788687 0.614795i \(-0.210761\pi\)
\(12\) −1.64782 0.533558i −0.475685 0.154025i
\(13\) −5.20173 3.00322i −1.44270 0.832943i −0.444671 0.895694i \(-0.646679\pi\)
−0.998029 + 0.0627507i \(0.980013\pi\)
\(14\) 0.812247 2.51799i 0.217082 0.672960i
\(15\) 1.28599 1.16028i 0.332040 0.299582i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.641724 + 1.11150i −0.155641 + 0.269578i −0.933292 0.359118i \(-0.883078\pi\)
0.777651 + 0.628696i \(0.216411\pi\)
\(18\) 1.75842 2.43063i 0.414462 0.572906i
\(19\) 2.90701 1.67836i 0.666913 0.385043i −0.127993 0.991775i \(-0.540853\pi\)
0.794906 + 0.606733i \(0.207520\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 3.71581 + 2.68193i 0.810857 + 0.585245i
\(22\) 2.03904 3.53173i 0.434726 0.752967i
\(23\) 2.18864i 0.456363i 0.973619 + 0.228182i \(0.0732780\pi\)
−0.973619 + 0.228182i \(0.926722\pi\)
\(24\) −1.16028 1.28599i −0.236840 0.262501i
\(25\) 1.00000 0.200000
\(26\) −3.00322 5.20173i −0.588980 1.02014i
\(27\) 3.06703 + 4.19444i 0.590251 + 0.807220i
\(28\) 1.96242 1.77452i 0.370862 0.335352i
\(29\) 6.21856 3.59029i 1.15476 0.666700i 0.204716 0.978821i \(-0.434373\pi\)
0.950042 + 0.312122i \(0.101040\pi\)
\(30\) 1.69383 0.361836i 0.309250 0.0660620i
\(31\) −6.79271 + 3.92178i −1.22001 + 0.704372i −0.964919 0.262546i \(-0.915438\pi\)
−0.255088 + 0.966918i \(0.582104\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) 4.73171 + 5.24436i 0.823685 + 0.912926i
\(34\) −1.11150 + 0.641724i −0.190621 + 0.110055i
\(35\) 0.555567 + 2.58676i 0.0939079 + 0.437243i
\(36\) 2.73815 1.22578i 0.456358 0.204297i
\(37\) −2.90160 5.02572i −0.477020 0.826223i 0.522633 0.852558i \(-0.324950\pi\)
−0.999653 + 0.0263347i \(0.991616\pi\)
\(38\) 3.35672 0.544532
\(39\) 10.1739 2.17335i 1.62913 0.348014i
\(40\) 1.00000i 0.158114i
\(41\) 1.36925 2.37162i 0.213842 0.370384i −0.739072 0.673626i \(-0.764736\pi\)
0.952914 + 0.303242i \(0.0980690\pi\)
\(42\) 1.87702 + 4.18052i 0.289631 + 0.645069i
\(43\) −2.43768 4.22219i −0.371743 0.643878i 0.618091 0.786107i \(-0.287906\pi\)
−0.989834 + 0.142229i \(0.954573\pi\)
\(44\) 3.53173 2.03904i 0.532428 0.307397i
\(45\) −0.307516 + 2.98420i −0.0458418 + 0.444858i
\(46\) −1.09432 + 1.89542i −0.161349 + 0.279464i
\(47\) 4.13613 7.16398i 0.603316 1.04497i −0.388999 0.921238i \(-0.627179\pi\)
0.992315 0.123736i \(-0.0394876\pi\)
\(48\) −0.361836 1.69383i −0.0522266 0.244484i
\(49\) −6.38269 + 2.87424i −0.911813 + 0.410606i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) −0.464398 2.17395i −0.0650288 0.304414i
\(52\) 6.00644i 0.832943i
\(53\) −7.48689 4.32256i −1.02840 0.593749i −0.111877 0.993722i \(-0.535686\pi\)
−0.916527 + 0.399973i \(0.869020\pi\)
\(54\) 0.558910 + 5.16601i 0.0760581 + 0.703004i
\(55\) 4.07809i 0.549889i
\(56\) 2.58676 0.555567i 0.345671 0.0742407i
\(57\) −1.79100 + 5.53128i −0.237224 + 0.732636i
\(58\) 7.18058 0.942856
\(59\) −0.630579 1.09220i −0.0820944 0.142192i 0.822055 0.569408i \(-0.192828\pi\)
−0.904149 + 0.427216i \(0.859494\pi\)
\(60\) 1.64782 + 0.533558i 0.212733 + 0.0688820i
\(61\) −2.56956 1.48353i −0.328998 0.189947i 0.326398 0.945232i \(-0.394165\pi\)
−0.655396 + 0.755285i \(0.727498\pi\)
\(62\) −7.84355 −0.996132
\(63\) −7.89026 + 0.862450i −0.994079 + 0.108659i
\(64\) −1.00000 −0.125000
\(65\) 5.20173 + 3.00322i 0.645195 + 0.372504i
\(66\) 1.47560 + 6.90760i 0.181634 + 0.850267i
\(67\) 4.31098 + 7.46684i 0.526670 + 0.912220i 0.999517 + 0.0310753i \(0.00989316\pi\)
−0.472847 + 0.881145i \(0.656774\pi\)
\(68\) −1.28345 −0.155641
\(69\) −2.53943 2.81456i −0.305711 0.338833i
\(70\) −0.812247 + 2.51799i −0.0970821 + 0.300957i
\(71\) 14.1375i 1.67781i 0.544277 + 0.838906i \(0.316804\pi\)
−0.544277 + 0.838906i \(0.683196\pi\)
\(72\) 2.98420 + 0.307516i 0.351691 + 0.0362411i
\(73\) −6.02332 3.47757i −0.704977 0.407018i 0.104222 0.994554i \(-0.466765\pi\)
−0.809198 + 0.587536i \(0.800098\pi\)
\(74\) 5.80320i 0.674608i
\(75\) −1.28599 + 1.16028i −0.148493 + 0.133977i
\(76\) 2.90701 + 1.67836i 0.333457 + 0.192521i
\(77\) −10.5490 + 2.26565i −1.20218 + 0.258195i
\(78\) 9.89754 + 3.20478i 1.12068 + 0.362870i
\(79\) 6.09277 10.5530i 0.685490 1.18730i −0.287793 0.957693i \(-0.592921\pi\)
0.973283 0.229610i \(-0.0737452\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) −8.81087 1.83538i −0.978985 0.203931i
\(82\) 2.37162 1.36925i 0.261901 0.151209i
\(83\) 6.87948 + 11.9156i 0.755121 + 1.30791i 0.945314 + 0.326161i \(0.105755\pi\)
−0.190194 + 0.981747i \(0.560912\pi\)
\(84\) −0.464712 + 4.55895i −0.0507042 + 0.497422i
\(85\) 0.641724 1.11150i 0.0696048 0.120559i
\(86\) 4.87537i 0.525724i
\(87\) −3.83125 + 11.8323i −0.410753 + 1.26856i
\(88\) 4.07809 0.434726
\(89\) −7.29497 12.6353i −0.773265 1.33933i −0.935764 0.352626i \(-0.885289\pi\)
0.162499 0.986709i \(-0.448045\pi\)
\(90\) −1.75842 + 2.43063i −0.185353 + 0.256211i
\(91\) −4.87871 + 15.1241i −0.511428 + 1.58544i
\(92\) −1.89542 + 1.09432i −0.197611 + 0.114091i
\(93\) 4.18499 12.9248i 0.433963 1.34024i
\(94\) 7.16398 4.13613i 0.738908 0.426609i
\(95\) −2.90701 + 1.67836i −0.298253 + 0.172196i
\(96\) 0.533558 1.64782i 0.0544560 0.168180i
\(97\) −16.8723 + 9.74120i −1.71312 + 0.989069i −0.782832 + 0.622233i \(0.786226\pi\)
−0.930285 + 0.366837i \(0.880441\pi\)
\(98\) −6.96469 0.702180i −0.703540 0.0709309i
\(99\) −12.1698 1.25408i −1.22311 0.126039i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 8.53717 0.849480 0.424740 0.905315i \(-0.360365\pi\)
0.424740 + 0.905315i \(0.360365\pi\)
\(102\) 0.684794 2.11489i 0.0678047 0.209406i
\(103\) 3.61248i 0.355948i 0.984035 + 0.177974i \(0.0569543\pi\)
−0.984035 + 0.177974i \(0.943046\pi\)
\(104\) 3.00322 5.20173i 0.294490 0.510072i
\(105\) −3.71581 2.68193i −0.362626 0.261729i
\(106\) −4.32256 7.48689i −0.419844 0.727191i
\(107\) 11.5596 6.67392i 1.11751 0.645192i 0.176743 0.984257i \(-0.443444\pi\)
0.940763 + 0.339065i \(0.110111\pi\)
\(108\) −2.09897 + 4.75335i −0.201974 + 0.457391i
\(109\) 5.38583 9.32854i 0.515869 0.893512i −0.483961 0.875090i \(-0.660802\pi\)
0.999830 0.0184222i \(-0.00586429\pi\)
\(110\) −2.03904 + 3.53173i −0.194415 + 0.336737i
\(111\) 9.56264 + 3.09634i 0.907646 + 0.293892i
\(112\) 2.51799 + 0.812247i 0.237927 + 0.0767501i
\(113\) −2.45659 1.41832i −0.231097 0.133424i 0.379981 0.924994i \(-0.375930\pi\)
−0.611078 + 0.791570i \(0.709264\pi\)
\(114\) −4.31670 + 3.89473i −0.404296 + 0.364775i
\(115\) 2.18864i 0.204092i
\(116\) 6.21856 + 3.59029i 0.577379 + 0.333350i
\(117\) −10.5618 + 14.5994i −0.976440 + 1.34972i
\(118\) 1.26116i 0.116099i
\(119\) 3.23171 + 1.04248i 0.296250 + 0.0955637i
\(120\) 1.16028 + 1.28599i 0.105918 + 0.117394i
\(121\) −5.63079 −0.511890
\(122\) −1.48353 2.56956i −0.134313 0.232637i
\(123\) 0.990892 + 4.63858i 0.0893457 + 0.418247i
\(124\) −6.79271 3.92178i −0.610004 0.352186i
\(125\) −1.00000 −0.0894427
\(126\) −7.26439 3.19823i −0.647163 0.284921i
\(127\) −10.9625 −0.972768 −0.486384 0.873745i \(-0.661684\pi\)
−0.486384 + 0.873745i \(0.661684\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 8.03373 + 2.60129i 0.707331 + 0.229031i
\(130\) 3.00322 + 5.20173i 0.263400 + 0.456222i
\(131\) 20.7312 1.81129 0.905647 0.424032i \(-0.139386\pi\)
0.905647 + 0.424032i \(0.139386\pi\)
\(132\) −2.17589 + 6.71996i −0.189387 + 0.584897i
\(133\) −5.95656 6.58730i −0.516499 0.571191i
\(134\) 8.62197i 0.744825i
\(135\) −3.06703 4.19444i −0.263968 0.361000i
\(136\) −1.11150 0.641724i −0.0953103 0.0550274i
\(137\) 9.67432i 0.826533i 0.910610 + 0.413267i \(0.135612\pi\)
−0.910610 + 0.413267i \(0.864388\pi\)
\(138\) −0.791930 3.70719i −0.0674136 0.315577i
\(139\) −4.57137 2.63928i −0.387739 0.223861i 0.293441 0.955977i \(-0.405200\pi\)
−0.681180 + 0.732116i \(0.738533\pi\)
\(140\) −1.96242 + 1.77452i −0.165855 + 0.149974i
\(141\) 2.99320 + 14.0118i 0.252073 + 1.18001i
\(142\) −7.06874 + 12.2434i −0.593196 + 1.02745i
\(143\) −12.2474 + 21.2131i −1.02418 + 1.77393i
\(144\) 2.43063 + 1.75842i 0.202553 + 0.146535i
\(145\) −6.21856 + 3.59029i −0.516423 + 0.298157i
\(146\) −3.47757 6.02332i −0.287806 0.498494i
\(147\) 4.87313 11.1019i 0.401929 0.915671i
\(148\) 2.90160 5.02572i 0.238510 0.413112i
\(149\) 4.37779i 0.358642i −0.983791 0.179321i \(-0.942610\pi\)
0.983791 0.179321i \(-0.0573901\pi\)
\(150\) −1.69383 + 0.361836i −0.138301 + 0.0295438i
\(151\) −5.57316 −0.453538 −0.226769 0.973949i \(-0.572816\pi\)
−0.226769 + 0.973949i \(0.572816\pi\)
\(152\) 1.67836 + 2.90701i 0.136133 + 0.235789i
\(153\) 3.11959 + 2.25684i 0.252204 + 0.182454i
\(154\) −10.2686 3.31241i −0.827465 0.266922i
\(155\) 6.79271 3.92178i 0.545604 0.315005i
\(156\) 6.96913 + 7.72419i 0.557977 + 0.618430i
\(157\) −0.243649 + 0.140671i −0.0194453 + 0.0112267i −0.509691 0.860357i \(-0.670240\pi\)
0.490246 + 0.871584i \(0.336907\pi\)
\(158\) 10.5530 6.09277i 0.839550 0.484714i
\(159\) 14.6434 3.12812i 1.16130 0.248076i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) 5.66149 1.21594i 0.446188 0.0958292i
\(162\) −6.71275 5.99492i −0.527403 0.471005i
\(163\) −3.76577 6.52251i −0.294958 0.510882i 0.680017 0.733196i \(-0.261972\pi\)
−0.974975 + 0.222314i \(0.928639\pi\)
\(164\) 2.73851 0.213842
\(165\) −4.73171 5.24436i −0.368363 0.408273i
\(166\) 13.7590i 1.06790i
\(167\) −4.87241 + 8.43926i −0.377039 + 0.653050i −0.990630 0.136574i \(-0.956391\pi\)
0.613591 + 0.789624i \(0.289724\pi\)
\(168\) −2.68193 + 3.71581i −0.206915 + 0.286681i
\(169\) 11.5387 + 19.9855i 0.887589 + 1.53735i
\(170\) 1.11150 0.641724i 0.0852481 0.0492180i
\(171\) −4.11461 9.19121i −0.314652 0.702869i
\(172\) 2.43768 4.22219i 0.185872 0.321939i
\(173\) 7.13345 12.3555i 0.542346 0.939370i −0.456423 0.889763i \(-0.650870\pi\)
0.998769 0.0496076i \(-0.0157971\pi\)
\(174\) −9.23412 + 8.33146i −0.700036 + 0.631606i
\(175\) −0.555567 2.58676i −0.0419969 0.195541i
\(176\) 3.53173 + 2.03904i 0.266214 + 0.153699i
\(177\) 2.07816 + 0.672901i 0.156204 + 0.0505783i
\(178\) 14.5899i 1.09356i
\(179\) 7.42444 + 4.28650i 0.554928 + 0.320388i 0.751107 0.660180i \(-0.229520\pi\)
−0.196179 + 0.980568i \(0.562853\pi\)
\(180\) −2.73815 + 1.22578i −0.204090 + 0.0913644i
\(181\) 1.70947i 0.127064i 0.997980 + 0.0635319i \(0.0202365\pi\)
−0.997980 + 0.0635319i \(0.979764\pi\)
\(182\) −11.7872 + 10.6585i −0.873722 + 0.790063i
\(183\) 5.02572 1.07359i 0.371512 0.0793623i
\(184\) −2.18864 −0.161349
\(185\) 2.90160 + 5.02572i 0.213330 + 0.369498i
\(186\) 10.0867 9.10069i 0.739592 0.667295i
\(187\) 4.53279 + 2.61701i 0.331470 + 0.191375i
\(188\) 8.27225 0.603316
\(189\) 9.14607 10.2640i 0.665279 0.746595i
\(190\) −3.35672 −0.243522
\(191\) −8.02069 4.63075i −0.580357 0.335069i 0.180918 0.983498i \(-0.442093\pi\)
−0.761275 + 0.648429i \(0.775426\pi\)
\(192\) 1.28599 1.16028i 0.0928080 0.0837358i
\(193\) 12.1247 + 21.0006i 0.872756 + 1.51166i 0.859134 + 0.511751i \(0.171003\pi\)
0.0136221 + 0.999907i \(0.495664\pi\)
\(194\) −19.4824 −1.39875
\(195\) −10.1739 + 2.17335i −0.728569 + 0.155637i
\(196\) −5.68051 4.09045i −0.405751 0.292175i
\(197\) 18.8947i 1.34619i −0.739554 0.673097i \(-0.764964\pi\)
0.739554 0.673097i \(-0.235036\pi\)
\(198\) −9.91233 7.17097i −0.704439 0.509619i
\(199\) 2.25502 + 1.30194i 0.159854 + 0.0922919i 0.577793 0.816183i \(-0.303914\pi\)
−0.417939 + 0.908475i \(0.637247\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −14.2075 4.60032i −1.00212 0.324481i
\(202\) 7.39341 + 4.26859i 0.520198 + 0.300337i
\(203\) −12.7421 14.0913i −0.894317 0.989016i
\(204\) 1.65050 1.48916i 0.115558 0.104262i
\(205\) −1.36925 + 2.37162i −0.0956329 + 0.165641i
\(206\) −1.80624 + 3.12850i −0.125847 + 0.217973i
\(207\) 6.53133 + 0.673042i 0.453959 + 0.0467796i
\(208\) 5.20173 3.00322i 0.360675 0.208236i
\(209\) −6.84450 11.8550i −0.473444 0.820029i
\(210\) −1.87702 4.18052i −0.129527 0.288484i
\(211\) −3.12513 + 5.41288i −0.215143 + 0.372638i −0.953317 0.301972i \(-0.902355\pi\)
0.738174 + 0.674610i \(0.235688\pi\)
\(212\) 8.64512i 0.593749i
\(213\) −16.4034 18.1806i −1.12394 1.24571i
\(214\) 13.3478 0.912440
\(215\) 2.43768 + 4.22219i 0.166249 + 0.287951i
\(216\) −4.19444 + 3.06703i −0.285395 + 0.208685i
\(217\) 13.9185 + 15.3923i 0.944850 + 1.04490i
\(218\) 9.32854 5.38583i 0.631808 0.364775i
\(219\) 11.7808 2.51662i 0.796076 0.170058i
\(220\) −3.53173 + 2.03904i −0.238109 + 0.137472i
\(221\) 6.67615 3.85448i 0.449087 0.259280i
\(222\) 6.73332 + 7.46283i 0.451911 + 0.500872i
\(223\) 4.24320 2.44981i 0.284145 0.164051i −0.351153 0.936318i \(-0.614210\pi\)
0.635299 + 0.772267i \(0.280877\pi\)
\(224\) 1.77452 + 1.96242i 0.118565 + 0.131120i
\(225\) 0.307516 2.98420i 0.0205011 0.198946i
\(226\) −1.41832 2.45659i −0.0943449 0.163410i
\(227\) 17.4808 1.16024 0.580121 0.814531i \(-0.303005\pi\)
0.580121 + 0.814531i \(0.303005\pi\)
\(228\) −5.68573 + 1.21458i −0.376547 + 0.0804378i
\(229\) 14.5924i 0.964292i −0.876091 0.482146i \(-0.839857\pi\)
0.876091 0.482146i \(-0.160143\pi\)
\(230\) 1.09432 1.89542i 0.0721573 0.124980i
\(231\) 10.9371 15.1534i 0.719611 0.997021i
\(232\) 3.59029 + 6.21856i 0.235714 + 0.408269i
\(233\) 3.42360 1.97662i 0.224288 0.129493i −0.383646 0.923480i \(-0.625332\pi\)
0.607934 + 0.793988i \(0.291998\pi\)
\(234\) −16.4465 + 7.36259i −1.07514 + 0.481307i
\(235\) −4.13613 + 7.16398i −0.269811 + 0.467327i
\(236\) 0.630579 1.09220i 0.0410472 0.0710959i
\(237\) 4.40917 + 20.6403i 0.286406 + 1.34073i
\(238\) 2.27750 + 2.51866i 0.147628 + 0.163261i
\(239\) 16.0317 + 9.25590i 1.03700 + 0.598714i 0.918983 0.394297i \(-0.129012\pi\)
0.118021 + 0.993011i \(0.462345\pi\)
\(240\) 0.361836 + 1.69383i 0.0233564 + 0.109337i
\(241\) 21.9366i 1.41306i −0.707681 0.706532i \(-0.750259\pi\)
0.707681 0.706532i \(-0.249741\pi\)
\(242\) −4.87641 2.81540i −0.313468 0.180981i
\(243\) 13.4602 7.86278i 0.863472 0.504397i
\(244\) 2.96707i 0.189947i
\(245\) 6.38269 2.87424i 0.407775 0.183628i
\(246\) −1.46115 + 4.51257i −0.0931596 + 0.287711i
\(247\) −20.1620 −1.28287
\(248\) −3.92178 6.79271i −0.249033 0.431338i
\(249\) −22.6723 7.34119i −1.43680 0.465229i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) 15.6773 0.989540 0.494770 0.869024i \(-0.335252\pi\)
0.494770 + 0.869024i \(0.335252\pi\)
\(252\) −4.69203 6.40194i −0.295570 0.403284i
\(253\) 8.92547 0.561139
\(254\) −9.49383 5.48127i −0.595696 0.343925i
\(255\) 0.464398 + 2.17395i 0.0290818 + 0.136138i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −10.5872 −0.660411 −0.330206 0.943909i \(-0.607118\pi\)
−0.330206 + 0.943909i \(0.607118\pi\)
\(258\) 5.65677 + 6.26965i 0.352175 + 0.390331i
\(259\) −11.3883 + 10.2979i −0.707635 + 0.639879i
\(260\) 6.00644i 0.372504i
\(261\) −8.80182 19.6615i −0.544819 1.21702i
\(262\) 17.9538 + 10.3656i 1.10919 + 0.640389i
\(263\) 24.2649i 1.49624i 0.663564 + 0.748120i \(0.269043\pi\)
−0.663564 + 0.748120i \(0.730957\pi\)
\(264\) −5.24436 + 4.73171i −0.322768 + 0.291217i
\(265\) 7.48689 + 4.32256i 0.459916 + 0.265533i
\(266\) −1.86488 8.68305i −0.114343 0.532392i
\(267\) 24.0416 + 7.78457i 1.47132 + 0.476408i
\(268\) −4.31098 + 7.46684i −0.263335 + 0.456110i
\(269\) −9.04616 + 15.6684i −0.551554 + 0.955320i 0.446608 + 0.894730i \(0.352632\pi\)
−0.998163 + 0.0605906i \(0.980702\pi\)
\(270\) −0.558910 5.16601i −0.0340142 0.314393i
\(271\) −3.07389 + 1.77471i −0.186725 + 0.107806i −0.590449 0.807075i \(-0.701049\pi\)
0.403723 + 0.914881i \(0.367716\pi\)
\(272\) −0.641724 1.11150i −0.0389102 0.0673945i
\(273\) −11.2742 25.1101i −0.682347 1.51973i
\(274\) −4.83716 + 8.37821i −0.292224 + 0.506146i
\(275\) 4.07809i 0.245918i
\(276\) 1.16777 3.60649i 0.0702912 0.217085i
\(277\) 2.30895 0.138732 0.0693658 0.997591i \(-0.477902\pi\)
0.0693658 + 0.997591i \(0.477902\pi\)
\(278\) −2.63928 4.57137i −0.158294 0.274173i
\(279\) 9.61448 + 21.4768i 0.575604 + 1.28578i
\(280\) −2.58676 + 0.555567i −0.154589 + 0.0332015i
\(281\) −0.186637 + 0.107755i −0.0111338 + 0.00642812i −0.505557 0.862793i \(-0.668713\pi\)
0.494423 + 0.869222i \(0.335379\pi\)
\(282\) −4.41372 + 13.6312i −0.262833 + 0.811726i
\(283\) 13.3787 7.72421i 0.795283 0.459157i −0.0465363 0.998917i \(-0.514818\pi\)
0.841819 + 0.539760i \(0.181485\pi\)
\(284\) −12.2434 + 7.06874i −0.726514 + 0.419453i
\(285\) 1.79100 5.53128i 0.106090 0.327645i
\(286\) −21.2131 + 12.2474i −1.25436 + 0.724203i
\(287\) −6.89553 2.22434i −0.407030 0.131299i
\(288\) 1.22578 + 2.73815i 0.0722299 + 0.161347i
\(289\) 7.67638 + 13.2959i 0.451552 + 0.782111i
\(290\) −7.18058 −0.421658
\(291\) 10.3950 32.1035i 0.609365 1.88194i
\(292\) 6.95513i 0.407018i
\(293\) 0.347292 0.601528i 0.0202890 0.0351417i −0.855703 0.517468i \(-0.826875\pi\)
0.875992 + 0.482326i \(0.160208\pi\)
\(294\) 9.77122 7.17798i 0.569869 0.418628i
\(295\) 0.630579 + 1.09220i 0.0367137 + 0.0635901i
\(296\) 5.02572 2.90160i 0.292114 0.168652i
\(297\) 17.1053 12.5076i 0.992549 0.725766i
\(298\) 2.18889 3.79127i 0.126799 0.219623i
\(299\) 6.57297 11.3847i 0.380125 0.658395i
\(300\) −1.64782 0.533558i −0.0951370 0.0308050i
\(301\) −9.56751 + 8.65142i −0.551462 + 0.498659i
\(302\) −4.82650 2.78658i −0.277734 0.160350i
\(303\) −10.9787 + 9.90548i −0.630709 + 0.569055i
\(304\) 3.35672i 0.192521i
\(305\) 2.56956 + 1.48353i 0.147132 + 0.0849469i
\(306\) 1.57323 + 3.51427i 0.0899355 + 0.200898i
\(307\) 34.0796i 1.94502i −0.232853 0.972512i \(-0.574806\pi\)
0.232853 0.972512i \(-0.425194\pi\)
\(308\) −7.23663 8.00292i −0.412345 0.456009i
\(309\) −4.19147 4.64559i −0.238444 0.264278i
\(310\) 7.84355 0.445484
\(311\) −4.24381 7.35049i −0.240644 0.416808i 0.720254 0.693711i \(-0.244025\pi\)
−0.960898 + 0.276903i \(0.910692\pi\)
\(312\) 2.17335 + 10.1739i 0.123042 + 0.575984i
\(313\) 23.6250 + 13.6399i 1.33536 + 0.770973i 0.986116 0.166057i \(-0.0531037\pi\)
0.349248 + 0.937030i \(0.386437\pi\)
\(314\) −0.281341 −0.0158770
\(315\) 7.89026 0.862450i 0.444566 0.0485936i
\(316\) 12.1855 0.685490
\(317\) 0.0390775 + 0.0225614i 0.00219481 + 0.00126717i 0.501097 0.865391i \(-0.332930\pi\)
−0.498902 + 0.866658i \(0.666263\pi\)
\(318\) 14.2456 + 4.61267i 0.798854 + 0.258666i
\(319\) −14.6415 25.3598i −0.819767 1.41988i
\(320\) 1.00000 0.0559017
\(321\) −7.12184 + 21.9949i −0.397503 + 1.22763i
\(322\) 5.51097 + 1.77772i 0.307114 + 0.0990682i
\(323\) 4.30818i 0.239714i
\(324\) −2.81595 8.54812i −0.156442 0.474896i
\(325\) −5.20173 3.00322i −0.288540 0.166589i
\(326\) 7.53154i 0.417134i
\(327\) 3.89758 + 18.2454i 0.215537 + 1.00897i
\(328\) 2.37162 + 1.36925i 0.130951 + 0.0756044i
\(329\) −20.8294 6.71911i −1.14836 0.370437i
\(330\) −1.47560 6.90760i −0.0812291 0.380251i
\(331\) −9.23258 + 15.9913i −0.507468 + 0.878961i 0.492494 + 0.870316i \(0.336085\pi\)
−0.999963 + 0.00864533i \(0.997248\pi\)
\(332\) −6.87948 + 11.9156i −0.377560 + 0.653954i
\(333\) −15.8900 + 7.11346i −0.870768 + 0.389815i
\(334\) −8.43926 + 4.87241i −0.461776 + 0.266607i
\(335\) −4.31098 7.46684i −0.235534 0.407957i
\(336\) −4.18052 + 1.87702i −0.228066 + 0.102400i
\(337\) 11.5293 19.9693i 0.628041 1.08780i −0.359903 0.932990i \(-0.617190\pi\)
0.987944 0.154810i \(-0.0494764\pi\)
\(338\) 23.0773i 1.25524i
\(339\) 4.80478 1.02640i 0.260960 0.0557462i
\(340\) 1.28345 0.0696048
\(341\) 15.9933 + 27.7013i 0.866088 + 1.50011i
\(342\) 1.03225 10.0171i 0.0558175 0.541664i
\(343\) 10.9810 + 14.9137i 0.592918 + 0.805263i
\(344\) 4.22219 2.43768i 0.227645 0.131431i
\(345\) 2.53943 + 2.81456i 0.136718 + 0.151531i
\(346\) 12.3555 7.13345i 0.664235 0.383496i
\(347\) −19.3393 + 11.1655i −1.03819 + 0.599398i −0.919319 0.393512i \(-0.871260\pi\)
−0.118868 + 0.992910i \(0.537927\pi\)
\(348\) −12.1627 + 2.59819i −0.651989 + 0.139278i
\(349\) −8.01876 + 4.62963i −0.429235 + 0.247819i −0.699020 0.715102i \(-0.746380\pi\)
0.269786 + 0.962920i \(0.413047\pi\)
\(350\) 0.812247 2.51799i 0.0434164 0.134592i
\(351\) −3.35706 31.0293i −0.179187 1.65622i
\(352\) 2.03904 + 3.53173i 0.108681 + 0.188242i
\(353\) 13.1868 0.701860 0.350930 0.936402i \(-0.385865\pi\)
0.350930 + 0.936402i \(0.385865\pi\)
\(354\) 1.46329 + 1.62183i 0.0777731 + 0.0861993i
\(355\) 14.1375i 0.750340i
\(356\) 7.29497 12.6353i 0.386633 0.669667i
\(357\) −5.36549 + 2.40906i −0.283972 + 0.127501i
\(358\) 4.28650 + 7.42444i 0.226549 + 0.392394i
\(359\) 9.81294 5.66550i 0.517907 0.299014i −0.218171 0.975911i \(-0.570009\pi\)
0.736078 + 0.676897i \(0.236676\pi\)
\(360\) −2.98420 0.307516i −0.157281 0.0162075i
\(361\) −3.86621 + 6.69647i −0.203485 + 0.352446i
\(362\) −0.854734 + 1.48044i −0.0449238 + 0.0778104i
\(363\) 7.24112 6.53328i 0.380060 0.342908i
\(364\) −15.5372 + 3.33698i −0.814373 + 0.174905i
\(365\) 6.02332 + 3.47757i 0.315275 + 0.182024i
\(366\) 4.88920 + 1.58310i 0.255563 + 0.0827500i
\(367\) 24.3474i 1.27092i −0.772133 0.635461i \(-0.780810\pi\)
0.772133 0.635461i \(-0.219190\pi\)
\(368\) −1.89542 1.09432i −0.0988055 0.0570454i
\(369\) −6.65631 4.81543i −0.346514 0.250682i
\(370\) 5.80320i 0.301694i
\(371\) −7.02197 + 21.7683i −0.364563 + 1.13015i
\(372\) 13.2857 2.83808i 0.688830 0.147148i
\(373\) −27.4626 −1.42196 −0.710979 0.703214i \(-0.751748\pi\)
−0.710979 + 0.703214i \(0.751748\pi\)
\(374\) 2.61701 + 4.53279i 0.135322 + 0.234385i
\(375\) 1.28599 1.16028i 0.0664080 0.0599164i
\(376\) 7.16398 + 4.13613i 0.369454 + 0.213304i
\(377\) −43.1297 −2.22129
\(378\) 13.0527 4.31583i 0.671360 0.221982i
\(379\) 32.0033 1.64390 0.821948 0.569562i \(-0.192887\pi\)
0.821948 + 0.569562i \(0.192887\pi\)
\(380\) −2.90701 1.67836i −0.149126 0.0860981i
\(381\) 14.0977 12.7196i 0.722245 0.651643i
\(382\) −4.63075 8.02069i −0.236930 0.410374i
\(383\) 14.2705 0.729191 0.364595 0.931166i \(-0.381207\pi\)
0.364595 + 0.931166i \(0.381207\pi\)
\(384\) 1.69383 0.361836i 0.0864381 0.0184649i
\(385\) 10.5490 2.26565i 0.537629 0.115468i
\(386\) 24.2494i 1.23426i
\(387\) −13.3495 + 5.97614i −0.678592 + 0.303784i
\(388\) −16.8723 9.74120i −0.856559 0.494535i
\(389\) 10.7610i 0.545604i 0.962070 + 0.272802i \(0.0879504\pi\)
−0.962070 + 0.272802i \(0.912050\pi\)
\(390\) −9.89754 3.20478i −0.501182 0.162280i
\(391\) −2.43267 1.40450i −0.123025 0.0710288i
\(392\) −2.87424 6.38269i −0.145171 0.322375i
\(393\) −26.6600 + 24.0539i −1.34482 + 1.21336i
\(394\) 9.44736 16.3633i 0.475951 0.824372i
\(395\) −6.09277 + 10.5530i −0.306560 + 0.530978i
\(396\) −4.99885 11.1664i −0.251201 0.561133i
\(397\) 19.3500 11.1717i 0.971150 0.560694i 0.0715634 0.997436i \(-0.477201\pi\)
0.899587 + 0.436742i \(0.143868\pi\)
\(398\) 1.30194 + 2.25502i 0.0652602 + 0.113034i
\(399\) 15.3031 + 1.55991i 0.766115 + 0.0780931i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 18.9839i 0.948009i −0.880522 0.474005i \(-0.842808\pi\)
0.880522 0.474005i \(-0.157192\pi\)
\(402\) −10.0039 11.0877i −0.498948 0.553005i
\(403\) 47.1118 2.34681
\(404\) 4.26859 + 7.39341i 0.212370 + 0.367836i
\(405\) 8.81087 + 1.83538i 0.437816 + 0.0912006i
\(406\) −3.98929 18.5745i −0.197985 0.921835i
\(407\) −20.4953 + 11.8330i −1.01592 + 0.586539i
\(408\) 2.17395 0.464398i 0.107627 0.0229912i
\(409\) 22.5328 13.0093i 1.11418 0.643270i 0.174269 0.984698i \(-0.444244\pi\)
0.939908 + 0.341428i \(0.110910\pi\)
\(410\) −2.37162 + 1.36925i −0.117126 + 0.0676226i
\(411\) −11.2249 12.4410i −0.553683 0.613671i
\(412\) −3.12850 + 1.80624i −0.154130 + 0.0889869i
\(413\) −2.47492 + 2.23795i −0.121783 + 0.110122i
\(414\) 5.31978 + 3.84854i 0.261453 + 0.189145i
\(415\) −6.87948 11.9156i −0.337700 0.584914i
\(416\) 6.00644 0.294490
\(417\) 8.94101 1.90998i 0.437843 0.0935320i
\(418\) 13.6890i 0.669551i
\(419\) 3.75114 6.49717i 0.183255 0.317407i −0.759732 0.650236i \(-0.774670\pi\)
0.942987 + 0.332829i \(0.108003\pi\)
\(420\) 0.464712 4.55895i 0.0226756 0.222454i
\(421\) −7.94926 13.7685i −0.387423 0.671037i 0.604679 0.796469i \(-0.293301\pi\)
−0.992102 + 0.125433i \(0.959968\pi\)
\(422\) −5.41288 + 3.12513i −0.263495 + 0.152129i
\(423\) −20.1068 14.5461i −0.977626 0.707253i
\(424\) 4.32256 7.48689i 0.209922 0.363596i
\(425\) −0.641724 + 1.11150i −0.0311282 + 0.0539156i
\(426\) −5.11546 23.9466i −0.247845 1.16021i
\(427\) −2.40999 + 7.47104i −0.116628 + 0.361549i
\(428\) 11.5596 + 6.67392i 0.558753 + 0.322596i
\(429\) −8.86311 41.4901i −0.427915 2.00316i
\(430\) 4.87537i 0.235111i
\(431\) −19.4232 11.2140i −0.935581 0.540158i −0.0470087 0.998894i \(-0.514969\pi\)
−0.888572 + 0.458737i \(0.848302\pi\)
\(432\) −5.16601 + 0.558910i −0.248550 + 0.0268906i
\(433\) 1.97195i 0.0947659i 0.998877 + 0.0473830i \(0.0150881\pi\)
−0.998877 + 0.0473830i \(0.984912\pi\)
\(434\) 4.35762 + 20.2894i 0.209172 + 0.973923i
\(435\) 3.83125 11.8323i 0.183694 0.567316i
\(436\) 10.7717 0.515869
\(437\) 3.67333 + 6.36239i 0.175719 + 0.304355i
\(438\) 11.4608 + 3.71096i 0.547619 + 0.177317i
\(439\) 9.15130 + 5.28351i 0.436768 + 0.252168i 0.702226 0.711954i \(-0.252190\pi\)
−0.265458 + 0.964122i \(0.585523\pi\)
\(440\) −4.07809 −0.194415
\(441\) 6.61452 + 19.9311i 0.314977 + 0.949099i
\(442\) 7.70896 0.366678
\(443\) −5.85561 3.38074i −0.278208 0.160624i 0.354404 0.935093i \(-0.384684\pi\)
−0.632612 + 0.774469i \(0.718017\pi\)
\(444\) 2.09981 + 9.82966i 0.0996525 + 0.466495i
\(445\) 7.29497 + 12.6353i 0.345815 + 0.598969i
\(446\) 4.89962 0.232004
\(447\) 5.07944 + 5.62977i 0.240249 + 0.266279i
\(448\) 0.555567 + 2.58676i 0.0262481 + 0.122213i
\(449\) 3.97534i 0.187608i −0.995591 0.0938039i \(-0.970097\pi\)
0.995591 0.0938039i \(-0.0299027\pi\)
\(450\) 1.75842 2.43063i 0.0828925 0.114581i
\(451\) −9.67166 5.58394i −0.455421 0.262937i
\(452\) 2.83663i 0.133424i
\(453\) 7.16700 6.46641i 0.336735 0.303818i
\(454\) 15.1388 + 8.74040i 0.710500 + 0.410207i
\(455\) 4.87871 15.1241i 0.228717 0.709030i
\(456\) −5.53128 1.79100i −0.259026 0.0838715i
\(457\) 3.26014 5.64673i 0.152503 0.264143i −0.779644 0.626223i \(-0.784600\pi\)
0.932147 + 0.362080i \(0.117933\pi\)
\(458\) 7.29619 12.6374i 0.340929 0.590506i
\(459\) −6.63030 + 0.717333i −0.309476 + 0.0334822i
\(460\) 1.89542 1.09432i 0.0883743 0.0510229i
\(461\) 4.69303 + 8.12857i 0.218576 + 0.378585i 0.954373 0.298617i \(-0.0965254\pi\)
−0.735797 + 0.677203i \(0.763192\pi\)
\(462\) 17.0485 7.65467i 0.793170 0.356127i
\(463\) 16.8709 29.2212i 0.784056 1.35803i −0.145505 0.989357i \(-0.546481\pi\)
0.929561 0.368668i \(-0.120186\pi\)
\(464\) 7.18058i 0.333350i
\(465\) −4.18499 + 12.9248i −0.194074 + 0.599372i
\(466\) 3.95324 0.183130
\(467\) 17.9147 + 31.0293i 0.828996 + 1.43586i 0.898827 + 0.438304i \(0.144421\pi\)
−0.0698312 + 0.997559i \(0.522246\pi\)
\(468\) −17.9244 1.84708i −0.828556 0.0853811i
\(469\) 16.9199 15.2998i 0.781289 0.706480i
\(470\) −7.16398 + 4.13613i −0.330450 + 0.190785i
\(471\) 0.150112 0.463600i 0.00691678 0.0213616i
\(472\) 1.09220 0.630579i 0.0502724 0.0290248i
\(473\) −17.2185 + 9.94108i −0.791706 + 0.457092i
\(474\) −6.50168 + 20.0796i −0.298632 + 0.922286i
\(475\) 2.90701 1.67836i 0.133383 0.0770085i
\(476\) 0.713041 + 3.31998i 0.0326822 + 0.152171i
\(477\) −15.2017 + 21.0131i −0.696039 + 0.962124i
\(478\) 9.25590 + 16.0317i 0.423355 + 0.733272i
\(479\) −13.8779 −0.634096 −0.317048 0.948409i \(-0.602692\pi\)
−0.317048 + 0.948409i \(0.602692\pi\)
\(480\) −0.533558 + 1.64782i −0.0243535 + 0.0752124i
\(481\) 34.8566i 1.58932i
\(482\) 10.9683 18.9977i 0.499593 0.865321i
\(483\) −5.86978 + 8.13258i −0.267084 + 0.370045i
\(484\) −2.81540 4.87641i −0.127973 0.221655i
\(485\) 16.8723 9.74120i 0.766130 0.442325i
\(486\) 15.5883 0.0792697i 0.707098 0.00359575i
\(487\) 13.8002 23.9026i 0.625345 1.08313i −0.363129 0.931739i \(-0.618292\pi\)
0.988474 0.151390i \(-0.0483750\pi\)
\(488\) 1.48353 2.56956i 0.0671564 0.116318i
\(489\) 12.4106 + 4.01851i 0.561229 + 0.181723i
\(490\) 6.96469 + 0.702180i 0.314633 + 0.0317213i
\(491\) −18.1949 10.5048i −0.821122 0.474075i 0.0296811 0.999559i \(-0.490551\pi\)
−0.850803 + 0.525484i \(0.823884\pi\)
\(492\) −3.52168 + 3.17743i −0.158770 + 0.143249i
\(493\) 9.21590i 0.415063i
\(494\) −17.4608 10.0810i −0.785597 0.453565i
\(495\) 12.1698 + 1.25408i 0.546993 + 0.0563666i
\(496\) 7.84355i 0.352186i
\(497\) 36.5703 7.85432i 1.64040 0.352314i
\(498\) −15.9642 17.6938i −0.715372 0.792878i
\(499\) 0.395326 0.0176972 0.00884862 0.999961i \(-0.497183\pi\)
0.00884862 + 0.999961i \(0.497183\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) −3.52603 16.5061i −0.157532 0.737439i
\(502\) 13.5769 + 7.83863i 0.605967 + 0.349855i
\(503\) −10.3934 −0.463418 −0.231709 0.972785i \(-0.574432\pi\)
−0.231709 + 0.972785i \(0.574432\pi\)
\(504\) −0.862450 7.89026i −0.0384166 0.351460i
\(505\) −8.53717 −0.379899
\(506\) 7.72968 + 4.46273i 0.343626 + 0.198393i
\(507\) −38.0273 12.3131i −1.68885 0.546843i
\(508\) −5.48127 9.49383i −0.243192 0.421221i
\(509\) −40.5347 −1.79667 −0.898334 0.439313i \(-0.855222\pi\)
−0.898334 + 0.439313i \(0.855222\pi\)
\(510\) −0.684794 + 2.11489i −0.0303232 + 0.0936491i
\(511\) −5.64928 + 17.5129i −0.249910 + 0.774727i
\(512\) 1.00000i 0.0441942i
\(513\) 15.9557 + 7.04567i 0.704460 + 0.311074i
\(514\) −9.16878 5.29360i −0.404417 0.233491i
\(515\) 3.61248i 0.159185i
\(516\) 1.76409 + 8.25806i 0.0776595 + 0.363541i
\(517\) −29.2153 16.8675i −1.28489 0.741831i
\(518\) −15.0115 + 3.22407i −0.659568 + 0.141657i
\(519\) 5.16228 + 24.1657i 0.226599 + 1.06076i
\(520\) −3.00322 + 5.20173i −0.131700 + 0.228111i
\(521\) 4.80694 8.32586i 0.210596 0.364763i −0.741305 0.671168i \(-0.765793\pi\)
0.951901 + 0.306405i \(0.0991263\pi\)
\(522\) 2.20814 21.4283i 0.0966477 0.937889i
\(523\) −14.2342 + 8.21809i −0.622416 + 0.359352i −0.777809 0.628501i \(-0.783669\pi\)
0.155393 + 0.987853i \(0.450336\pi\)
\(524\) 10.3656 + 17.9538i 0.452824 + 0.784313i
\(525\) 3.71581 + 2.68193i 0.162171 + 0.117049i
\(526\) −12.1325 + 21.0140i −0.529001 + 0.916256i
\(527\) 10.0668i 0.438516i
\(528\) −6.90760 + 1.47560i −0.300615 + 0.0642173i
\(529\) 18.2099 0.791733
\(530\) 4.32256 + 7.48689i 0.187760 + 0.325210i
\(531\) −3.45324 + 1.54591i −0.149858 + 0.0670866i
\(532\) 2.72649 8.45218i 0.118208 0.366449i
\(533\) −14.2450 + 8.22434i −0.617019 + 0.356236i
\(534\) 16.9284 + 18.7624i 0.732562 + 0.811930i
\(535\) −11.5596 + 6.67392i −0.499764 + 0.288539i
\(536\) −7.46684 + 4.31098i −0.322518 + 0.186206i
\(537\) −14.5212 + 3.10202i −0.626638 + 0.133862i
\(538\) −15.6684 + 9.04616i −0.675513 + 0.390008i
\(539\) 11.7214 + 26.0292i 0.504877 + 1.12116i
\(540\) 2.09897 4.75335i 0.0903254 0.204552i
\(541\) 16.1578 + 27.9861i 0.694678 + 1.20322i 0.970289 + 0.241948i \(0.0777863\pi\)
−0.275612 + 0.961269i \(0.588880\pi\)
\(542\) −3.54942 −0.152461
\(543\) −1.98346 2.19835i −0.0851183 0.0943403i
\(544\) 1.28345i 0.0550274i
\(545\) −5.38583 + 9.32854i −0.230704 + 0.399591i
\(546\) 2.79126 27.3831i 0.119455 1.17189i
\(547\) −3.41985 5.92335i −0.146222 0.253264i 0.783606 0.621258i \(-0.213378\pi\)
−0.929828 + 0.367994i \(0.880045\pi\)
\(548\) −8.37821 + 4.83716i −0.357899 + 0.206633i
\(549\) −5.21734 + 7.21185i −0.222671 + 0.307794i
\(550\) 2.03904 3.53173i 0.0869451 0.150593i
\(551\) 12.0516 20.8740i 0.513416 0.889262i
\(552\) 2.81456 2.53943i 0.119796 0.108085i
\(553\) −30.6830 9.89766i −1.30477 0.420891i
\(554\) 1.99961 + 1.15448i 0.0849554 + 0.0490490i
\(555\) −9.56264 3.09634i −0.405911 0.131432i
\(556\) 5.27856i 0.223861i
\(557\) −5.91206 3.41333i −0.250502 0.144627i 0.369492 0.929234i \(-0.379532\pi\)
−0.619994 + 0.784607i \(0.712865\pi\)
\(558\) −2.41202 + 23.4067i −0.102109 + 0.990885i
\(559\) 29.2836i 1.23856i
\(560\) −2.51799 0.812247i −0.106404 0.0343237i
\(561\) −8.86555 + 1.89386i −0.374304 + 0.0799587i
\(562\) −0.215510 −0.00909074
\(563\) −5.41857 9.38524i −0.228366 0.395541i 0.728958 0.684558i \(-0.240005\pi\)
−0.957324 + 0.289017i \(0.906671\pi\)
\(564\) −10.6380 + 9.59810i −0.447940 + 0.404153i
\(565\) 2.45659 + 1.41832i 0.103350 + 0.0596690i
\(566\) 15.4484 0.649346
\(567\) 0.147341 + 23.8113i 0.00618775 + 0.999981i
\(568\) −14.1375 −0.593196
\(569\) −12.0811 6.97501i −0.506465 0.292408i 0.224914 0.974379i \(-0.427790\pi\)
−0.731379 + 0.681971i \(0.761123\pi\)
\(570\) 4.31670 3.89473i 0.180806 0.163132i
\(571\) 13.6060 + 23.5662i 0.569393 + 0.986217i 0.996626 + 0.0820756i \(0.0261549\pi\)
−0.427234 + 0.904141i \(0.640512\pi\)
\(572\) −24.4948 −1.02418
\(573\) 15.6874 3.35115i 0.655352 0.139996i
\(574\) −4.85953 5.37410i −0.202833 0.224311i
\(575\) 2.18864i 0.0912726i
\(576\) −0.307516 + 2.98420i −0.0128132 + 0.124342i
\(577\) 13.2438 + 7.64631i 0.551346 + 0.318320i 0.749665 0.661818i \(-0.230215\pi\)
−0.198318 + 0.980138i \(0.563548\pi\)
\(578\) 15.3528i 0.638591i
\(579\) −39.9587 12.9385i −1.66063 0.537704i
\(580\) −6.21856 3.59029i −0.258212 0.149079i
\(581\) 27.0008 24.4155i 1.12018 1.01293i
\(582\) 25.0541 22.6050i 1.03853 0.937006i
\(583\) −17.6278 + 30.5322i −0.730068 + 1.26451i
\(584\) 3.47757 6.02332i 0.143903 0.249247i
\(585\) 10.5618 14.5994i 0.436677 0.603613i
\(586\) 0.601528 0.347292i 0.0248489 0.0143465i
\(587\) −7.16231 12.4055i −0.295620 0.512029i 0.679509 0.733667i \(-0.262193\pi\)
−0.975129 + 0.221638i \(0.928860\pi\)
\(588\) 12.0511 1.33070i 0.496979 0.0548773i
\(589\) −13.1643 + 22.8013i −0.542426 + 0.939509i
\(590\) 1.26116i 0.0519211i
\(591\) 21.9231 + 24.2983i 0.901796 + 0.999500i
\(592\) 5.80320 0.238510
\(593\) 0.594674 + 1.03001i 0.0244203 + 0.0422973i 0.877977 0.478702i \(-0.158893\pi\)
−0.853557 + 0.521000i \(0.825559\pi\)
\(594\) 21.0674 2.27929i 0.864407 0.0935202i
\(595\) −3.23171 1.04248i −0.132487 0.0427374i
\(596\) 3.79127 2.18889i 0.155297 0.0896606i
\(597\) −4.41053 + 0.942177i −0.180511 + 0.0385607i
\(598\) 11.3847 6.57297i 0.465556 0.268789i
\(599\) −39.8059 + 22.9819i −1.62642 + 0.939016i −0.641276 + 0.767310i \(0.721595\pi\)
−0.985148 + 0.171706i \(0.945072\pi\)
\(600\) −1.16028 1.28599i −0.0473681 0.0525001i
\(601\) −14.0543 + 8.11427i −0.573288 + 0.330988i −0.758462 0.651718i \(-0.774049\pi\)
0.185173 + 0.982706i \(0.440715\pi\)
\(602\) −12.6114 + 2.70859i −0.514003 + 0.110394i
\(603\) 23.6082 10.5687i 0.961401 0.430389i
\(604\) −2.78658 4.82650i −0.113384 0.196387i
\(605\) 5.63079 0.228924
\(606\) −14.4606 + 3.08906i −0.587420 + 0.125485i
\(607\) 6.95304i 0.282215i −0.989994 0.141108i \(-0.954934\pi\)
0.989994 0.141108i \(-0.0450664\pi\)
\(608\) −1.67836 + 2.90701i −0.0680665 + 0.117895i
\(609\) 32.7359 + 3.33690i 1.32653 + 0.135218i
\(610\) 1.48353 + 2.56956i 0.0600665 + 0.104038i
\(611\) −43.0300 + 24.8434i −1.74081 + 1.00506i
\(612\) −0.394681 + 3.83006i −0.0159540 + 0.154821i
\(613\) −20.0114 + 34.6608i −0.808253 + 1.39993i 0.105821 + 0.994385i \(0.466253\pi\)
−0.914073 + 0.405549i \(0.867080\pi\)
\(614\) 17.0398 29.5138i 0.687670 1.19108i
\(615\) −0.990892 4.63858i −0.0399566 0.187046i
\(616\) −2.26565 10.5490i −0.0912856 0.425033i
\(617\) 7.94775 + 4.58864i 0.319964 + 0.184732i 0.651377 0.758754i \(-0.274192\pi\)
−0.331412 + 0.943486i \(0.607525\pi\)
\(618\) −1.30713 6.11893i −0.0525803 0.246140i
\(619\) 38.3260i 1.54045i −0.637770 0.770227i \(-0.720143\pi\)
0.637770 0.770227i \(-0.279857\pi\)
\(620\) 6.79271 + 3.92178i 0.272802 + 0.157502i
\(621\) −9.18011 + 6.71263i −0.368385 + 0.269369i
\(622\) 8.48761i 0.340322i
\(623\) −28.6316 + 25.8901i −1.14710 + 1.03726i
\(624\) −3.20478 + 9.89754i −0.128294 + 0.396219i
\(625\) 1.00000 0.0400000
\(626\) 13.6399 + 23.6250i 0.545160 + 0.944245i
\(627\) 22.5570 + 7.30387i 0.900842 + 0.291689i
\(628\) −0.243649 0.140671i −0.00972264 0.00561337i
\(629\) 7.44811 0.296976
\(630\) 7.26439 + 3.19823i 0.289420 + 0.127420i
\(631\) −21.4220 −0.852797 −0.426399 0.904535i \(-0.640218\pi\)
−0.426399 + 0.904535i \(0.640218\pi\)
\(632\) 10.5530 + 6.09277i 0.419775 + 0.242357i
\(633\) −2.26157 10.5869i −0.0898893 0.420791i
\(634\) 0.0225614 + 0.0390775i 0.000896027 + 0.00155196i
\(635\) 10.9625 0.435035
\(636\) 10.0307 + 11.1175i 0.397744 + 0.440837i
\(637\) 41.8330 + 4.21760i 1.65748 + 0.167108i
\(638\) 29.2830i 1.15933i
\(639\) 42.1891 + 4.34750i 1.66897 + 0.171985i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 23.8349i 0.941421i 0.882288 + 0.470710i \(0.156002\pi\)
−0.882288 + 0.470710i \(0.843998\pi\)
\(642\) −17.1651 + 15.4872i −0.677454 + 0.611231i
\(643\) 10.6419 + 6.14411i 0.419676 + 0.242300i 0.694939 0.719069i \(-0.255432\pi\)
−0.275263 + 0.961369i \(0.588765\pi\)
\(644\) 3.88378 + 4.29503i 0.153042 + 0.169248i
\(645\) −8.03373 2.60129i −0.316328 0.102426i
\(646\) −2.15409 + 3.73099i −0.0847516 + 0.146794i
\(647\) 8.50175 14.7255i 0.334238 0.578917i −0.649100 0.760703i \(-0.724854\pi\)
0.983338 + 0.181786i \(0.0581877\pi\)
\(648\) 1.83538 8.81087i 0.0721004 0.346124i
\(649\) −4.45407 + 2.57156i −0.174837 + 0.100942i
\(650\) −3.00322 5.20173i −0.117796 0.204029i
\(651\) −35.7584 3.64499i −1.40148 0.142858i
\(652\) 3.76577 6.52251i 0.147479 0.255441i
\(653\) 11.0926i 0.434087i 0.976162 + 0.217044i \(0.0696414\pi\)
−0.976162 + 0.217044i \(0.930359\pi\)
\(654\) −5.74730 + 17.7498i −0.224737 + 0.694071i
\(655\) −20.7312 −0.810035
\(656\) 1.36925 + 2.37162i 0.0534604 + 0.0925961i
\(657\) −12.2300 + 16.9054i −0.477138 + 0.659542i
\(658\) −14.6793 16.2336i −0.572257 0.632853i
\(659\) −39.7712 + 22.9619i −1.54927 + 0.894470i −0.551069 + 0.834459i \(0.685780\pi\)
−0.998198 + 0.0600103i \(0.980887\pi\)
\(660\) 2.17589 6.71996i 0.0846966 0.261574i
\(661\) −18.0299 + 10.4096i −0.701281 + 0.404885i −0.807824 0.589423i \(-0.799355\pi\)
0.106543 + 0.994308i \(0.466022\pi\)
\(662\) −15.9913 + 9.23258i −0.621519 + 0.358834i
\(663\) −4.11317 + 12.7030i −0.159742 + 0.493343i
\(664\) −11.9156 + 6.87948i −0.462415 + 0.266975i
\(665\) 5.95656 + 6.58730i 0.230986 + 0.255444i
\(666\) −17.3179 1.78458i −0.671055 0.0691509i
\(667\) 7.85785 + 13.6102i 0.304257 + 0.526989i
\(668\) −9.74482 −0.377039
\(669\) −2.61423 + 8.07370i −0.101072 + 0.312147i
\(670\) 8.62197i 0.333096i
\(671\) −6.04998 + 10.4789i −0.233557 + 0.404532i
\(672\) −4.55895 0.464712i −0.175865 0.0179267i
\(673\) 14.6307 + 25.3410i 0.563970 + 0.976825i 0.997145 + 0.0755149i \(0.0240600\pi\)
−0.433175 + 0.901310i \(0.642607\pi\)
\(674\) 19.9693 11.5293i 0.769190 0.444092i
\(675\) 3.06703 + 4.19444i 0.118050 + 0.161444i
\(676\) −11.5387 + 19.9855i −0.443795 + 0.768675i
\(677\) 12.3058 21.3142i 0.472949 0.819172i −0.526571 0.850131i \(-0.676523\pi\)
0.999521 + 0.0309588i \(0.00985606\pi\)
\(678\) 4.67426 + 1.51351i 0.179514 + 0.0581258i
\(679\) 34.5718 + 38.2326i 1.32675 + 1.46723i
\(680\) 1.11150 + 0.641724i 0.0426240 + 0.0246090i
\(681\) −22.4801 + 20.2826i −0.861437 + 0.777230i
\(682\) 31.9867i 1.22483i
\(683\) −4.84830 2.79917i −0.185515 0.107107i 0.404366 0.914597i \(-0.367492\pi\)
−0.589881 + 0.807490i \(0.700825\pi\)
\(684\) 5.90251 8.15896i 0.225688 0.311966i
\(685\) 9.67432i 0.369637i
\(686\) 2.05298 + 18.4061i 0.0783831 + 0.702749i
\(687\) 16.9312 + 18.7656i 0.645966 + 0.715952i
\(688\) 4.87537 0.185872
\(689\) 25.9632 + 44.9696i 0.989119 + 1.71320i
\(690\) 0.791930 + 3.70719i 0.0301483 + 0.141130i
\(691\) −28.6519 16.5422i −1.08997 0.629294i −0.156401 0.987694i \(-0.549989\pi\)
−0.933568 + 0.358399i \(0.883323\pi\)
\(692\) 14.2669 0.542346
\(693\) 3.51715 + 32.1772i 0.133605 + 1.22231i
\(694\) −22.3311 −0.847677
\(695\) 4.57137 + 2.63928i 0.173402 + 0.100114i
\(696\) −11.8323 3.83125i −0.448503 0.145223i
\(697\) 1.75737 + 3.04385i 0.0665650 + 0.115294i
\(698\) −9.25927 −0.350469
\(699\) −2.10928 + 6.51423i −0.0797803 + 0.246391i
\(700\) 1.96242 1.77452i 0.0741725 0.0670704i
\(701\) 3.12417i 0.117998i 0.998258 + 0.0589992i \(0.0187909\pi\)
−0.998258 + 0.0589992i \(0.981209\pi\)
\(702\) 12.6074 28.5507i 0.475834 1.07758i
\(703\) −16.8699 9.73987i −0.636262 0.367346i
\(704\) 4.07809i 0.153699i
\(705\) −2.99320 14.0118i −0.112731 0.527716i
\(706\) 11.4201 + 6.59338i 0.429800 + 0.248145i
\(707\) −4.74297 22.0836i −0.178378 0.830541i
\(708\) 0.456333 + 2.13619i 0.0171500 + 0.0802831i
\(709\) 21.7411 37.6567i 0.816504 1.41423i −0.0917396 0.995783i \(-0.529243\pi\)
0.908243 0.418443i \(-0.137424\pi\)
\(710\) 7.06874 12.2434i 0.265285 0.459487i
\(711\) −29.6186 21.4272i −1.11078 0.803584i
\(712\) 12.6353 7.29497i 0.473526 0.273391i
\(713\) −8.58336 14.8668i −0.321449 0.556766i
\(714\) −5.85118 0.596434i −0.218975 0.0223210i
\(715\) 12.2474 21.2131i 0.458026 0.793325i
\(716\) 8.57300i 0.320388i
\(717\) −31.3559 + 6.69824i −1.17101 + 0.250151i
\(718\) 11.3310 0.422869
\(719\) −2.21764 3.84106i −0.0827039 0.143247i 0.821707 0.569911i \(-0.193022\pi\)
−0.904411 + 0.426663i \(0.859689\pi\)
\(720\) −2.43063 1.75842i −0.0905843 0.0655323i
\(721\) 9.34462 2.00697i 0.348012 0.0747435i
\(722\) −6.69647 + 3.86621i −0.249217 + 0.143885i
\(723\) 25.4526 + 28.2102i 0.946591 + 1.04915i
\(724\) −1.48044 + 0.854734i −0.0550202 + 0.0317659i
\(725\) 6.21856 3.59029i 0.230952 0.133340i
\(726\) 9.53763 2.03743i 0.353975 0.0756160i
\(727\) 36.5068 21.0772i 1.35396 0.781711i 0.365162 0.930944i \(-0.381014\pi\)
0.988802 + 0.149233i \(0.0476803\pi\)
\(728\) −15.1241 4.87871i −0.560538 0.180817i
\(729\) −8.18661 + 25.7290i −0.303208 + 0.952924i
\(730\) 3.47757 + 6.02332i 0.128711 + 0.222933i
\(731\) 6.25728 0.231434
\(732\) 3.44262 + 3.81561i 0.127243 + 0.141029i
\(733\) 46.2254i 1.70738i −0.520785 0.853688i \(-0.674361\pi\)
0.520785 0.853688i \(-0.325639\pi\)
\(734\) 12.1737 21.0854i 0.449339 0.778278i
\(735\) −4.87313 + 11.1019i −0.179748 + 0.409500i
\(736\) −1.09432 1.89542i −0.0403372 0.0698660i
\(737\) 30.4504 17.5806i 1.12166 0.647589i
\(738\) −3.35681 7.49844i −0.123566 0.276021i
\(739\) −14.2820 + 24.7371i −0.525371 + 0.909969i 0.474193 + 0.880421i \(0.342740\pi\)
−0.999563 + 0.0295478i \(0.990593\pi\)
\(740\) −2.90160 + 5.02572i −0.106665 + 0.184749i
\(741\) 25.9280 23.3934i 0.952488 0.859380i
\(742\) −16.9654 + 15.3409i −0.622818 + 0.563183i
\(743\) 3.36454 + 1.94252i 0.123433 + 0.0712640i 0.560445 0.828192i \(-0.310630\pi\)
−0.437012 + 0.899456i \(0.643963\pi\)
\(744\) 12.9248 + 4.18499i 0.473845 + 0.153429i
\(745\) 4.37779i 0.160390i
\(746\) −23.7833 13.7313i −0.870767 0.502738i
\(747\) 37.6741 16.8655i 1.37842 0.617075i
\(748\) 5.23401i 0.191375i
\(749\) −23.6860 26.1941i −0.865467 0.957111i
\(750\) 1.69383 0.361836i 0.0618501 0.0132124i
\(751\) 21.2885 0.776829 0.388415 0.921485i \(-0.373023\pi\)
0.388415 + 0.921485i \(0.373023\pi\)
\(752\) 4.13613 + 7.16398i 0.150829 + 0.261244i
\(753\) −20.1607 + 18.1900i −0.734698 + 0.662879i
\(754\) −37.3514 21.5649i −1.36026 0.785346i
\(755\) 5.57316 0.202828
\(756\) 13.4619 + 2.78874i 0.489605 + 0.101426i
\(757\) −42.1251 −1.53106 −0.765531 0.643399i \(-0.777524\pi\)
−0.765531 + 0.643399i \(0.777524\pi\)
\(758\) 27.7156 + 16.0016i 1.00668 + 0.581205i
\(759\) −11.4780 + 10.3560i −0.416626 + 0.375899i
\(760\) −1.67836 2.90701i −0.0608806 0.105448i
\(761\) 48.8379 1.77037 0.885187 0.465236i \(-0.154030\pi\)
0.885187 + 0.465236i \(0.154030\pi\)
\(762\) 18.5687 3.96665i 0.672674 0.143696i
\(763\) −27.1229 8.74925i −0.981915 0.316744i
\(764\) 9.26150i 0.335069i
\(765\) −3.11959 2.25684i −0.112789 0.0815961i
\(766\) 12.3587 + 7.13527i 0.446536 + 0.257808i