Properties

Label 280.2.ba.b.19.3
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38731 - 0.274535i) q^{2} +(1.60233 + 2.77531i) q^{3} +(1.84926 + 0.761731i) q^{4} +(-2.12896 - 0.683763i) q^{5} +(-1.46101 - 4.29012i) q^{6} +(-2.23600 + 1.41432i) q^{7} +(-2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +O(q^{10})\) \(q+(-1.38731 - 0.274535i) q^{2} +(1.60233 + 2.77531i) q^{3} +(1.84926 + 0.761731i) q^{4} +(-2.12896 - 0.683763i) q^{5} +(-1.46101 - 4.29012i) q^{6} +(-2.23600 + 1.41432i) q^{7} +(-2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +(2.76581 + 1.53307i) q^{10} +(-1.23701 - 2.14257i) q^{11} +(0.849080 + 6.35282i) q^{12} +2.90697i q^{13} +(3.49031 - 1.34824i) q^{14} +(-1.51364 - 7.00414i) q^{15} +(2.83953 + 2.81728i) q^{16} +(1.21515 + 2.10471i) q^{17} +(6.77119 - 7.73639i) q^{18} +(-3.38329 - 1.95334i) q^{19} +(-3.41616 - 2.88615i) q^{20} +(-7.50799 - 3.93940i) q^{21} +(1.12791 + 3.31201i) q^{22} +(2.86568 - 4.96350i) q^{23} +(0.566137 - 9.04644i) q^{24} +(4.06494 + 2.91141i) q^{25} +(0.798065 - 4.03287i) q^{26} -13.6833 q^{27} +(-5.21228 + 0.912214i) q^{28} +4.71148i q^{29} +(0.176998 + 10.1325i) q^{30} +(3.92617 + 6.80032i) q^{31} +(-3.16587 - 4.68799i) q^{32} +(3.96419 - 6.86619i) q^{33} +(-1.10798 - 3.25349i) q^{34} +(5.72741 - 1.48213i) q^{35} +(-11.5177 + 8.87385i) q^{36} +(-1.67865 + 2.90751i) q^{37} +(4.15741 + 3.63872i) q^{38} +(-8.06775 + 4.65792i) q^{39} +(3.94692 + 4.94184i) q^{40} +5.75850i q^{41} +(9.33441 + 7.52638i) q^{42} +0.763818i q^{43} +(-0.655496 - 4.90443i) q^{44} +(12.0435 - 10.9182i) q^{45} +(-5.33824 + 6.09918i) q^{46} +(2.86896 + 1.65640i) q^{47} +(-3.26897 + 12.3948i) q^{48} +(2.99940 - 6.32484i) q^{49} +(-4.84005 - 5.15499i) q^{50} +(-3.89415 + 6.74487i) q^{51} +(-2.21433 + 5.37574i) q^{52} +(0.474139 + 0.821232i) q^{53} +(18.9830 + 3.75656i) q^{54} +(1.16854 + 5.40726i) q^{55} +(7.48149 + 0.165431i) q^{56} -12.5196i q^{57} +(1.29347 - 6.53629i) q^{58} +(-6.41474 + 3.70355i) q^{59} +(2.53617 - 14.1055i) q^{60} +(0.145254 - 0.251587i) q^{61} +(-3.57989 - 10.5120i) q^{62} +(-0.776680 - 19.2185i) q^{63} +(3.10502 + 7.37284i) q^{64} +(1.98768 - 6.18882i) q^{65} +(-7.38458 + 8.43722i) q^{66} +(4.12005 - 2.37871i) q^{67} +(0.643915 + 4.81778i) q^{68} +18.3670 q^{69} +(-8.35260 + 0.483803i) q^{70} -7.87114i q^{71} +(18.4147 - 9.14879i) q^{72} +(0.915891 + 1.58637i) q^{73} +(3.12702 - 3.57277i) q^{74} +(-1.56671 + 15.9465i) q^{75} +(-4.76866 - 6.18939i) q^{76} +(5.79623 + 3.04125i) q^{77} +(12.4712 - 4.24710i) q^{78} +(1.69463 + 0.978393i) q^{79} +(-4.11890 - 7.93944i) q^{80} +(-11.0205 - 19.0880i) q^{81} +(1.58091 - 7.98883i) q^{82} +6.61627 q^{83} +(-10.8835 - 13.0041i) q^{84} +(-1.14789 - 5.31172i) q^{85} +(0.209695 - 1.05965i) q^{86} +(-13.0758 + 7.54934i) q^{87} +(-0.437062 + 6.98393i) q^{88} +(3.72584 + 2.15111i) q^{89} +(-19.7054 + 11.8406i) q^{90} +(-4.11138 - 6.49998i) q^{91} +(9.08023 - 6.99593i) q^{92} +(-12.5820 + 21.7927i) q^{93} +(-3.52540 - 3.08557i) q^{94} +(5.86726 + 6.47195i) q^{95} +(7.93789 - 16.2980i) q^{96} +15.9453 q^{97} +(-5.89749 + 7.95107i) q^{98} +17.9857 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38731 0.274535i −0.980977 0.194126i
\(3\) 1.60233 + 2.77531i 0.925105 + 1.60233i 0.791392 + 0.611308i \(0.209356\pi\)
0.133712 + 0.991020i \(0.457310\pi\)
\(4\) 1.84926 + 0.761731i 0.924630 + 0.380866i
\(5\) −2.12896 0.683763i −0.952100 0.305788i
\(6\) −1.46101 4.29012i −0.596453 1.75143i
\(7\) −2.23600 + 1.41432i −0.845129 + 0.534562i
\(8\) −2.35638 1.56444i −0.833105 0.553115i
\(9\) −3.63491 + 6.29586i −1.21164 + 2.09862i
\(10\) 2.76581 + 1.53307i 0.874626 + 0.484798i
\(11\) −1.23701 2.14257i −0.372973 0.646008i 0.617049 0.786925i \(-0.288328\pi\)
−0.990021 + 0.140917i \(0.954995\pi\)
\(12\) 0.849080 + 6.35282i 0.245108 + 1.83390i
\(13\) 2.90697i 0.806248i 0.915145 + 0.403124i \(0.132076\pi\)
−0.915145 + 0.403124i \(0.867924\pi\)
\(14\) 3.49031 1.34824i 0.932824 0.360332i
\(15\) −1.51364 7.00414i −0.390819 1.80846i
\(16\) 2.83953 + 2.81728i 0.709883 + 0.704320i
\(17\) 1.21515 + 2.10471i 0.294718 + 0.510467i 0.974919 0.222559i \(-0.0714409\pi\)
−0.680201 + 0.733026i \(0.738108\pi\)
\(18\) 6.77119 7.73639i 1.59598 1.82349i
\(19\) −3.38329 1.95334i −0.776179 0.448127i 0.0588952 0.998264i \(-0.481242\pi\)
−0.835075 + 0.550137i \(0.814576\pi\)
\(20\) −3.41616 2.88615i −0.763876 0.645363i
\(21\) −7.50799 3.93940i −1.63838 0.859648i
\(22\) 1.12791 + 3.31201i 0.240471 + 0.706122i
\(23\) 2.86568 4.96350i 0.597535 1.03496i −0.395649 0.918402i \(-0.629480\pi\)
0.993184 0.116559i \(-0.0371864\pi\)
\(24\) 0.566137 9.04644i 0.115562 1.84660i
\(25\) 4.06494 + 2.91141i 0.812987 + 0.582281i
\(26\) 0.798065 4.03287i 0.156513 0.790910i
\(27\) −13.6833 −2.63336
\(28\) −5.21228 + 0.912214i −0.985028 + 0.172392i
\(29\) 4.71148i 0.874900i 0.899243 + 0.437450i \(0.144118\pi\)
−0.899243 + 0.437450i \(0.855882\pi\)
\(30\) 0.176998 + 10.1325i 0.0323152 + 1.84993i
\(31\) 3.92617 + 6.80032i 0.705161 + 1.22137i 0.966634 + 0.256163i \(0.0824584\pi\)
−0.261473 + 0.965211i \(0.584208\pi\)
\(32\) −3.16587 4.68799i −0.559652 0.828728i
\(33\) 3.96419 6.86619i 0.690078 1.19525i
\(34\) −1.10798 3.25349i −0.190017 0.557968i
\(35\) 5.72741 1.48213i 0.968110 0.250526i
\(36\) −11.5177 + 8.87385i −1.91961 + 1.47898i
\(37\) −1.67865 + 2.90751i −0.275969 + 0.477991i −0.970379 0.241588i \(-0.922332\pi\)
0.694411 + 0.719579i \(0.255665\pi\)
\(38\) 4.15741 + 3.63872i 0.674421 + 0.590279i
\(39\) −8.06775 + 4.65792i −1.29187 + 0.745864i
\(40\) 3.94692 + 4.94184i 0.624063 + 0.781374i
\(41\) 5.75850i 0.899327i 0.893198 + 0.449664i \(0.148456\pi\)
−0.893198 + 0.449664i \(0.851544\pi\)
\(42\) 9.33441 + 7.52638i 1.44033 + 1.16135i
\(43\) 0.763818i 0.116481i 0.998303 + 0.0582406i \(0.0185491\pi\)
−0.998303 + 0.0582406i \(0.981451\pi\)
\(44\) −0.655496 4.90443i −0.0988198 0.739371i
\(45\) 12.0435 10.9182i 1.79533 1.62759i
\(46\) −5.33824 + 6.09918i −0.787080 + 0.899275i
\(47\) 2.86896 + 1.65640i 0.418481 + 0.241610i 0.694427 0.719563i \(-0.255658\pi\)
−0.275946 + 0.961173i \(0.588991\pi\)
\(48\) −3.26897 + 12.3948i −0.471836 + 1.78904i
\(49\) 2.99940 6.32484i 0.428486 0.903548i
\(50\) −4.84005 5.15499i −0.684486 0.729026i
\(51\) −3.89415 + 6.74487i −0.545290 + 0.944471i
\(52\) −2.21433 + 5.37574i −0.307072 + 0.745481i
\(53\) 0.474139 + 0.821232i 0.0651280 + 0.112805i 0.896751 0.442536i \(-0.145921\pi\)
−0.831623 + 0.555341i \(0.812588\pi\)
\(54\) 18.9830 + 3.75656i 2.58326 + 0.511203i
\(55\) 1.16854 + 5.40726i 0.157566 + 0.729114i
\(56\) 7.48149 + 0.165431i 0.999756 + 0.0221066i
\(57\) 12.5196i 1.65826i
\(58\) 1.29347 6.53629i 0.169841 0.858257i
\(59\) −6.41474 + 3.70355i −0.835128 + 0.482161i −0.855605 0.517629i \(-0.826815\pi\)
0.0204773 + 0.999790i \(0.493481\pi\)
\(60\) 2.53617 14.1055i 0.327418 1.82101i
\(61\) 0.145254 0.251587i 0.0185978 0.0322124i −0.856577 0.516020i \(-0.827413\pi\)
0.875175 + 0.483807i \(0.160746\pi\)
\(62\) −3.57989 10.5120i −0.454646 1.33503i
\(63\) −0.776680 19.2185i −0.0978524 2.42130i
\(64\) 3.10502 + 7.37284i 0.388128 + 0.921605i
\(65\) 1.98768 6.18882i 0.246541 0.767628i
\(66\) −7.38458 + 8.43722i −0.908979 + 1.03855i
\(67\) 4.12005 2.37871i 0.503344 0.290606i −0.226749 0.973953i \(-0.572810\pi\)
0.730094 + 0.683347i \(0.239476\pi\)
\(68\) 0.643915 + 4.81778i 0.0780861 + 0.584241i
\(69\) 18.3670 2.21113
\(70\) −8.35260 + 0.483803i −0.998327 + 0.0578255i
\(71\) 7.87114i 0.934132i −0.884222 0.467066i \(-0.845311\pi\)
0.884222 0.467066i \(-0.154689\pi\)
\(72\) 18.4147 9.14879i 2.17020 1.07819i
\(73\) 0.915891 + 1.58637i 0.107197 + 0.185671i 0.914634 0.404284i \(-0.132479\pi\)
−0.807437 + 0.589954i \(0.799146\pi\)
\(74\) 3.12702 3.57277i 0.363509 0.415326i
\(75\) −1.56671 + 15.9465i −0.180908 + 1.84134i
\(76\) −4.76866 6.18939i −0.547003 0.709972i
\(77\) 5.79623 + 3.04125i 0.660541 + 0.346583i
\(78\) 12.4712 4.24710i 1.41209 0.480889i
\(79\) 1.69463 + 0.978393i 0.190660 + 0.110078i 0.592292 0.805724i \(-0.298223\pi\)
−0.401631 + 0.915801i \(0.631557\pi\)
\(80\) −4.11890 7.93944i −0.460507 0.887656i
\(81\) −11.0205 19.0880i −1.22449 2.12089i
\(82\) 1.58091 7.98883i 0.174583 0.882219i
\(83\) 6.61627 0.726230 0.363115 0.931744i \(-0.381713\pi\)
0.363115 + 0.931744i \(0.381713\pi\)
\(84\) −10.8835 13.0041i −1.18748 1.41886i
\(85\) −1.14789 5.31172i −0.124506 0.576137i
\(86\) 0.209695 1.05965i 0.0226120 0.114265i
\(87\) −13.0758 + 7.54934i −1.40188 + 0.809374i
\(88\) −0.437062 + 6.98393i −0.0465910 + 0.744489i
\(89\) 3.72584 + 2.15111i 0.394938 + 0.228018i 0.684298 0.729203i \(-0.260109\pi\)
−0.289359 + 0.957221i \(0.593442\pi\)
\(90\) −19.7054 + 11.8406i −2.07714 + 1.24811i
\(91\) −4.11138 6.49998i −0.430990 0.681383i
\(92\) 9.08023 6.99593i 0.946680 0.729376i
\(93\) −12.5820 + 21.7927i −1.30469 + 2.25980i
\(94\) −3.52540 3.08557i −0.363617 0.318252i
\(95\) 5.86726 + 6.47195i 0.601968 + 0.664008i
\(96\) 7.93789 16.2980i 0.810158 1.66341i
\(97\) 15.9453 1.61900 0.809498 0.587123i \(-0.199739\pi\)
0.809498 + 0.587123i \(0.199739\pi\)
\(98\) −5.89749 + 7.95107i −0.595737 + 0.803180i
\(99\) 17.9857 1.80763
\(100\) 5.29942 + 8.48034i 0.529942 + 0.848034i
\(101\) 6.08259 + 10.5354i 0.605240 + 1.04831i 0.992013 + 0.126132i \(0.0402564\pi\)
−0.386773 + 0.922175i \(0.626410\pi\)
\(102\) 7.25410 8.28815i 0.718263 0.820649i
\(103\) 10.9386 + 6.31541i 1.07781 + 0.622276i 0.930306 0.366785i \(-0.119542\pi\)
0.147507 + 0.989061i \(0.452875\pi\)
\(104\) 4.54779 6.84991i 0.445948 0.671689i
\(105\) 13.2906 + 13.5205i 1.29703 + 1.31947i
\(106\) −0.432320 1.26947i −0.0419907 0.123302i
\(107\) −8.49616 4.90526i −0.821355 0.474209i 0.0295287 0.999564i \(-0.490599\pi\)
−0.850883 + 0.525355i \(0.823933\pi\)
\(108\) −25.3040 10.4230i −2.43488 1.00296i
\(109\) −2.87979 + 1.66265i −0.275834 + 0.159253i −0.631536 0.775347i \(-0.717575\pi\)
0.355702 + 0.934599i \(0.384242\pi\)
\(110\) −0.136644 7.82235i −0.0130285 0.745832i
\(111\) −10.7590 −1.02120
\(112\) −10.3337 2.28344i −0.976445 0.215764i
\(113\) 6.24090i 0.587095i 0.955945 + 0.293547i \(0.0948358\pi\)
−0.955945 + 0.293547i \(0.905164\pi\)
\(114\) −3.43707 + 17.3685i −0.321911 + 1.62671i
\(115\) −9.49476 + 8.60764i −0.885391 + 0.802667i
\(116\) −3.58888 + 8.71276i −0.333219 + 0.808959i
\(117\) −18.3018 10.5666i −1.69201 0.976880i
\(118\) 9.91599 3.37690i 0.912841 0.310869i
\(119\) −5.69382 2.98751i −0.521951 0.273865i
\(120\) −7.39090 + 18.8724i −0.674694 + 1.72281i
\(121\) 2.43961 4.22553i 0.221783 0.384139i
\(122\) −0.270582 + 0.309152i −0.0244973 + 0.0279893i
\(123\) −15.9817 + 9.22701i −1.44102 + 0.831972i
\(124\) 2.08049 + 15.5663i 0.186834 + 1.39789i
\(125\) −6.66337 8.97772i −0.595990 0.802992i
\(126\) −4.19865 + 26.8752i −0.374046 + 2.39423i
\(127\) −17.2612 −1.53169 −0.765843 0.643027i \(-0.777678\pi\)
−0.765843 + 0.643027i \(0.777678\pi\)
\(128\) −2.28353 11.0809i −0.201837 0.979419i
\(129\) −2.11984 + 1.22389i −0.186641 + 0.107757i
\(130\) −4.45657 + 8.04012i −0.390867 + 0.705165i
\(131\) 1.77736 + 1.02616i 0.155289 + 0.0896562i 0.575631 0.817710i \(-0.304757\pi\)
−0.420342 + 0.907366i \(0.638090\pi\)
\(132\) 12.5610 9.67772i 1.09330 0.842337i
\(133\) 10.3277 0.417375i 0.895524 0.0361910i
\(134\) −6.36883 + 2.16891i −0.550183 + 0.187366i
\(135\) 29.1313 + 9.35616i 2.50722 + 0.805250i
\(136\) 0.429340 6.86053i 0.0368156 0.588285i
\(137\) −7.40950 + 4.27788i −0.633036 + 0.365484i −0.781927 0.623370i \(-0.785763\pi\)
0.148891 + 0.988854i \(0.452430\pi\)
\(138\) −25.4808 5.04239i −2.16907 0.429237i
\(139\) 13.3454i 1.13194i −0.824426 0.565970i \(-0.808502\pi\)
0.824426 0.565970i \(-0.191498\pi\)
\(140\) 11.7205 + 1.62190i 0.990561 + 0.137075i
\(141\) 10.6164i 0.894059i
\(142\) −2.16090 + 10.9197i −0.181339 + 0.916362i
\(143\) 6.22837 3.59595i 0.520842 0.300708i
\(144\) −28.0586 + 7.63671i −2.33822 + 0.636392i
\(145\) 3.22154 10.0306i 0.267534 0.832992i
\(146\) −0.835111 2.45223i −0.0691143 0.202948i
\(147\) 22.3594 1.81019i 1.84418 0.149302i
\(148\) −5.31900 + 4.09806i −0.437219 + 0.336859i
\(149\) −10.0494 5.80204i −0.823281 0.475321i 0.0282658 0.999600i \(-0.491002\pi\)
−0.851547 + 0.524279i \(0.824335\pi\)
\(150\) 6.55139 21.6926i 0.534918 1.77120i
\(151\) 13.4070 7.74053i 1.09104 0.629915i 0.157190 0.987568i \(-0.449756\pi\)
0.933854 + 0.357653i \(0.116423\pi\)
\(152\) 4.91640 + 9.89578i 0.398773 + 0.802653i
\(153\) −17.6679 −1.42837
\(154\) −7.20624 5.81043i −0.580695 0.468217i
\(155\) −3.70884 17.1622i −0.297902 1.37850i
\(156\) −18.4675 + 2.46825i −1.47858 + 0.197618i
\(157\) 1.73719 1.00296i 0.138643 0.0800453i −0.429074 0.903269i \(-0.641160\pi\)
0.567717 + 0.823224i \(0.307827\pi\)
\(158\) −2.08237 1.82257i −0.165664 0.144996i
\(159\) −1.51945 + 2.63177i −0.120500 + 0.208713i
\(160\) 3.53453 + 12.1452i 0.279429 + 0.960166i
\(161\) 0.612315 + 15.1514i 0.0482572 + 1.19409i
\(162\) 10.0485 + 29.5065i 0.789482 + 2.31825i
\(163\) 14.2898 + 8.25020i 1.11926 + 0.646205i 0.941212 0.337816i \(-0.109688\pi\)
0.178048 + 0.984022i \(0.443022\pi\)
\(164\) −4.38643 + 10.6490i −0.342523 + 0.831545i
\(165\) −13.1345 + 11.9073i −1.02252 + 0.926979i
\(166\) −9.17883 1.81640i −0.712415 0.140980i
\(167\) 4.67196i 0.361527i −0.983527 0.180763i \(-0.942143\pi\)
0.983527 0.180763i \(-0.0578568\pi\)
\(168\) 11.5287 + 21.0286i 0.889457 + 1.62239i
\(169\) 4.54954 0.349965
\(170\) 0.134229 + 7.68414i 0.0102949 + 0.589346i
\(171\) 24.5959 14.2005i 1.88090 1.08594i
\(172\) −0.581824 + 1.41250i −0.0443637 + 0.107702i
\(173\) −6.44746 3.72244i −0.490191 0.283012i 0.234463 0.972125i \(-0.424667\pi\)
−0.724654 + 0.689113i \(0.758000\pi\)
\(174\) 20.2128 6.88350i 1.53233 0.521837i
\(175\) −13.2069 0.760790i −0.998345 0.0575103i
\(176\) 2.52367 9.56888i 0.190229 0.721282i
\(177\) −20.5570 11.8686i −1.54516 0.892099i
\(178\) −4.57834 4.00714i −0.343161 0.300348i
\(179\) −4.86291 8.42281i −0.363471 0.629550i 0.625059 0.780578i \(-0.285075\pi\)
−0.988530 + 0.151028i \(0.951742\pi\)
\(180\) 30.5882 11.0167i 2.27991 0.821138i
\(181\) 5.72502 0.425537 0.212769 0.977103i \(-0.431752\pi\)
0.212769 + 0.977103i \(0.431752\pi\)
\(182\) 3.91929 + 10.1462i 0.290517 + 0.752087i
\(183\) 0.930977 0.0688198
\(184\) −14.5177 + 7.21268i −1.07026 + 0.531726i
\(185\) 5.56183 5.04217i 0.408914 0.370708i
\(186\) 23.4380 26.7790i 1.71856 1.96353i
\(187\) 3.00632 5.20709i 0.219844 0.380780i
\(188\) 4.04373 + 5.24848i 0.294919 + 0.382785i
\(189\) 30.5959 19.3526i 2.22553 1.40769i
\(190\) −6.36293 10.5894i −0.461616 0.768234i
\(191\) 2.66537 + 1.53885i 0.192860 + 0.111347i 0.593321 0.804966i \(-0.297817\pi\)
−0.400461 + 0.916314i \(0.631150\pi\)
\(192\) −15.4867 + 20.4311i −1.11766 + 1.47449i
\(193\) −16.3501 + 9.43976i −1.17691 + 0.679488i −0.955297 0.295647i \(-0.904465\pi\)
−0.221611 + 0.975135i \(0.571132\pi\)
\(194\) −22.1210 4.37753i −1.58820 0.314289i
\(195\) 20.3608 4.40009i 1.45807 0.315097i
\(196\) 10.3645 9.41154i 0.740322 0.672253i
\(197\) −4.81372 −0.342964 −0.171482 0.985187i \(-0.554855\pi\)
−0.171482 + 0.985187i \(0.554855\pi\)
\(198\) −24.9518 4.93771i −1.77324 0.350908i
\(199\) −12.0922 20.9442i −0.857190 1.48470i −0.874598 0.484848i \(-0.838875\pi\)
0.0174086 0.999848i \(-0.494458\pi\)
\(200\) −5.02379 13.2197i −0.355235 0.934777i
\(201\) 13.2034 + 7.62296i 0.931293 + 0.537682i
\(202\) −5.54612 16.2857i −0.390223 1.14586i
\(203\) −6.66354 10.5349i −0.467689 0.739404i
\(204\) −12.3391 + 9.50673i −0.863908 + 0.665604i
\(205\) 3.93745 12.2596i 0.275004 0.856249i
\(206\) −13.4414 11.7645i −0.936510 0.819669i
\(207\) 20.8330 + 36.0838i 1.44799 + 2.50800i
\(208\) −8.18974 + 8.25442i −0.567856 + 0.572341i
\(209\) 9.66522i 0.668557i
\(210\) −14.7263 22.4059i −1.01621 1.54615i
\(211\) −24.8628 −1.71163 −0.855814 0.517284i \(-0.826943\pi\)
−0.855814 + 0.517284i \(0.826943\pi\)
\(212\) 0.251248 + 1.87984i 0.0172558 + 0.129108i
\(213\) 21.8449 12.6121i 1.49679 0.864170i
\(214\) 10.4401 + 9.13761i 0.713674 + 0.624634i
\(215\) 0.522271 1.62614i 0.0356186 0.110902i
\(216\) 32.2431 + 21.4068i 2.19386 + 1.45655i
\(217\) −18.3967 9.65267i −1.24885 0.655266i
\(218\) 4.45161 1.51600i 0.301501 0.102677i
\(219\) −2.93512 + 5.08377i −0.198337 + 0.343529i
\(220\) −1.95794 + 10.8895i −0.132004 + 0.734173i
\(221\) −6.11832 + 3.53241i −0.411563 + 0.237616i
\(222\) 14.9261 + 2.95372i 1.00177 + 0.198241i
\(223\) 6.76281i 0.452871i 0.974026 + 0.226436i \(0.0727073\pi\)
−0.974026 + 0.226436i \(0.927293\pi\)
\(224\) 13.7092 + 6.00481i 0.915985 + 0.401213i
\(225\) −33.1055 + 15.0095i −2.20703 + 1.00064i
\(226\) 1.71335 8.65807i 0.113970 0.575926i
\(227\) −4.30970 7.46462i −0.286045 0.495444i 0.686817 0.726830i \(-0.259007\pi\)
−0.972862 + 0.231386i \(0.925674\pi\)
\(228\) 9.53656 23.1520i 0.631574 1.53328i
\(229\) 10.3387 17.9071i 0.683200 1.18334i −0.290799 0.956784i \(-0.593921\pi\)
0.973999 0.226552i \(-0.0727454\pi\)
\(230\) 15.5353 9.33482i 1.02437 0.615520i
\(231\) 0.847038 + 20.9594i 0.0557310 + 1.37903i
\(232\) 7.37085 11.1020i 0.483920 0.728884i
\(233\) 19.1261 + 11.0424i 1.25299 + 0.723414i 0.971702 0.236210i \(-0.0759053\pi\)
0.281287 + 0.959624i \(0.409239\pi\)
\(234\) 22.4894 + 19.6836i 1.47018 + 1.28676i
\(235\) −4.97532 5.48809i −0.324554 0.358003i
\(236\) −14.6836 + 1.96253i −0.955823 + 0.127750i
\(237\) 6.27083i 0.407334i
\(238\) 7.07891 + 5.70776i 0.458858 + 0.369979i
\(239\) 10.7855i 0.697656i 0.937187 + 0.348828i \(0.113420\pi\)
−0.937187 + 0.348828i \(0.886580\pi\)
\(240\) 15.4346 24.1528i 0.996300 1.55906i
\(241\) −15.4652 + 8.92882i −0.996200 + 0.575156i −0.907122 0.420868i \(-0.861725\pi\)
−0.0890780 + 0.996025i \(0.528392\pi\)
\(242\) −4.54455 + 5.19236i −0.292135 + 0.333778i
\(243\) 14.7918 25.6201i 0.948893 1.64353i
\(244\) 0.460254 0.354606i 0.0294647 0.0227013i
\(245\) −10.7103 + 11.4144i −0.684256 + 0.729242i
\(246\) 24.7047 8.41321i 1.57511 0.536406i
\(247\) 5.67830 9.83511i 0.361302 0.625793i
\(248\) 1.38720 22.1664i 0.0880872 1.40757i
\(249\) 10.6014 + 18.3622i 0.671839 + 1.16366i
\(250\) 6.77947 + 14.2842i 0.428771 + 0.903413i
\(251\) 11.0237i 0.695810i 0.937530 + 0.347905i \(0.113107\pi\)
−0.937530 + 0.347905i \(0.886893\pi\)
\(252\) 13.2030 36.1316i 0.831712 2.27608i
\(253\) −14.1795 −0.891457
\(254\) 23.9467 + 4.73882i 1.50255 + 0.297340i
\(255\) 12.9024 11.6969i 0.807979 0.732487i
\(256\) 0.125875 + 15.9995i 0.00786716 + 0.999969i
\(257\) −15.5353 + 26.9079i −0.969065 + 1.67847i −0.270793 + 0.962638i \(0.587286\pi\)
−0.698272 + 0.715832i \(0.746048\pi\)
\(258\) 3.27687 1.11594i 0.204009 0.0694756i
\(259\) −0.358681 8.87534i −0.0222873 0.551487i
\(260\) 8.38995 9.93066i 0.520322 0.615873i
\(261\) −29.6628 17.1258i −1.83608 1.06006i
\(262\) −2.18404 1.91155i −0.134930 0.118096i
\(263\) −9.32868 16.1577i −0.575231 0.996329i −0.996017 0.0891689i \(-0.971579\pi\)
0.420786 0.907160i \(-0.361754\pi\)
\(264\) −20.0829 + 9.97756i −1.23602 + 0.614076i
\(265\) −0.447894 2.07257i −0.0275139 0.127317i
\(266\) −14.4423 2.25628i −0.885513 0.138342i
\(267\) 13.7872i 0.843761i
\(268\) 9.43099 1.26049i 0.576089 0.0769966i
\(269\) −1.41984 2.45923i −0.0865689 0.149942i 0.819490 0.573094i \(-0.194257\pi\)
−0.906059 + 0.423152i \(0.860924\pi\)
\(270\) −37.8455 20.9774i −2.30320 1.27665i
\(271\) 9.37179 16.2324i 0.569296 0.986049i −0.427340 0.904091i \(-0.640549\pi\)
0.996636 0.0819580i \(-0.0261173\pi\)
\(272\) −2.47908 + 9.39981i −0.150317 + 0.569947i
\(273\) 11.4517 21.8255i 0.693089 1.32094i
\(274\) 11.4537 3.90057i 0.691943 0.235642i
\(275\) 1.20951 12.3108i 0.0729362 0.742371i
\(276\) 33.9654 + 13.9907i 2.04448 + 0.842143i
\(277\) 11.9110 + 20.6304i 0.715661 + 1.23956i 0.962704 + 0.270557i \(0.0872077\pi\)
−0.247043 + 0.969004i \(0.579459\pi\)
\(278\) −3.66377 + 18.5142i −0.219739 + 1.11041i
\(279\) −57.0851 −3.41760
\(280\) −15.8147 5.46776i −0.945107 0.326761i
\(281\) 10.3608 0.618073 0.309037 0.951050i \(-0.399993\pi\)
0.309037 + 0.951050i \(0.399993\pi\)
\(282\) 2.91456 14.7282i 0.173560 0.877051i
\(283\) 4.67454 + 8.09653i 0.277872 + 0.481289i 0.970856 0.239665i \(-0.0770375\pi\)
−0.692983 + 0.720953i \(0.743704\pi\)
\(284\) 5.99569 14.5558i 0.355779 0.863727i
\(285\) −8.56043 + 26.6537i −0.507076 + 1.57883i
\(286\) −9.62789 + 3.27879i −0.569309 + 0.193879i
\(287\) −8.14436 12.8760i −0.480747 0.760047i
\(288\) 41.0226 2.89140i 2.41728 0.170378i
\(289\) 5.54680 9.60734i 0.326282 0.565138i
\(290\) −7.22301 + 13.0311i −0.424150 + 0.765211i
\(291\) 25.5495 + 44.2531i 1.49774 + 2.59416i
\(292\) 0.485334 + 3.63127i 0.0284020 + 0.212504i
\(293\) 16.0747i 0.939094i −0.882907 0.469547i \(-0.844417\pi\)
0.882907 0.469547i \(-0.155583\pi\)
\(294\) −31.5165 3.62716i −1.83808 0.211540i
\(295\) 16.1891 3.49855i 0.942564 0.203693i
\(296\) 8.50417 4.22503i 0.494295 0.245575i
\(297\) 16.9264 + 29.3174i 0.982171 + 1.70117i
\(298\) 12.3488 + 10.8081i 0.715347 + 0.626099i
\(299\) 14.4287 + 8.33043i 0.834435 + 0.481761i
\(300\) −15.0442 + 28.2958i −0.868577 + 1.63366i
\(301\) −1.08028 1.70790i −0.0622665 0.0984417i
\(302\) −20.7247 + 7.05782i −1.19257 + 0.406132i
\(303\) −19.4926 + 33.7622i −1.11982 + 1.93959i
\(304\) −4.10384 15.0782i −0.235371 0.864796i
\(305\) −0.481265 + 0.436299i −0.0275572 + 0.0249824i
\(306\) 24.5109 + 4.85047i 1.40119 + 0.277283i
\(307\) −14.9824 −0.855091 −0.427545 0.903994i \(-0.640622\pi\)
−0.427545 + 0.903994i \(0.640622\pi\)
\(308\) 8.40212 + 10.0392i 0.478755 + 0.572038i
\(309\) 40.4774i 2.30268i
\(310\) 0.433696 + 24.8275i 0.0246323 + 1.41011i
\(311\) 15.4750 + 26.8036i 0.877509 + 1.51989i 0.854066 + 0.520165i \(0.174130\pi\)
0.0234437 + 0.999725i \(0.492537\pi\)
\(312\) 26.2977 + 1.64574i 1.48881 + 0.0931717i
\(313\) 1.57151 2.72194i 0.0888271 0.153853i −0.818189 0.574950i \(-0.805021\pi\)
0.907016 + 0.421097i \(0.138355\pi\)
\(314\) −2.68537 + 0.914505i −0.151544 + 0.0516085i
\(315\) −11.4874 + 41.4464i −0.647239 + 2.33524i
\(316\) 2.38853 + 3.10015i 0.134365 + 0.174397i
\(317\) −1.89262 + 3.27812i −0.106300 + 0.184118i −0.914269 0.405108i \(-0.867234\pi\)
0.807968 + 0.589226i \(0.200567\pi\)
\(318\) 2.83047 3.23394i 0.158725 0.181350i
\(319\) 10.0947 5.82815i 0.565192 0.326314i
\(320\) −1.56919 17.8196i −0.0877206 0.996145i
\(321\) 31.4393i 1.75477i
\(322\) 3.31011 21.1878i 0.184465 1.18075i
\(323\) 9.49444i 0.528285i
\(324\) −5.83978 43.6933i −0.324432 2.42740i
\(325\) −8.46336 + 11.8166i −0.469463 + 0.655469i
\(326\) −17.5594 15.3686i −0.972523 0.851190i
\(327\) −9.22873 5.32821i −0.510350 0.294651i
\(328\) 9.00886 13.5692i 0.497431 0.749234i
\(329\) −8.75767 + 0.353925i −0.482826 + 0.0195125i
\(330\) 21.4905 12.9132i 1.18301 0.710848i
\(331\) −3.83340 + 6.63965i −0.210703 + 0.364948i −0.951935 0.306301i \(-0.900909\pi\)
0.741232 + 0.671249i \(0.234242\pi\)
\(332\) 12.2352 + 5.03982i 0.671495 + 0.276596i
\(333\) −12.2035 21.1371i −0.668748 1.15831i
\(334\) −1.28262 + 6.48145i −0.0701816 + 0.354649i
\(335\) −10.3979 + 2.24704i −0.568098 + 0.122769i
\(336\) −10.2208 32.3382i −0.557589 1.76419i
\(337\) 24.8688i 1.35469i −0.735667 0.677344i \(-0.763131\pi\)
0.735667 0.677344i \(-0.236869\pi\)
\(338\) −6.31163 1.24901i −0.343307 0.0679372i
\(339\) −17.3205 + 9.99998i −0.940719 + 0.543124i
\(340\) 1.92335 10.6971i 0.104308 0.580134i
\(341\) 9.71342 16.8241i 0.526011 0.911078i
\(342\) −38.0207 + 12.9480i −2.05592 + 0.700148i
\(343\) 2.23868 + 18.3845i 0.120877 + 0.992667i
\(344\) 1.19495 1.79984i 0.0644275 0.0970411i
\(345\) −39.1026 12.5587i −2.10522 0.676137i
\(346\) 7.92268 + 6.93423i 0.425926 + 0.372787i
\(347\) 19.3450 11.1689i 1.03850 0.599576i 0.119089 0.992884i \(-0.462003\pi\)
0.919407 + 0.393308i \(0.128669\pi\)
\(348\) −29.9312 + 4.00042i −1.60448 + 0.214445i
\(349\) 6.23220 0.333602 0.166801 0.985991i \(-0.446656\pi\)
0.166801 + 0.985991i \(0.446656\pi\)
\(350\) 18.1132 + 4.68120i 0.968189 + 0.250221i
\(351\) 39.7770i 2.12314i
\(352\) −6.12812 + 12.5822i −0.326630 + 0.670632i
\(353\) 5.05250 + 8.75119i 0.268918 + 0.465779i 0.968583 0.248692i \(-0.0800008\pi\)
−0.699665 + 0.714471i \(0.746667\pi\)
\(354\) 25.2606 + 22.1091i 1.34259 + 1.17508i
\(355\) −5.38199 + 16.7573i −0.285646 + 0.889387i
\(356\) 5.25148 + 6.81606i 0.278328 + 0.361250i
\(357\) −0.832072 20.5891i −0.0440379 1.08969i
\(358\) 4.43401 + 13.0201i 0.234345 + 0.688133i
\(359\) −18.4425 10.6478i −0.973359 0.561969i −0.0731003 0.997325i \(-0.523289\pi\)
−0.900259 + 0.435356i \(0.856623\pi\)
\(360\) −45.4598 + 6.88607i −2.39594 + 0.362928i
\(361\) −1.86891 3.23705i −0.0983638 0.170371i
\(362\) −7.94238 1.57172i −0.417442 0.0826078i
\(363\) 15.6362 0.820689
\(364\) −2.65178 15.1519i −0.138991 0.794177i
\(365\) −0.865194 4.00357i −0.0452863 0.209556i
\(366\) −1.29155 0.255586i −0.0675106 0.0133597i
\(367\) 26.2490 15.1549i 1.37019 0.791077i 0.379234 0.925301i \(-0.376187\pi\)
0.990951 + 0.134224i \(0.0428541\pi\)
\(368\) 22.1207 6.02059i 1.15312 0.313845i
\(369\) −36.2547 20.9317i −1.88734 1.08966i
\(370\) −9.10023 + 5.46814i −0.473099 + 0.284275i
\(371\) −2.22166 1.16569i −0.115343 0.0605198i
\(372\) −39.8676 + 30.7163i −2.06704 + 1.59256i
\(373\) 11.6702 20.2134i 0.604260 1.04661i −0.387908 0.921698i \(-0.626802\pi\)
0.992168 0.124911i \(-0.0398644\pi\)
\(374\) −5.60022 + 6.39852i −0.289581 + 0.330859i
\(375\) 14.2391 32.8782i 0.735303 1.69782i
\(376\) −4.16901 8.39142i −0.215000 0.432755i
\(377\) −13.6961 −0.705386
\(378\) −47.7590 + 18.4484i −2.45646 + 0.948884i
\(379\) 9.55433 0.490773 0.245387 0.969425i \(-0.421085\pi\)
0.245387 + 0.969425i \(0.421085\pi\)
\(380\) 5.92020 + 16.4376i 0.303700 + 0.843231i
\(381\) −27.6582 47.9053i −1.41697 2.45427i
\(382\) −3.27523 2.86661i −0.167575 0.146668i
\(383\) 16.2249 + 9.36744i 0.829052 + 0.478654i 0.853528 0.521047i \(-0.174458\pi\)
−0.0244757 + 0.999700i \(0.507792\pi\)
\(384\) 27.0939 24.0927i 1.38263 1.22947i
\(385\) −10.2604 10.4379i −0.522920 0.531967i
\(386\) 25.2743 8.60718i 1.28643 0.438094i
\(387\) −4.80889 2.77641i −0.244450 0.141133i
\(388\) 29.4869 + 12.1460i 1.49697 + 0.616620i
\(389\) 18.5104 10.6870i 0.938515 0.541852i 0.0490204 0.998798i \(-0.484390\pi\)
0.889494 + 0.456946i \(0.151057\pi\)
\(390\) −29.4548 + 0.514527i −1.49150 + 0.0260541i
\(391\) 13.9290 0.704417
\(392\) −16.9626 + 10.2113i −0.856740 + 0.515749i
\(393\) 6.57699i 0.331765i
\(394\) 6.67813 + 1.32154i 0.336439 + 0.0665781i
\(395\) −2.93880 3.24168i −0.147867 0.163107i
\(396\) 33.2603 + 13.7003i 1.67139 + 0.688465i
\(397\) 0.251200 + 0.145030i 0.0126073 + 0.00727885i 0.506290 0.862363i \(-0.331016\pi\)
−0.493683 + 0.869642i \(0.664350\pi\)
\(398\) 11.0256 + 32.3759i 0.552666 + 1.62286i
\(399\) 17.7067 + 27.9938i 0.886443 + 1.40144i
\(400\) 3.34027 + 19.7191i 0.167013 + 0.985955i
\(401\) 13.4012 23.2115i 0.669223 1.15913i −0.308899 0.951095i \(-0.599960\pi\)
0.978122 0.208033i \(-0.0667063\pi\)
\(402\) −16.2244 14.2002i −0.809198 0.708241i
\(403\) −19.7683 + 11.4132i −0.984730 + 0.568534i
\(404\) 3.22319 + 24.1159i 0.160360 + 1.19981i
\(405\) 10.4104 + 48.1729i 0.517299 + 2.39373i
\(406\) 6.35220 + 16.4445i 0.315255 + 0.816128i
\(407\) 8.30603 0.411715
\(408\) 19.7281 9.80127i 0.976685 0.485235i
\(409\) 11.0759 6.39466i 0.547667 0.316195i −0.200514 0.979691i \(-0.564261\pi\)
0.748180 + 0.663495i \(0.230928\pi\)
\(410\) −8.82817 + 15.9269i −0.435992 + 0.786575i
\(411\) −23.7449 13.7091i −1.17125 0.676221i
\(412\) 15.4177 + 20.0111i 0.759575 + 0.985877i
\(413\) 9.10536 17.3536i 0.448045 0.853916i
\(414\) −18.9955 55.7788i −0.933580 2.74138i
\(415\) −14.0858 4.52396i −0.691444 0.222073i
\(416\) 13.6278 9.20308i 0.668160 0.451218i
\(417\) 37.0376 21.3837i 1.81374 1.04716i
\(418\) 2.65344 13.4087i 0.129784 0.655839i
\(419\) 11.3606i 0.555002i 0.960725 + 0.277501i \(0.0895062\pi\)
−0.960725 + 0.277501i \(0.910494\pi\)
\(420\) 14.2788 + 35.1268i 0.696733 + 1.71401i
\(421\) 36.1939i 1.76398i 0.471266 + 0.881991i \(0.343797\pi\)
−0.471266 + 0.881991i \(0.656203\pi\)
\(422\) 34.4925 + 6.82572i 1.67907 + 0.332271i
\(423\) −20.8569 + 12.0417i −1.01409 + 0.585488i
\(424\) 0.167523 2.67690i 0.00813565 0.130002i
\(425\) −1.18814 + 12.0933i −0.0576332 + 0.586612i
\(426\) −33.7681 + 11.4998i −1.63607 + 0.557166i
\(427\) 0.0310367 + 0.767984i 0.00150197 + 0.0371654i
\(428\) −11.9751 15.5429i −0.578839 0.751294i
\(429\) 19.9598 + 11.5238i 0.963667 + 0.556374i
\(430\) −1.17098 + 2.11258i −0.0564699 + 0.101878i
\(431\) −26.0484 + 15.0391i −1.25471 + 0.724406i −0.972041 0.234812i \(-0.924552\pi\)
−0.282667 + 0.959218i \(0.591219\pi\)
\(432\) −38.8542 38.5498i −1.86938 1.85473i
\(433\) −13.9510 −0.670442 −0.335221 0.942139i \(-0.608811\pi\)
−0.335221 + 0.942139i \(0.608811\pi\)
\(434\) 22.8720 + 18.4418i 1.09789 + 0.885235i
\(435\) 32.9999 7.13147i 1.58222 0.341928i
\(436\) −6.59197 + 0.881042i −0.315698 + 0.0421943i
\(437\) −19.3908 + 11.1953i −0.927588 + 0.535543i
\(438\) 5.46759 6.24698i 0.261252 0.298492i
\(439\) −5.58413 + 9.67200i −0.266516 + 0.461619i −0.967960 0.251106i \(-0.919206\pi\)
0.701444 + 0.712725i \(0.252539\pi\)
\(440\) 5.70584 14.5696i 0.272015 0.694581i
\(441\) 28.9177 + 41.8740i 1.37703 + 1.99400i
\(442\) 9.45778 3.22086i 0.449861 0.153201i
\(443\) −16.0785 9.28292i −0.763912 0.441045i 0.0667865 0.997767i \(-0.478725\pi\)
−0.830699 + 0.556722i \(0.812059\pi\)
\(444\) −19.8962 8.19547i −0.944232 0.388940i
\(445\) −6.46131 7.12722i −0.306295 0.337863i
\(446\) 1.85663 9.38212i 0.0879139 0.444256i
\(447\) 37.1871i 1.75889i
\(448\) −17.3704 12.0942i −0.820674 0.571397i
\(449\) −8.39895 −0.396371 −0.198186 0.980165i \(-0.563505\pi\)
−0.198186 + 0.980165i \(0.563505\pi\)
\(450\) 50.0482 11.7343i 2.35930 0.553159i
\(451\) 12.3380 7.12333i 0.580972 0.335424i
\(452\) −4.75389 + 11.5411i −0.223604 + 0.542846i
\(453\) 42.9648 + 24.8057i 2.01866 + 1.16547i
\(454\) 3.92959 + 11.5389i 0.184425 + 0.541548i
\(455\) 4.30852 + 16.6494i 0.201986 + 0.780536i
\(456\) −19.5862 + 29.5009i −0.917208 + 1.38150i
\(457\) 24.5026 + 14.1466i 1.14618 + 0.661749i 0.947954 0.318406i \(-0.103148\pi\)
0.198229 + 0.980156i \(0.436481\pi\)
\(458\) −19.2591 + 22.0044i −0.899919 + 1.02820i
\(459\) −16.6274 28.7994i −0.776099 1.34424i
\(460\) −24.1150 + 8.68532i −1.12437 + 0.404955i
\(461\) 31.5889 1.47124 0.735621 0.677393i \(-0.236890\pi\)
0.735621 + 0.677393i \(0.236890\pi\)
\(462\) 4.57900 29.3098i 0.213034 1.36361i
\(463\) −20.6027 −0.957487 −0.478744 0.877955i \(-0.658908\pi\)
−0.478744 + 0.877955i \(0.658908\pi\)
\(464\) −13.2736 + 13.3784i −0.616210 + 0.621077i
\(465\) 41.6877 37.7927i 1.93322 1.75259i
\(466\) −23.5022 20.5701i −1.08872 0.952889i
\(467\) −8.18604 + 14.1786i −0.378805 + 0.656109i −0.990889 0.134684i \(-0.956998\pi\)
0.612084 + 0.790793i \(0.290331\pi\)
\(468\) −25.7960 33.4814i −1.19242 1.54768i
\(469\) −5.84818 + 11.1459i −0.270044 + 0.514669i
\(470\) 5.39564 + 8.97958i 0.248882 + 0.414197i
\(471\) 5.56708 + 3.21416i 0.256518 + 0.148101i
\(472\) 20.9095 + 1.30854i 0.962440 + 0.0602306i
\(473\) 1.63653 0.944851i 0.0752478 0.0434443i
\(474\) 1.72156 8.69958i 0.0790740 0.399585i
\(475\) −8.06588 17.7903i −0.370088 0.816277i
\(476\) −8.25367 9.86185i −0.378306 0.452017i
\(477\) −6.89381 −0.315646
\(478\) 2.96100 14.9628i 0.135433 0.684385i
\(479\) 18.7679 + 32.5069i 0.857526 + 1.48528i 0.874282 + 0.485419i \(0.161333\pi\)
−0.0167554 + 0.999860i \(0.505334\pi\)
\(480\) −28.0434 + 29.2701i −1.28000 + 1.33599i
\(481\) −8.45203 4.87978i −0.385379 0.222499i
\(482\) 23.9063 8.14132i 1.08890 0.370827i
\(483\) −41.0687 + 25.9768i −1.86869 + 1.18199i
\(484\) 7.73019 5.95578i 0.351372 0.270717i
\(485\) −33.9468 10.9028i −1.54145 0.495070i
\(486\) −27.5544 + 31.4822i −1.24989 + 1.42806i
\(487\) −12.1439 21.0339i −0.550294 0.953138i −0.998253 0.0590835i \(-0.981182\pi\)
0.447959 0.894054i \(-0.352151\pi\)
\(488\) −0.735867 + 0.365592i −0.0333111 + 0.0165496i
\(489\) 52.8781i 2.39123i
\(490\) 17.9922 12.8950i 0.812803 0.582538i
\(491\) 15.9769 0.721025 0.360513 0.932754i \(-0.382602\pi\)
0.360513 + 0.932754i \(0.382602\pi\)
\(492\) −36.5828 + 4.88943i −1.64928 + 0.220432i
\(493\) −9.91630 + 5.72518i −0.446608 + 0.257849i
\(494\) −10.5776 + 12.0855i −0.475911 + 0.543750i
\(495\) −38.2908 12.2980i −1.72105 0.552752i
\(496\) −8.00993 + 30.3708i −0.359657 + 1.36369i
\(497\) 11.1323 + 17.5999i 0.499352 + 0.789462i
\(498\) −9.66641 28.3846i −0.433162 1.27194i
\(499\) 7.03517 12.1853i 0.314937 0.545487i −0.664487 0.747300i \(-0.731350\pi\)
0.979424 + 0.201813i \(0.0646832\pi\)
\(500\) −5.48370 21.6778i −0.245239 0.969463i
\(501\) 12.9661 7.48601i 0.579285 0.334450i
\(502\) 3.02639 15.2933i 0.135075 0.682573i
\(503\) 8.77499i 0.391258i 0.980678 + 0.195629i \(0.0626748\pi\)
−0.980678 + 0.195629i \(0.937325\pi\)
\(504\) −28.2361 + 46.5010i −1.25774 + 2.07132i
\(505\) −5.74590 26.5884i −0.255689 1.18317i
\(506\) 19.6714 + 3.89277i 0.874498 + 0.173055i
\(507\) 7.28986 + 12.6264i 0.323754 + 0.560758i
\(508\) −31.9205 13.1484i −1.41624 0.583367i
\(509\) −17.8686 + 30.9493i −0.792011 + 1.37180i 0.132709 + 0.991155i \(0.457633\pi\)
−0.924720 + 0.380649i \(0.875701\pi\)
\(510\) −21.1108 + 12.6850i −0.934803 + 0.561703i
\(511\) −4.29157 2.25176i −0.189848 0.0996121i
\(512\) 4.21780 22.2308i 0.186402 0.982474i
\(513\) 46.2946 + 26.7282i 2.04396 + 1.18008i
\(514\) 28.9394 33.0647i 1.27646 1.45842i
\(515\) −18.9696 20.9247i −0.835901 0.922051i
\(516\) −4.85240 + 0.648543i −0.213615 + 0.0285505i
\(517\) 8.19591i 0.360456i
\(518\) −1.93899 + 12.4113i −0.0851944 + 0.545322i
\(519\) 23.8583i 1.04726i
\(520\) −14.3658 + 11.4736i −0.629981 + 0.503149i
\(521\) −34.6318 + 19.9947i −1.51724 + 0.875982i −0.517450 + 0.855713i \(0.673119\pi\)
−0.999795 + 0.0202683i \(0.993548\pi\)
\(522\) 36.4499 + 31.9023i 1.59537 + 1.39633i
\(523\) 17.3266 30.0106i 0.757641 1.31227i −0.186409 0.982472i \(-0.559685\pi\)
0.944050 0.329801i \(-0.106982\pi\)
\(524\) 2.50515 + 3.25152i 0.109438 + 0.142043i
\(525\) −19.0503 37.8722i −0.831423 1.65288i
\(526\) 8.50590 + 24.9769i 0.370875 + 1.08904i
\(527\) −9.54180 + 16.5269i −0.415647 + 0.719922i
\(528\) 30.6004 8.32851i 1.33171 0.362452i
\(529\) −4.92420 8.52897i −0.214096 0.370825i
\(530\) 0.0523747 + 2.99826i 0.00227501 + 0.130236i
\(531\) 53.8484i 2.33682i
\(532\) 19.4165 + 7.09508i 0.841812 + 0.307611i
\(533\) −16.7398 −0.725080
\(534\) 3.78506 19.1271i 0.163796 0.827710i
\(535\) 14.7339 + 16.2525i 0.637004 + 0.702655i
\(536\) −13.4298 0.840450i −0.580077 0.0363019i
\(537\) 15.5840 26.9922i 0.672497 1.16480i
\(538\) 1.29461 + 3.80151i 0.0558145 + 0.163895i
\(539\) −17.2617 + 1.39748i −0.743513 + 0.0601938i
\(540\) 46.7444 + 39.4922i 2.01156 + 1.69947i
\(541\) 24.2321 + 13.9904i 1.04182 + 0.601495i 0.920348 0.391100i \(-0.127905\pi\)
0.121472 + 0.992595i \(0.461239\pi\)
\(542\) −17.4579 + 19.9465i −0.749883 + 0.856776i
\(543\) 9.17336 + 15.8887i 0.393667 + 0.681851i
\(544\) 6.01984 12.3599i 0.258098 0.529925i
\(545\) 7.26781 1.57061i 0.311319 0.0672777i
\(546\) −21.8789 + 27.1348i −0.936332 + 1.16126i
\(547\) 11.5628i 0.494391i 0.968966 + 0.247196i \(0.0795090\pi\)
−0.968966 + 0.247196i \(0.920491\pi\)
\(548\) −16.9607 + 2.26686i −0.724525 + 0.0968356i
\(549\) 1.05597 + 1.82899i 0.0450677 + 0.0780596i
\(550\) −5.05772 + 16.7469i −0.215662 + 0.714090i
\(551\) 9.20314 15.9403i 0.392067 0.679080i
\(552\) −43.2796 28.7342i −1.84210 1.22301i
\(553\) −5.17295 + 0.209055i −0.219976 + 0.00888993i
\(554\) −10.8604 31.8908i −0.461416 1.35491i
\(555\) 22.9055 + 7.35661i 0.972283 + 0.312271i
\(556\) 10.1656 24.6791i 0.431117 1.04663i
\(557\) 22.6698 + 39.2653i 0.960552 + 1.66372i 0.721118 + 0.692812i \(0.243629\pi\)
0.239434 + 0.970913i \(0.423038\pi\)
\(558\) 79.1948 + 15.6719i 3.35258 + 0.663443i
\(559\) −2.22040 −0.0939127
\(560\) 20.4388 + 11.9272i 0.863695 + 0.504015i
\(561\) 19.2684 0.813514
\(562\) −14.3736 2.84440i −0.606315 0.119984i
\(563\) 5.15902 + 8.93569i 0.217427 + 0.376594i 0.954021 0.299741i \(-0.0969003\pi\)
−0.736594 + 0.676335i \(0.763567\pi\)
\(564\) −8.08681 + 19.6324i −0.340516 + 0.826674i
\(565\) 4.26730 13.2866i 0.179527 0.558973i
\(566\) −4.26225 12.5157i −0.179156 0.526075i
\(567\) 51.6383 + 27.0943i 2.16860 + 1.13785i
\(568\) −12.3140 + 18.5474i −0.516682 + 0.778230i
\(569\) −4.72049 + 8.17613i −0.197893 + 0.342761i −0.947845 0.318731i \(-0.896743\pi\)
0.749952 + 0.661492i \(0.230077\pi\)
\(570\) 19.1933 34.6268i 0.803921 1.45036i
\(571\) 14.8128 + 25.6565i 0.619895 + 1.07369i 0.989504 + 0.144503i \(0.0461582\pi\)
−0.369609 + 0.929187i \(0.620508\pi\)
\(572\) 14.2570 1.90551i 0.596116 0.0796732i
\(573\) 9.86299i 0.412032i
\(574\) 7.76384 + 20.0990i 0.324056 + 0.838914i
\(575\) 26.0996 11.8332i 1.08843 0.493477i
\(576\) −57.7048 7.25087i −2.40437 0.302119i
\(577\) −7.61237 13.1850i −0.316907 0.548899i 0.662934 0.748678i \(-0.269311\pi\)
−0.979841 + 0.199779i \(0.935978\pi\)
\(578\) −10.3327 + 11.8056i −0.429783 + 0.491047i
\(579\) −52.3966 30.2512i −2.17753 1.25720i
\(580\) 13.5980 16.0952i 0.564628 0.668315i
\(581\) −14.7940 + 9.35752i −0.613758 + 0.388216i
\(582\) −23.2961 68.4070i −0.965655 2.83556i
\(583\) 1.17303 2.03175i 0.0485819 0.0841463i
\(584\) 0.323604 5.17095i 0.0133908 0.213975i
\(585\) 31.7389 + 35.0099i 1.31224 + 1.44748i
\(586\) −4.41307 + 22.3006i −0.182302 + 0.921229i
\(587\) 24.3201 1.00380 0.501899 0.864926i \(-0.332635\pi\)
0.501899 + 0.864926i \(0.332635\pi\)
\(588\) 42.7273 + 13.6844i 1.76205 + 0.564334i
\(589\) 30.6766i 1.26401i
\(590\) −23.4197 + 0.409105i −0.964175 + 0.0168426i
\(591\) −7.71317 13.3596i −0.317277 0.549540i
\(592\) −12.9578 + 3.52673i −0.532564 + 0.144948i
\(593\) 4.82898 8.36403i 0.198302 0.343470i −0.749676 0.661805i \(-0.769791\pi\)
0.947978 + 0.318336i \(0.103124\pi\)
\(594\) −15.4335 45.3193i −0.633246 1.85947i
\(595\) 10.0792 + 10.2535i 0.413205 + 0.420353i
\(596\) −14.1644 18.3844i −0.580197 0.753056i
\(597\) 38.7512 67.1190i 1.58598 2.74700i
\(598\) −17.7301 15.5181i −0.725039 0.634582i
\(599\) 9.10218 5.25515i 0.371905 0.214719i −0.302385 0.953186i \(-0.597783\pi\)
0.674290 + 0.738466i \(0.264450\pi\)
\(600\) 28.6392 35.1250i 1.16919 1.43397i
\(601\) 9.14888i 0.373191i 0.982437 + 0.186595i \(0.0597453\pi\)
−0.982437 + 0.186595i \(0.940255\pi\)
\(602\) 1.02981 + 2.66596i 0.0419719 + 0.108656i
\(603\) 34.5857i 1.40844i
\(604\) 30.6892 4.10173i 1.24873 0.166897i
\(605\) −8.08309 + 7.32786i −0.328624 + 0.297920i
\(606\) 36.3112 41.4873i 1.47504 1.68530i
\(607\) −42.1138 24.3144i −1.70935 0.986892i −0.935366 0.353682i \(-0.884929\pi\)
−0.773981 0.633209i \(-0.781737\pi\)
\(608\) 1.55379 + 22.0448i 0.0630146 + 0.894037i
\(609\) 18.5604 35.3738i 0.752106 1.43342i
\(610\) 0.787444 0.473158i 0.0318827 0.0191576i
\(611\) −4.81509 + 8.33998i −0.194798 + 0.337399i
\(612\) −32.6726 13.4582i −1.32071 0.544016i
\(613\) −2.92021 5.05795i −0.117946 0.204289i 0.801008 0.598654i \(-0.204298\pi\)
−0.918954 + 0.394366i \(0.870964\pi\)
\(614\) 20.7852 + 4.11320i 0.838824 + 0.165995i
\(615\) 40.3334 8.71627i 1.62640 0.351474i
\(616\) −8.90023 16.2342i −0.358601 0.654095i
\(617\) 49.5048i 1.99299i 0.0836564 + 0.996495i \(0.473340\pi\)
−0.0836564 + 0.996495i \(0.526660\pi\)
\(618\) 11.1125 56.1548i 0.447010 2.25888i
\(619\) 8.25280 4.76475i 0.331708 0.191512i −0.324891 0.945751i \(-0.605328\pi\)
0.656599 + 0.754240i \(0.271994\pi\)
\(620\) 6.21435 34.5625i 0.249574 1.38806i
\(621\) −39.2120 + 67.9172i −1.57352 + 2.72542i
\(622\) −14.1102 41.4333i −0.565766 1.66132i
\(623\) −11.3733 + 0.459633i −0.455663 + 0.0184148i
\(624\) −36.0313 9.50280i −1.44241 0.380416i
\(625\) 8.04742 + 23.6694i 0.321897 + 0.946775i
\(626\) −2.92744 + 3.34474i −0.117004 + 0.133683i
\(627\) −26.8240 + 15.4869i −1.07125 + 0.618485i
\(628\) 3.97650 0.531475i 0.158680 0.0212081i
\(629\) −8.15928 −0.325332
\(630\) 27.3150 54.3453i 1.08826 2.16517i
\(631\) 7.60958i 0.302933i −0.988462 0.151466i \(-0.951601\pi\)
0.988462 0.151466i \(-0.0483995\pi\)
\(632\) −2.46254 4.95661i −0.0979544 0.197163i
\(633\) −39.8384 69.0021i −1.58343 2.74259i
\(634\) 3.52561 4.02818i 0.140020 0.159979i
\(635\) 36.7485 + 11.8026i 1.45832 + 0.468371i
\(636\) −4.81456 + 3.70941i −0.190910 + 0.147088i
\(637\) 18.3861 + 8.71916i 0.728484 + 0.345466i
\(638\) −15.6045 + 5.31412i −0.617786 + 0.210388i
\(639\) 49.5555 + 28.6109i 1.96039 + 1.13183i
\(640\) −2.71515 + 25.1521i −0.107326 + 0.994224i
\(641\) −10.7911 18.6907i −0.426222 0.738238i 0.570312 0.821428i \(-0.306822\pi\)
−0.996534 + 0.0831906i \(0.973489\pi\)
\(642\) −8.63121 + 43.6161i −0.340647 + 1.72139i
\(643\) −35.1575 −1.38648 −0.693239 0.720708i \(-0.743817\pi\)
−0.693239 + 0.720708i \(0.743817\pi\)
\(644\) −10.4089 + 28.4852i −0.410170 + 1.12248i
\(645\) 5.34990 1.15614i 0.210652 0.0455231i
\(646\) −2.60656 + 13.1717i −0.102554 + 0.518235i
\(647\) 0.0712919 0.0411604i 0.00280277 0.00161818i −0.498598 0.866833i \(-0.666152\pi\)
0.501401 + 0.865215i \(0.332818\pi\)
\(648\) −3.89376 + 62.2194i −0.152961 + 2.44421i
\(649\) 15.8702 + 9.16266i 0.622960 + 0.359666i
\(650\) 14.9854 14.0699i 0.587776 0.551865i
\(651\) −2.68843 66.5235i −0.105368 2.60726i
\(652\) 20.1411 + 26.1417i 0.788785 + 1.02379i
\(653\) 12.0368 20.8484i 0.471037 0.815859i −0.528415 0.848987i \(-0.677213\pi\)
0.999451 + 0.0331271i \(0.0105466\pi\)
\(654\) 11.3403 + 9.92549i 0.443442 + 0.388117i
\(655\) −3.08229 3.39995i −0.120435 0.132847i
\(656\) −16.2233 + 16.3515i −0.633414 + 0.638417i
\(657\) −13.3167 −0.519536
\(658\) 12.2468 + 1.91328i 0.477429 + 0.0745876i
\(659\) 41.3082 1.60914 0.804569 0.593859i \(-0.202396\pi\)
0.804569 + 0.593859i \(0.202396\pi\)
\(660\) −33.3592 + 12.0147i −1.29850 + 0.467672i
\(661\) 9.80101 + 16.9759i 0.381215 + 0.660284i 0.991236 0.132101i \(-0.0421723\pi\)
−0.610021 + 0.792385i \(0.708839\pi\)
\(662\) 7.14094 8.15885i 0.277541 0.317103i
\(663\) −19.6071 11.3202i −0.761477 0.439639i
\(664\) −15.5904 10.3508i −0.605026 0.401689i
\(665\) −22.2726 6.17311i −0.863695 0.239383i
\(666\) 11.1272 + 32.6740i 0.431169 + 1.26609i
\(667\) 23.3854 + 13.5016i 0.905487 + 0.522783i
\(668\) 3.55877 8.63966i 0.137693 0.334279i
\(669\) −18.7689 + 10.8362i −0.725648 + 0.418953i
\(670\) 15.0420 0.262759i 0.581123 0.0101513i
\(671\) −0.718722 −0.0277460
\(672\) 5.30143 + 47.6690i 0.204507 + 1.83887i
\(673\) 38.8213i 1.49645i −0.663444 0.748226i \(-0.730906\pi\)
0.663444 0.748226i \(-0.269094\pi\)
\(674\) −6.82735 + 34.5007i −0.262980 + 1.32892i
\(675\) −55.6219 39.8377i −2.14089 1.53336i
\(676\) 8.41329 + 3.46553i 0.323588 + 0.133290i
\(677\) 33.5675 + 19.3802i 1.29010 + 0.744842i 0.978672 0.205427i \(-0.0658583\pi\)
0.311431 + 0.950269i \(0.399192\pi\)
\(678\) 26.7742 9.11799i 1.02826 0.350174i
\(679\) −35.6536 + 22.5517i −1.36826 + 0.865454i
\(680\) −5.60502 + 14.3122i −0.214943 + 0.548849i
\(681\) 13.8111 23.9216i 0.529243 0.916676i
\(682\) −18.0944 + 20.6736i −0.692869 + 0.791634i
\(683\) 31.8093 18.3651i 1.21715 0.702721i 0.252842 0.967508i \(-0.418635\pi\)
0.964307 + 0.264786i \(0.0853013\pi\)
\(684\) 56.3012 7.52487i 2.15273 0.287721i
\(685\) 18.6996 4.04108i 0.714474 0.154402i
\(686\) 1.94144 26.1195i 0.0741245 0.997249i
\(687\) 66.2639 2.52812
\(688\) −2.15189 + 2.16889i −0.0820400 + 0.0826880i
\(689\) −2.38730 + 1.37831i −0.0909487 + 0.0525093i
\(690\) 50.7997 + 28.1579i 1.93391 + 1.07195i
\(691\) 23.1244 + 13.3509i 0.879693 + 0.507891i 0.870557 0.492067i \(-0.163759\pi\)
0.00913605 + 0.999958i \(0.497092\pi\)
\(692\) −9.08753 11.7950i −0.345456 0.448378i
\(693\) −40.2161 + 25.4375i −1.52768 + 0.966292i
\(694\) −29.9038 + 10.1838i −1.13513 + 0.386571i
\(695\) −9.12507 + 28.4118i −0.346134 + 1.07772i
\(696\) 42.6221 + 2.66734i 1.61559 + 0.101105i
\(697\) −12.1200 + 6.99747i −0.459077 + 0.265048i
\(698\) −8.64599 1.71096i −0.327256 0.0647607i
\(699\) 70.7744i 2.67693i
\(700\) −23.8434 11.4670i −0.901196 0.433411i
\(701\) 28.7252i 1.08494i −0.840076 0.542468i \(-0.817490\pi\)
0.840076 0.542468i \(-0.182510\pi\)
\(702\) −10.9202 + 55.1830i −0.412156 + 2.08275i
\(703\) 11.3587 6.55796i 0.428402 0.247338i
\(704\) 11.9558 15.7730i 0.450603 0.594467i
\(705\) 7.25907 22.6018i 0.273392 0.851233i
\(706\) −4.60688 13.5277i −0.173382 0.509122i
\(707\) −28.5010 14.9543i −1.07189 0.562416i
\(708\) −28.9746 37.6071i −1.08893 1.41336i
\(709\) −26.2847 15.1755i −0.987142 0.569927i −0.0827230 0.996573i \(-0.526362\pi\)
−0.904419 + 0.426646i \(0.859695\pi\)
\(710\) 12.0670 21.7701i 0.452865 0.817016i
\(711\) −12.3196 + 7.11275i −0.462023 + 0.266749i
\(712\) −5.41418 10.8977i −0.202905 0.408409i
\(713\) 45.0045 1.68543
\(714\) −4.49809 + 28.7919i −0.168337 + 1.07751i
\(715\) −15.7187 + 3.39690i −0.587847 + 0.127037i
\(716\) −2.57687 19.2802i −0.0963023 0.720535i
\(717\) −29.9332 + 17.2819i −1.11787 + 0.645405i
\(718\) 22.6623 + 19.8349i 0.845750 + 0.740232i
\(719\) 23.6997 41.0491i 0.883849 1.53087i 0.0368218 0.999322i \(-0.488277\pi\)
0.847027 0.531549i \(-0.178390\pi\)
\(720\) 64.9574 + 2.92721i 2.42082 + 0.109091i
\(721\) −33.3907 + 1.34943i −1.24354 + 0.0502553i
\(722\) 1.70408 + 5.00387i 0.0634192 + 0.186225i
\(723\) −49.5606 28.6138i −1.84318 1.06416i
\(724\) 10.5871 + 4.36093i 0.393465 + 0.162073i
\(725\) −13.7170 + 19.1519i −0.509438 + 0.711283i
\(726\) −21.6923 4.29270i −0.805077 0.159317i
\(727\) 14.3064i 0.530595i 0.964167 + 0.265297i \(0.0854701\pi\)
−0.964167 + 0.265297i \(0.914530\pi\)
\(728\) −0.480902 + 21.7484i −0.0178234 + 0.806051i
\(729\) 28.6824 1.06231
\(730\) 0.101172 + 5.79172i 0.00374454 + 0.214361i
\(731\) −1.60762 + 0.928157i −0.0594598 + 0.0343291i
\(732\) 1.72162 + 0.709154i 0.0636329 + 0.0262111i
\(733\) −6.48221 3.74251i −0.239426 0.138233i 0.375487 0.926828i \(-0.377476\pi\)
−0.614913 + 0.788595i \(0.710809\pi\)
\(734\) −40.5760 + 13.8182i −1.49769 + 0.510040i
\(735\) −48.8401 11.4347i −1.80149 0.421777i
\(736\) −32.3412 + 2.27951i −1.19211 + 0.0840239i
\(737\) −10.1931 5.88498i −0.375467 0.216776i
\(738\) 44.5501 + 38.9919i 1.63991 + 1.43531i
\(739\) 11.8579 + 20.5385i 0.436199 + 0.755519i 0.997393 0.0721655i \(-0.0229910\pi\)
−0.561193 + 0.827685i \(0.689658\pi\)
\(740\) 14.1260 5.08767i 0.519284 0.187026i
\(741\) 36.3940 1.33697
\(742\) 2.76211 + 2.22710i 0.101400 + 0.0817595i
\(743\) 4.32810 0.158783 0.0793914 0.996844i \(-0.474702\pi\)
0.0793914 + 0.996844i \(0.474702\pi\)
\(744\) 63.7415 31.6679i 2.33688 1.16100i
\(745\) 17.4276 + 19.2237i 0.638498 + 0.704303i
\(746\) −21.7395 + 24.8383i −0.795938 + 0.909396i
\(747\) −24.0496 + 41.6551i −0.879928 + 1.52408i
\(748\) 9.52587 7.33927i 0.348300 0.268350i
\(749\) 25.9350 1.04812i 0.947645 0.0382974i
\(750\) −28.7803 + 41.7032i −1.05091 + 1.52278i
\(751\) −1.87523 1.08267i −0.0684282 0.0395071i 0.465396 0.885103i \(-0.345912\pi\)
−0.533824 + 0.845596i \(0.679245\pi\)
\(752\) 3.47998 + 12.7861i 0.126902 + 0.466259i
\(753\) −30.5942 + 17.6636i −1.11492 + 0.643697i
\(754\) 19.0008 + 3.76007i 0.691968 + 0.136934i
\(755\) −33.8356 + 7.31207i −1.23140 + 0.266113i
\(756\) 71.3214 12.4821i 2.59393 0.453970i
\(757\) 21.9602 0.798158 0.399079 0.916917i \(-0.369330\pi\)
0.399079 + 0.916917i \(0.369330\pi\)
\(758\) −13.2548 2.62300i −0.481437 0.0952717i
\(759\) −22.7202 39.3525i −0.824691 1.42841i
\(760\) −3.70046 24.4294i −0.134230 0.886146i
\(761\) −5.54542 3.20165i −0.201021 0.116060i 0.396110 0.918203i \(-0.370360\pi\)
−0.597132 + 0.802143i \(0.703693\pi\)
\(762\) 25.2188 + 74.0527i 0.913579 + 2.68265i
\(763\) 4.08769 7.79062i 0.147984 0.282039i
\(764\) 3.75677 + 4.87604i 0.135915 + 0.176409i
\(765\) 37.6143 + 12.0807i 1.35995 + 0.436777i
\(766\) −19.9373 17.4498i −0.720362 0.630488i
\(767\) −10.7661 18.6474i −0.388741 0.673320i
\(768\) −44.2020 + 25.9858i −1.59500 + 0.937682i
\(769\) 12.2214i 0.440714i 0.975419 + 0.220357i \(0.0707222\pi\)
−0.975419 + 0.220357i \(0.929278\pi\)
\(770\) 11.3688 + 17.2975i 0.409704 + 0.623359i
\(771\) −99.5706 −3.58595
\(772\) −37.4262 + 5.00216i −1.34700 + 0.180032i
\(773\) −41.6408 + 24.0413i −1.49772 + 0.864706i −0.999997 0.00263190i \(-0.999162\pi\)
−0.497719 + 0.867338i \(0.665829\pi\)
\(774\) 5.90920 + 5.17196i 0.212402 + 0.185902i
\(775\)