Properties

Label 273.2.r.b.68.7
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.7
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.26

$q$-expansion

\(f(q)\) \(=\) \(q-1.85355i q^{2} +(-1.03215 + 1.39092i) q^{3} -1.43566 q^{4} +(-0.852778 + 1.47706i) q^{5} +(2.57815 + 1.91315i) q^{6} +(-1.51863 - 2.16651i) q^{7} -1.04604i q^{8} +(-0.869331 - 2.87128i) q^{9} +O(q^{10})\) \(q-1.85355i q^{2} +(-1.03215 + 1.39092i) q^{3} -1.43566 q^{4} +(-0.852778 + 1.47706i) q^{5} +(2.57815 + 1.91315i) q^{6} +(-1.51863 - 2.16651i) q^{7} -1.04604i q^{8} +(-0.869331 - 2.87128i) q^{9} +(2.73780 + 1.58067i) q^{10} +(-5.10770 - 2.94893i) q^{11} +(1.48182 - 1.99689i) q^{12} +(1.91308 - 3.05616i) q^{13} +(-4.01574 + 2.81487i) q^{14} +(-1.17427 - 2.71069i) q^{15} -4.81020 q^{16} -2.02792 q^{17} +(-5.32207 + 1.61135i) q^{18} +(2.53036 - 1.46090i) q^{19} +(1.22430 - 2.12055i) q^{20} +(4.58090 + 0.123861i) q^{21} +(-5.46600 + 9.46739i) q^{22} +1.17042i q^{23} +(1.45496 + 1.07967i) q^{24} +(1.04554 + 1.81092i) q^{25} +(-5.66476 - 3.54600i) q^{26} +(4.89101 + 1.75442i) q^{27} +(2.18024 + 3.11036i) q^{28} +(5.45821 - 3.15130i) q^{29} +(-5.02441 + 2.17658i) q^{30} +(-5.85435 + 3.38001i) q^{31} +6.82389i q^{32} +(9.37365 - 4.06067i) q^{33} +3.75885i q^{34} +(4.49511 - 0.395554i) q^{35} +(1.24806 + 4.12218i) q^{36} -4.49439 q^{37} +(-2.70786 - 4.69015i) q^{38} +(2.27629 + 5.81537i) q^{39} +(1.54506 + 0.892039i) q^{40} +(-0.511145 - 0.885329i) q^{41} +(0.229583 - 8.49094i) q^{42} +(-1.28948 + 2.23345i) q^{43} +(7.33291 + 4.23366i) q^{44} +(4.98239 + 1.16452i) q^{45} +2.16944 q^{46} +(1.23835 - 2.14488i) q^{47} +(4.96485 - 6.69062i) q^{48} +(-2.38751 + 6.58026i) q^{49} +(3.35665 - 1.93796i) q^{50} +(2.09312 - 2.82068i) q^{51} +(-2.74653 + 4.38760i) q^{52} +(7.05517 - 4.07331i) q^{53} +(3.25192 - 9.06575i) q^{54} +(8.71147 - 5.02957i) q^{55} +(-2.26625 + 1.58855i) q^{56} +(-0.579708 + 5.02740i) q^{57} +(-5.84110 - 10.1171i) q^{58} -7.06857 q^{59} +(1.68586 + 3.89163i) q^{60} +(-8.97486 + 5.18164i) q^{61} +(6.26503 + 10.8514i) q^{62} +(-4.90046 + 6.24384i) q^{63} +3.02803 q^{64} +(2.88268 + 5.43196i) q^{65} +(-7.52667 - 17.3746i) q^{66} +(6.48613 - 11.2343i) q^{67} +2.91140 q^{68} +(-1.62797 - 1.20805i) q^{69} +(-0.733181 - 8.33192i) q^{70} +(-12.2430 - 7.06851i) q^{71} +(-3.00347 + 0.909353i) q^{72} +(9.15932 - 5.28814i) q^{73} +8.33058i q^{74} +(-3.59801 - 0.414885i) q^{75} +(-3.63273 + 2.09736i) q^{76} +(1.36784 + 15.5442i) q^{77} +(10.7791 - 4.21923i) q^{78} +(4.67411 - 8.09579i) q^{79} +(4.10204 - 7.10494i) q^{80} +(-7.48853 + 4.99219i) q^{81} +(-1.64100 + 0.947434i) q^{82} +5.87137 q^{83} +(-6.57661 - 0.177822i) q^{84} +(1.72936 - 2.99535i) q^{85} +(4.13982 + 2.39012i) q^{86} +(-1.25048 + 10.8446i) q^{87} +(-3.08469 + 5.34285i) q^{88} +15.7262 q^{89} +(2.15850 - 9.23512i) q^{90} +(-9.52646 + 0.496481i) q^{91} -1.68033i q^{92} +(1.34124 - 11.6316i) q^{93} +(-3.97565 - 2.29534i) q^{94} +4.98331i q^{95} +(-9.49150 - 7.04328i) q^{96} +(2.68318 + 1.54914i) q^{97} +(12.1969 + 4.42537i) q^{98} +(-4.02694 + 17.2292i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.85355i 1.31066i −0.755343 0.655330i \(-0.772530\pi\)
0.755343 0.655330i \(-0.227470\pi\)
\(3\) −1.03215 + 1.39092i −0.595912 + 0.803049i
\(4\) −1.43566 −0.717829
\(5\) −0.852778 + 1.47706i −0.381374 + 0.660559i −0.991259 0.131931i \(-0.957882\pi\)
0.609885 + 0.792490i \(0.291216\pi\)
\(6\) 2.57815 + 1.91315i 1.05252 + 0.781038i
\(7\) −1.51863 2.16651i −0.573989 0.818863i
\(8\) 1.04604i 0.369830i
\(9\) −0.869331 2.87128i −0.289777 0.957094i
\(10\) 2.73780 + 1.58067i 0.865768 + 0.499852i
\(11\) −5.10770 2.94893i −1.54003 0.889137i −0.998836 0.0482387i \(-0.984639\pi\)
−0.541194 0.840898i \(-0.682027\pi\)
\(12\) 1.48182 1.99689i 0.427763 0.576452i
\(13\) 1.91308 3.05616i 0.530593 0.847626i
\(14\) −4.01574 + 2.81487i −1.07325 + 0.752305i
\(15\) −1.17427 2.71069i −0.303196 0.699898i
\(16\) −4.81020 −1.20255
\(17\) −2.02792 −0.491842 −0.245921 0.969290i \(-0.579090\pi\)
−0.245921 + 0.969290i \(0.579090\pi\)
\(18\) −5.32207 + 1.61135i −1.25442 + 0.379799i
\(19\) 2.53036 1.46090i 0.580504 0.335154i −0.180830 0.983514i \(-0.557878\pi\)
0.761334 + 0.648360i \(0.224545\pi\)
\(20\) 1.22430 2.12055i 0.273761 0.474169i
\(21\) 4.58090 + 0.123861i 0.999635 + 0.0270287i
\(22\) −5.46600 + 9.46739i −1.16536 + 2.01845i
\(23\) 1.17042i 0.244050i 0.992527 + 0.122025i \(0.0389389\pi\)
−0.992527 + 0.122025i \(0.961061\pi\)
\(24\) 1.45496 + 1.07967i 0.296992 + 0.220386i
\(25\) 1.04554 + 1.81092i 0.209108 + 0.362185i
\(26\) −5.66476 3.54600i −1.11095 0.695427i
\(27\) 4.89101 + 1.75442i 0.941276 + 0.337639i
\(28\) 2.18024 + 3.11036i 0.412026 + 0.587803i
\(29\) 5.45821 3.15130i 1.01356 0.585182i 0.101331 0.994853i \(-0.467690\pi\)
0.912233 + 0.409671i \(0.134356\pi\)
\(30\) −5.02441 + 2.17658i −0.917328 + 0.397387i
\(31\) −5.85435 + 3.38001i −1.05147 + 0.607068i −0.923061 0.384653i \(-0.874321\pi\)
−0.128412 + 0.991721i \(0.540988\pi\)
\(32\) 6.82389i 1.20630i
\(33\) 9.37365 4.06067i 1.63174 0.706873i
\(34\) 3.75885i 0.644638i
\(35\) 4.49511 0.395554i 0.759812 0.0668609i
\(36\) 1.24806 + 4.12218i 0.208010 + 0.687030i
\(37\) −4.49439 −0.738873 −0.369436 0.929256i \(-0.620449\pi\)
−0.369436 + 0.929256i \(0.620449\pi\)
\(38\) −2.70786 4.69015i −0.439273 0.760843i
\(39\) 2.27629 + 5.81537i 0.364499 + 0.931204i
\(40\) 1.54506 + 0.892039i 0.244295 + 0.141044i
\(41\) −0.511145 0.885329i −0.0798274 0.138265i 0.823348 0.567537i \(-0.192104\pi\)
−0.903175 + 0.429272i \(0.858770\pi\)
\(42\) 0.229583 8.49094i 0.0354254 1.31018i
\(43\) −1.28948 + 2.23345i −0.196644 + 0.340598i −0.947438 0.319939i \(-0.896338\pi\)
0.750794 + 0.660536i \(0.229671\pi\)
\(44\) 7.33291 + 4.23366i 1.10548 + 0.638248i
\(45\) 4.98239 + 1.16452i 0.742731 + 0.173596i
\(46\) 2.16944 0.319867
\(47\) 1.23835 2.14488i 0.180631 0.312863i −0.761464 0.648207i \(-0.775519\pi\)
0.942096 + 0.335344i \(0.108853\pi\)
\(48\) 4.96485 6.69062i 0.716615 0.965708i
\(49\) −2.38751 + 6.58026i −0.341073 + 0.940037i
\(50\) 3.35665 1.93796i 0.474701 0.274069i
\(51\) 2.09312 2.82068i 0.293095 0.394974i
\(52\) −2.74653 + 4.38760i −0.380875 + 0.608451i
\(53\) 7.05517 4.07331i 0.969103 0.559512i 0.0701401 0.997537i \(-0.477655\pi\)
0.898963 + 0.438025i \(0.144322\pi\)
\(54\) 3.25192 9.06575i 0.442530 1.23369i
\(55\) 8.71147 5.02957i 1.17465 0.678187i
\(56\) −2.26625 + 1.58855i −0.302840 + 0.212279i
\(57\) −0.579708 + 5.02740i −0.0767842 + 0.665896i
\(58\) −5.84110 10.1171i −0.766974 1.32844i
\(59\) −7.06857 −0.920250 −0.460125 0.887854i \(-0.652195\pi\)
−0.460125 + 0.887854i \(0.652195\pi\)
\(60\) 1.68586 + 3.89163i 0.217643 + 0.502407i
\(61\) −8.97486 + 5.18164i −1.14911 + 0.663441i −0.948671 0.316265i \(-0.897571\pi\)
−0.200442 + 0.979706i \(0.564238\pi\)
\(62\) 6.26503 + 10.8514i 0.795660 + 1.37812i
\(63\) −4.90046 + 6.24384i −0.617400 + 0.786649i
\(64\) 3.02803 0.378504
\(65\) 2.88268 + 5.43196i 0.357553 + 0.673751i
\(66\) −7.52667 17.3746i −0.926469 2.13866i
\(67\) 6.48613 11.2343i 0.792407 1.37249i −0.132066 0.991241i \(-0.542161\pi\)
0.924473 0.381248i \(-0.124506\pi\)
\(68\) 2.91140 0.353059
\(69\) −1.62797 1.20805i −0.195985 0.145433i
\(70\) −0.733181 8.33192i −0.0876319 0.995855i
\(71\) −12.2430 7.06851i −1.45298 0.838877i −0.454329 0.890834i \(-0.650121\pi\)
−0.998649 + 0.0519567i \(0.983454\pi\)
\(72\) −3.00347 + 0.909353i −0.353962 + 0.107168i
\(73\) 9.15932 5.28814i 1.07202 0.618930i 0.143286 0.989681i \(-0.454233\pi\)
0.928732 + 0.370752i \(0.120900\pi\)
\(74\) 8.33058i 0.968411i
\(75\) −3.59801 0.414885i −0.415462 0.0479068i
\(76\) −3.63273 + 2.09736i −0.416703 + 0.240583i
\(77\) 1.36784 + 15.5442i 0.155880 + 1.77143i
\(78\) 10.7791 4.21923i 1.22049 0.477734i
\(79\) 4.67411 8.09579i 0.525878 0.910848i −0.473667 0.880704i \(-0.657070\pi\)
0.999546 0.0301441i \(-0.00959663\pi\)
\(80\) 4.10204 7.10494i 0.458622 0.794356i
\(81\) −7.48853 + 4.99219i −0.832059 + 0.554688i
\(82\) −1.64100 + 0.947434i −0.181219 + 0.104627i
\(83\) 5.87137 0.644467 0.322233 0.946660i \(-0.395566\pi\)
0.322233 + 0.946660i \(0.395566\pi\)
\(84\) −6.57661 0.177822i −0.717567 0.0194020i
\(85\) 1.72936 2.99535i 0.187576 0.324891i
\(86\) 4.13982 + 2.39012i 0.446408 + 0.257734i
\(87\) −1.25048 + 10.8446i −0.134066 + 1.16266i
\(88\) −3.08469 + 5.34285i −0.328830 + 0.569550i
\(89\) 15.7262 1.66698 0.833489 0.552536i \(-0.186340\pi\)
0.833489 + 0.552536i \(0.186340\pi\)
\(90\) 2.15850 9.23512i 0.227525 0.973467i
\(91\) −9.52646 + 0.496481i −0.998645 + 0.0520453i
\(92\) 1.68033i 0.175186i
\(93\) 1.34124 11.6316i 0.139080 1.20614i
\(94\) −3.97565 2.29534i −0.410057 0.236746i
\(95\) 4.98331i 0.511276i
\(96\) −9.49150 7.04328i −0.968722 0.718852i
\(97\) 2.68318 + 1.54914i 0.272436 + 0.157291i 0.629994 0.776600i \(-0.283057\pi\)
−0.357558 + 0.933891i \(0.616391\pi\)
\(98\) 12.1969 + 4.42537i 1.23207 + 0.447030i
\(99\) −4.02694 + 17.2292i −0.404722 + 1.73160i
\(100\) −1.50103 2.59987i −0.150103 0.259987i
\(101\) 3.92553 6.79921i 0.390604 0.676547i −0.601925 0.798553i \(-0.705599\pi\)
0.992529 + 0.122006i \(0.0389327\pi\)
\(102\) −5.22827 3.87970i −0.517676 0.384148i
\(103\) 10.6387 + 6.14225i 1.04826 + 0.605214i 0.922162 0.386804i \(-0.126421\pi\)
0.126099 + 0.992018i \(0.459754\pi\)
\(104\) −3.19686 2.00116i −0.313478 0.196229i
\(105\) −4.08944 + 6.66062i −0.399089 + 0.650010i
\(106\) −7.55009 13.0771i −0.733329 1.27016i
\(107\) 10.9669i 1.06021i −0.847932 0.530105i \(-0.822152\pi\)
0.847932 0.530105i \(-0.177848\pi\)
\(108\) −7.02182 2.51875i −0.675675 0.242367i
\(109\) −0.818867 1.41832i −0.0784332 0.135850i 0.824141 0.566385i \(-0.191658\pi\)
−0.902574 + 0.430535i \(0.858325\pi\)
\(110\) −9.32258 16.1472i −0.888873 1.53957i
\(111\) 4.63888 6.25134i 0.440303 0.593351i
\(112\) 7.30493 + 10.4213i 0.690251 + 0.984724i
\(113\) −2.12969 1.22958i −0.200345 0.115669i 0.396472 0.918047i \(-0.370235\pi\)
−0.596816 + 0.802378i \(0.703568\pi\)
\(114\) 9.31856 + 1.07452i 0.872763 + 0.100638i
\(115\) −1.72878 0.998113i −0.161210 0.0930745i
\(116\) −7.83613 + 4.52419i −0.727566 + 0.420060i
\(117\) −10.4382 2.83618i −0.965012 0.262205i
\(118\) 13.1020i 1.20613i
\(119\) 3.07966 + 4.39350i 0.282312 + 0.402751i
\(120\) −2.83549 + 1.22834i −0.258843 + 0.112131i
\(121\) 11.8924 + 20.5982i 1.08113 + 1.87257i
\(122\) 9.60444 + 16.6354i 0.869545 + 1.50610i
\(123\) 1.75900 + 0.202830i 0.158604 + 0.0182885i
\(124\) 8.40485 4.85254i 0.754778 0.435771i
\(125\) −12.0942 −1.08174
\(126\) 11.5733 + 9.08326i 1.03103 + 0.809201i
\(127\) 0.804031 + 1.39262i 0.0713462 + 0.123575i 0.899492 0.436938i \(-0.143937\pi\)
−0.828145 + 0.560513i \(0.810604\pi\)
\(128\) 8.03516i 0.710214i
\(129\) −1.77561 4.09883i −0.156334 0.360881i
\(130\) 10.0684 5.34321i 0.883059 0.468630i
\(131\) −3.13878 + 5.43653i −0.274236 + 0.474991i −0.969942 0.243335i \(-0.921758\pi\)
0.695706 + 0.718327i \(0.255092\pi\)
\(132\) −13.4574 + 5.82974i −1.17131 + 0.507414i
\(133\) −7.00774 3.26346i −0.607648 0.282978i
\(134\) −20.8234 12.0224i −1.79887 1.03858i
\(135\) −6.76233 + 5.72816i −0.582009 + 0.493002i
\(136\) 2.12128i 0.181898i
\(137\) 3.43613i 0.293569i 0.989169 + 0.146784i \(0.0468923\pi\)
−0.989169 + 0.146784i \(0.953108\pi\)
\(138\) −2.23919 + 3.01753i −0.190613 + 0.256869i
\(139\) −11.3521 6.55412i −0.962870 0.555913i −0.0658145 0.997832i \(-0.520965\pi\)
−0.897055 + 0.441919i \(0.854298\pi\)
\(140\) −6.45344 + 0.567881i −0.545415 + 0.0479947i
\(141\) 1.70520 + 3.93628i 0.143604 + 0.331495i
\(142\) −13.1018 + 22.6931i −1.09948 + 1.90436i
\(143\) −18.7839 + 9.96841i −1.57079 + 0.833600i
\(144\) 4.18166 + 13.8115i 0.348471 + 1.15095i
\(145\) 10.7494i 0.892693i
\(146\) −9.80184 16.9773i −0.811206 1.40505i
\(147\) −6.68836 10.1127i −0.551647 0.834078i
\(148\) 6.45240 0.530384
\(149\) 9.39815 5.42603i 0.769927 0.444517i −0.0629217 0.998018i \(-0.520042\pi\)
0.832848 + 0.553501i \(0.186709\pi\)
\(150\) −0.769011 + 6.66910i −0.0627895 + 0.544530i
\(151\) −3.04686 5.27731i −0.247950 0.429462i 0.715007 0.699117i \(-0.246423\pi\)
−0.962957 + 0.269656i \(0.913090\pi\)
\(152\) −1.52816 2.64685i −0.123950 0.214688i
\(153\) 1.76293 + 5.82273i 0.142525 + 0.470740i
\(154\) 28.8120 2.53536i 2.32174 0.204305i
\(155\) 11.5296i 0.926080i
\(156\) −3.26798 8.34888i −0.261648 0.668445i
\(157\) −3.07686 + 1.77643i −0.245561 + 0.141774i −0.617730 0.786390i \(-0.711947\pi\)
0.372169 + 0.928165i \(0.378614\pi\)
\(158\) −15.0060 8.66371i −1.19381 0.689248i
\(159\) −1.61635 + 14.0175i −0.128185 + 1.11166i
\(160\) −10.0793 5.81926i −0.796836 0.460053i
\(161\) 2.53573 1.77745i 0.199844 0.140082i
\(162\) 9.25328 + 13.8804i 0.727007 + 1.09055i
\(163\) 2.37118 + 4.10700i 0.185725 + 0.321685i 0.943821 0.330458i \(-0.107203\pi\)
−0.758096 + 0.652144i \(0.773870\pi\)
\(164\) 0.733829 + 1.27103i 0.0573024 + 0.0992507i
\(165\) −1.99581 + 17.3083i −0.155373 + 1.34745i
\(166\) 10.8829i 0.844677i
\(167\) 4.09604 + 7.09455i 0.316961 + 0.548992i 0.979852 0.199723i \(-0.0640043\pi\)
−0.662891 + 0.748716i \(0.730671\pi\)
\(168\) 0.129563 4.79180i 0.00999603 0.369695i
\(169\) −5.68024 11.6934i −0.436941 0.899490i
\(170\) −5.55204 3.20547i −0.425822 0.245848i
\(171\) −6.39438 5.99537i −0.488991 0.458477i
\(172\) 1.85126 3.20647i 0.141157 0.244491i
\(173\) 4.35358 + 7.54063i 0.330997 + 0.573303i 0.982708 0.185164i \(-0.0592817\pi\)
−0.651711 + 0.758468i \(0.725948\pi\)
\(174\) 20.1010 + 2.31783i 1.52385 + 0.175715i
\(175\) 2.33559 5.01530i 0.176554 0.379121i
\(176\) 24.5691 + 14.1850i 1.85196 + 1.06923i
\(177\) 7.29583 9.83184i 0.548388 0.739006i
\(178\) 29.1494i 2.18484i
\(179\) −18.9246 10.9261i −1.41449 0.816655i −0.418681 0.908133i \(-0.637508\pi\)
−0.995807 + 0.0914779i \(0.970841\pi\)
\(180\) −7.15301 1.67185i −0.533154 0.124612i
\(181\) 13.4731i 1.00145i −0.865606 0.500725i \(-0.833067\pi\)
0.865606 0.500725i \(-0.166933\pi\)
\(182\) 0.920253 + 17.6578i 0.0682137 + 1.30888i
\(183\) 2.05615 17.8316i 0.151995 1.31815i
\(184\) 1.22431 0.0902572
\(185\) 3.83272 6.63846i 0.281787 0.488069i
\(186\) −21.5598 2.48606i −1.58084 0.182287i
\(187\) 10.3580 + 5.98019i 0.757452 + 0.437315i
\(188\) −1.77784 + 3.07931i −0.129662 + 0.224582i
\(189\) −3.62668 13.2607i −0.263802 0.964577i
\(190\) 9.23682 0.670110
\(191\) 8.31273 4.79936i 0.601488 0.347269i −0.168138 0.985763i \(-0.553776\pi\)
0.769627 + 0.638494i \(0.220442\pi\)
\(192\) −3.12538 + 4.21176i −0.225555 + 0.303957i
\(193\) 4.53181 7.84933i 0.326207 0.565007i −0.655549 0.755153i \(-0.727563\pi\)
0.981756 + 0.190146i \(0.0608960\pi\)
\(194\) 2.87140 4.97342i 0.206155 0.357071i
\(195\) −10.5308 1.59701i −0.754126 0.114364i
\(196\) 3.42764 9.44700i 0.244832 0.674786i
\(197\) 3.54377 2.04600i 0.252483 0.145771i −0.368418 0.929660i \(-0.620100\pi\)
0.620901 + 0.783889i \(0.286767\pi\)
\(198\) 31.9353 + 7.46414i 2.26954 + 0.530453i
\(199\) 3.99290i 0.283049i −0.989935 0.141525i \(-0.954800\pi\)
0.989935 0.141525i \(-0.0452004\pi\)
\(200\) 1.89430 1.09367i 0.133947 0.0773343i
\(201\) 8.93138 + 20.6172i 0.629971 + 1.45422i
\(202\) −12.6027 7.27617i −0.886722 0.511949i
\(203\) −15.1163 7.03959i −1.06096 0.494082i
\(204\) −3.00500 + 4.04953i −0.210392 + 0.283524i
\(205\) 1.74357 0.121776
\(206\) 11.3850 19.7194i 0.793230 1.37391i
\(207\) 3.36062 1.01749i 0.233579 0.0707202i
\(208\) −9.20231 + 14.7008i −0.638065 + 1.01931i
\(209\) −17.2324 −1.19199
\(210\) 12.3458 + 7.58000i 0.851942 + 0.523070i
\(211\) −8.68607 15.0447i −0.597974 1.03572i −0.993120 0.117103i \(-0.962639\pi\)
0.395146 0.918618i \(-0.370694\pi\)
\(212\) −10.1288 + 5.84787i −0.695650 + 0.401634i
\(213\) 22.4684 9.73332i 1.53951 0.666916i
\(214\) −20.3277 −1.38958
\(215\) −2.19929 3.80927i −0.149990 0.259790i
\(216\) 1.83519 5.11618i 0.124869 0.348112i
\(217\) 16.2134 + 7.55050i 1.10064 + 0.512561i
\(218\) −2.62893 + 1.51781i −0.178054 + 0.102799i
\(219\) −2.09841 + 18.1981i −0.141797 + 1.22971i
\(220\) −12.5067 + 7.22074i −0.843201 + 0.486822i
\(221\) −3.87957 + 6.19764i −0.260968 + 0.416899i
\(222\) −11.5872 8.59842i −0.777682 0.577088i
\(223\) 14.1553 8.17254i 0.947906 0.547274i 0.0554762 0.998460i \(-0.482332\pi\)
0.892430 + 0.451186i \(0.148999\pi\)
\(224\) 14.7840 10.3630i 0.987798 0.692406i
\(225\) 4.29076 4.57633i 0.286051 0.305089i
\(226\) −2.27909 + 3.94750i −0.151603 + 0.262584i
\(227\) −22.0511 −1.46359 −0.731793 0.681527i \(-0.761316\pi\)
−0.731793 + 0.681527i \(0.761316\pi\)
\(228\) 0.832262 7.21763i 0.0551179 0.477999i
\(229\) −11.4900 6.63377i −0.759282 0.438372i 0.0697557 0.997564i \(-0.477778\pi\)
−0.829038 + 0.559192i \(0.811111\pi\)
\(230\) −1.85006 + 3.20439i −0.121989 + 0.211291i
\(231\) −23.0326 14.1414i −1.51543 0.930437i
\(232\) −3.29638 5.70950i −0.216418 0.374847i
\(233\) 17.7667 + 10.2576i 1.16393 + 0.671997i 0.952243 0.305340i \(-0.0987702\pi\)
0.211689 + 0.977337i \(0.432104\pi\)
\(234\) −5.25702 + 19.3478i −0.343662 + 1.26480i
\(235\) 2.11207 + 3.65821i 0.137776 + 0.238636i
\(236\) 10.1481 0.660582
\(237\) 6.43624 + 14.8574i 0.418079 + 0.965092i
\(238\) 8.14358 5.70832i 0.527870 0.370015i
\(239\) 5.80711i 0.375631i 0.982204 + 0.187815i \(0.0601407\pi\)
−0.982204 + 0.187815i \(0.939859\pi\)
\(240\) 5.64850 + 13.0390i 0.364609 + 0.841662i
\(241\) 3.95794i 0.254953i 0.991842 + 0.127477i \(0.0406878\pi\)
−0.991842 + 0.127477i \(0.959312\pi\)
\(242\) 38.1799 22.0432i 2.45430 1.41699i
\(243\) 0.785542 15.5687i 0.0503926 0.998729i
\(244\) 12.8848 7.43906i 0.824867 0.476237i
\(245\) −7.68339 9.13798i −0.490874 0.583804i
\(246\) 0.375956 3.26040i 0.0239701 0.207876i
\(247\) 0.376028 10.5280i 0.0239261 0.669881i
\(248\) 3.53562 + 6.12388i 0.224512 + 0.388866i
\(249\) −6.06014 + 8.16663i −0.384046 + 0.517539i
\(250\) 22.4173i 1.41779i
\(251\) −3.79735 + 6.57721i −0.239687 + 0.415150i −0.960624 0.277850i \(-0.910378\pi\)
0.720938 + 0.693000i \(0.243711\pi\)
\(252\) 7.03539 8.96401i 0.443188 0.564680i
\(253\) 3.45150 5.97818i 0.216994 0.375845i
\(254\) 2.58130 1.49031i 0.161965 0.0935106i
\(255\) 2.38133 + 5.49706i 0.149125 + 0.344239i
\(256\) 20.9497 1.30935
\(257\) −7.56207 −0.471709 −0.235855 0.971788i \(-0.575789\pi\)
−0.235855 + 0.971788i \(0.575789\pi\)
\(258\) −7.59739 + 3.29119i −0.472993 + 0.204901i
\(259\) 6.82532 + 9.73712i 0.424105 + 0.605035i
\(260\) −4.13855 7.79843i −0.256662 0.483638i
\(261\) −13.7933 12.9325i −0.853782 0.800505i
\(262\) 10.0769 + 5.81789i 0.622552 + 0.359431i
\(263\) 19.3605 + 11.1778i 1.19382 + 0.689253i 0.959171 0.282827i \(-0.0912724\pi\)
0.234650 + 0.972080i \(0.424606\pi\)
\(264\) −4.24762 9.80520i −0.261423 0.603468i
\(265\) 13.8945i 0.853533i
\(266\) −6.04900 + 12.9892i −0.370888 + 0.796420i
\(267\) −16.2318 + 21.8740i −0.993372 + 1.33867i
\(268\) −9.31186 + 16.1286i −0.568812 + 0.985212i
\(269\) 5.85375 0.356910 0.178455 0.983948i \(-0.442890\pi\)
0.178455 + 0.983948i \(0.442890\pi\)
\(270\) 10.6174 + 12.5343i 0.646157 + 0.762816i
\(271\) 29.5545i 1.79531i 0.440698 + 0.897655i \(0.354731\pi\)
−0.440698 + 0.897655i \(0.645269\pi\)
\(272\) 9.75470 0.591465
\(273\) 9.14218 13.7630i 0.553310 0.832976i
\(274\) 6.36905 0.384769
\(275\) 12.3329i 0.743701i
\(276\) 2.33721 + 1.73435i 0.140683 + 0.104396i
\(277\) 20.4403 1.22814 0.614069 0.789252i \(-0.289532\pi\)
0.614069 + 0.789252i \(0.289532\pi\)
\(278\) −12.1484 + 21.0417i −0.728613 + 1.26199i
\(279\) 14.7943 + 13.8712i 0.885714 + 0.830444i
\(280\) −0.413765 4.70205i −0.0247272 0.281001i
\(281\) 2.67114i 0.159347i 0.996821 + 0.0796735i \(0.0253878\pi\)
−0.996821 + 0.0796735i \(0.974612\pi\)
\(282\) 7.29611 3.16068i 0.434477 0.188216i
\(283\) −7.24808 4.18468i −0.430853 0.248753i 0.268857 0.963180i \(-0.413354\pi\)
−0.699710 + 0.714427i \(0.746688\pi\)
\(284\) 17.5768 + 10.1480i 1.04299 + 0.602170i
\(285\) −6.93139 5.14352i −0.410580 0.304676i
\(286\) 18.4770 + 34.8169i 1.09257 + 2.05877i
\(287\) −1.14183 + 2.45189i −0.0674001 + 0.144730i
\(288\) 19.5933 5.93221i 1.15455 0.349559i
\(289\) −12.8875 −0.758091
\(290\) 19.9247 1.17002
\(291\) −4.92417 + 2.13316i −0.288660 + 0.125048i
\(292\) −13.1497 + 7.59196i −0.769525 + 0.444286i
\(293\) 5.49797 9.52277i 0.321195 0.556326i −0.659540 0.751669i \(-0.729249\pi\)
0.980735 + 0.195344i \(0.0625822\pi\)
\(294\) −18.7443 + 12.3972i −1.09319 + 0.723021i
\(295\) 6.02793 10.4407i 0.350959 0.607879i
\(296\) 4.70130i 0.273257i
\(297\) −19.8081 23.3843i −1.14939 1.35690i
\(298\) −10.0574 17.4200i −0.582611 1.00911i
\(299\) 3.57701 + 2.23912i 0.206864 + 0.129492i
\(300\) 5.16551 + 0.595633i 0.298231 + 0.0343889i
\(301\) 6.79703 0.598116i 0.391774 0.0344748i
\(302\) −9.78178 + 5.64751i −0.562878 + 0.324978i
\(303\) 5.40544 + 12.4779i 0.310534 + 0.716837i
\(304\) −12.1715 + 7.02724i −0.698085 + 0.403040i
\(305\) 17.6752i 1.01208i
\(306\) 10.7927 3.26769i 0.616979 0.186801i
\(307\) 16.2231i 0.925902i −0.886384 0.462951i \(-0.846791\pi\)
0.886384 0.462951i \(-0.153209\pi\)
\(308\) −1.96375 22.3162i −0.111895 1.27158i
\(309\) −19.5241 + 8.45787i −1.11069 + 0.481151i
\(310\) −21.3707 −1.21378
\(311\) 0.984021 + 1.70438i 0.0557987 + 0.0966462i 0.892576 0.450898i \(-0.148896\pi\)
−0.836777 + 0.547544i \(0.815563\pi\)
\(312\) 6.08309 2.38109i 0.344387 0.134803i
\(313\) −23.2505 13.4237i −1.31420 0.758751i −0.331407 0.943488i \(-0.607523\pi\)
−0.982788 + 0.184737i \(0.940857\pi\)
\(314\) 3.29270 + 5.70313i 0.185818 + 0.321846i
\(315\) −5.04348 12.5629i −0.284168 0.707837i
\(316\) −6.71042 + 11.6228i −0.377491 + 0.653833i
\(317\) −10.3181 5.95718i −0.579524 0.334589i 0.181420 0.983406i \(-0.441931\pi\)
−0.760944 + 0.648817i \(0.775264\pi\)
\(318\) 25.9821 + 2.99599i 1.45700 + 0.168007i
\(319\) −37.1719 −2.08123
\(320\) −2.58224 + 4.47257i −0.144352 + 0.250024i
\(321\) 15.2541 + 11.3195i 0.851401 + 0.631793i
\(322\) −3.29459 4.70012i −0.183600 0.261927i
\(323\) −5.13136 + 2.96259i −0.285517 + 0.164843i
\(324\) 10.7510 7.16707i 0.597276 0.398171i
\(325\) 7.53468 + 0.269115i 0.417949 + 0.0149278i
\(326\) 7.61255 4.39511i 0.421620 0.243422i
\(327\) 2.81797 + 0.324938i 0.155834 + 0.0179691i
\(328\) −0.926087 + 0.534677i −0.0511346 + 0.0295226i
\(329\) −6.52749 + 0.574397i −0.359872 + 0.0316675i
\(330\) 32.0818 + 3.69934i 1.76604 + 0.203642i
\(331\) 3.54660 + 6.14289i 0.194939 + 0.337644i 0.946880 0.321586i \(-0.104216\pi\)
−0.751942 + 0.659229i \(0.770883\pi\)
\(332\) −8.42928 −0.462617
\(333\) 3.90711 + 12.9047i 0.214108 + 0.707171i
\(334\) 13.1501 7.59222i 0.719542 0.415428i
\(335\) 11.0625 + 19.1607i 0.604407 + 1.04686i
\(336\) −22.0351 0.595796i −1.20211 0.0325034i
\(337\) −19.1195 −1.04151 −0.520753 0.853707i \(-0.674349\pi\)
−0.520753 + 0.853707i \(0.674349\pi\)
\(338\) −21.6743 + 10.5286i −1.17893 + 0.572681i
\(339\) 3.90841 1.69313i 0.212276 0.0919580i
\(340\) −2.48278 + 4.30029i −0.134647 + 0.233216i
\(341\) 39.8697 2.15907
\(342\) −11.1127 + 11.8523i −0.600908 + 0.640901i
\(343\) 17.8819 4.82044i 0.965533 0.260280i
\(344\) 2.33627 + 1.34885i 0.125963 + 0.0727250i
\(345\) 3.17266 1.37440i 0.170810 0.0739952i
\(346\) 13.9770 8.06960i 0.751406 0.433824i
\(347\) 4.51502i 0.242379i 0.992629 + 0.121189i \(0.0386708\pi\)
−0.992629 + 0.121189i \(0.961329\pi\)
\(348\) 1.79526 15.5691i 0.0962363 0.834591i
\(349\) 8.50567 4.91075i 0.455298 0.262866i −0.254767 0.967002i \(-0.581999\pi\)
0.710065 + 0.704136i \(0.248665\pi\)
\(350\) −9.29612 4.32915i −0.496898 0.231403i
\(351\) 14.7187 11.5914i 0.785627 0.618701i
\(352\) 20.1232 34.8544i 1.07257 1.85774i
\(353\) −12.9850 + 22.4907i −0.691121 + 1.19706i 0.280350 + 0.959898i \(0.409549\pi\)
−0.971471 + 0.237159i \(0.923784\pi\)
\(354\) −18.2238 13.5232i −0.968585 0.718750i
\(355\) 20.8812 12.0557i 1.10826 0.639852i
\(356\) −22.5775 −1.19660
\(357\) −9.28969 0.251180i −0.491663 0.0132939i
\(358\) −20.2521 + 35.0777i −1.07036 + 1.85391i
\(359\) 9.31277 + 5.37673i 0.491509 + 0.283773i 0.725200 0.688538i \(-0.241747\pi\)
−0.233691 + 0.972311i \(0.575080\pi\)
\(360\) 1.21813 5.21177i 0.0642011 0.274684i
\(361\) −5.23152 + 9.06126i −0.275343 + 0.476909i
\(362\) −24.9732 −1.31256
\(363\) −40.9253 4.71908i −2.14802 0.247687i
\(364\) 13.6767 0.712777i 0.716856 0.0373596i
\(365\) 18.0384i 0.944175i
\(366\) −33.0517 3.81118i −1.72764 0.199214i
\(367\) 7.61336 + 4.39557i 0.397414 + 0.229447i 0.685368 0.728197i \(-0.259642\pi\)
−0.287954 + 0.957644i \(0.592975\pi\)
\(368\) 5.62998i 0.293483i
\(369\) −2.09768 + 2.23728i −0.109201 + 0.116468i
\(370\) −12.3047 7.10414i −0.639693 0.369327i
\(371\) −19.5391 9.09923i −1.01442 0.472408i
\(372\) −1.92556 + 16.6990i −0.0998356 + 0.865805i
\(373\) −16.6378 28.8175i −0.861473 1.49212i −0.870507 0.492156i \(-0.836209\pi\)
0.00903360 0.999959i \(-0.497124\pi\)
\(374\) 11.0846 19.1991i 0.573171 0.992762i
\(375\) 12.4831 16.8221i 0.644623 0.868692i
\(376\) −2.24363 1.29536i −0.115706 0.0668030i
\(377\) 0.811126 22.7099i 0.0417751 1.16962i
\(378\) −24.5795 + 6.72224i −1.26423 + 0.345755i
\(379\) 17.9896 + 31.1589i 0.924063 + 1.60052i 0.793062 + 0.609141i \(0.208486\pi\)
0.131001 + 0.991382i \(0.458181\pi\)
\(380\) 7.15432i 0.367009i
\(381\) −2.76691 0.319051i −0.141753 0.0163455i
\(382\) −8.89587 15.4081i −0.455152 0.788347i
\(383\) 0.0629654 + 0.109059i 0.00321738 + 0.00557267i 0.867630 0.497211i \(-0.165643\pi\)
−0.864412 + 0.502784i \(0.832309\pi\)
\(384\) −11.1763 8.29349i −0.570337 0.423226i
\(385\) −24.1261 11.2354i −1.22958 0.572609i
\(386\) −14.5492 8.39996i −0.740532 0.427546i
\(387\) 7.53385 + 1.76086i 0.382967 + 0.0895097i
\(388\) −3.85213 2.22403i −0.195562 0.112908i
\(389\) 1.78389 1.02993i 0.0904470 0.0522196i −0.454094 0.890954i \(-0.650037\pi\)
0.544541 + 0.838734i \(0.316704\pi\)
\(390\) −2.96013 + 19.5194i −0.149892 + 0.988402i
\(391\) 2.37353i 0.120034i
\(392\) 6.88320 + 2.49742i 0.347654 + 0.126139i
\(393\) −4.32209 9.97711i −0.218021 0.503279i
\(394\) −3.79236 6.56857i −0.191057 0.330920i
\(395\) 7.97196 + 13.8078i 0.401113 + 0.694748i
\(396\) 5.78131 24.7353i 0.290522 1.24300i
\(397\) 28.1705 16.2643i 1.41384 0.816279i 0.418090 0.908406i \(-0.362700\pi\)
0.995747 + 0.0921260i \(0.0293663\pi\)
\(398\) −7.40105 −0.370981
\(399\) 11.7723 6.37884i 0.589351 0.319341i
\(400\) −5.02925 8.71092i −0.251462 0.435546i
\(401\) 25.6374i 1.28027i −0.768262 0.640136i \(-0.778878\pi\)
0.768262 0.640136i \(-0.221122\pi\)
\(402\) 38.2151 16.5548i 1.90599 0.825678i
\(403\) −0.869995 + 24.3581i −0.0433375 + 1.21336i
\(404\) −5.63571 + 9.76134i −0.280387 + 0.485645i
\(405\) −0.987683 15.3182i −0.0490784 0.761168i
\(406\) −13.0482 + 28.0189i −0.647574 + 1.39056i
\(407\) 22.9560 + 13.2536i 1.13789 + 0.656959i
\(408\) −2.95054 2.18948i −0.146073 0.108395i
\(409\) 20.1886i 0.998263i 0.866526 + 0.499131i \(0.166348\pi\)
−0.866526 + 0.499131i \(0.833652\pi\)
\(410\) 3.23180i 0.159607i
\(411\) −4.77940 3.54661i −0.235750 0.174941i
\(412\) −15.2735 8.81817i −0.752472 0.434440i
\(413\) 10.7346 + 15.3141i 0.528213 + 0.753558i
\(414\) −1.88596 6.22909i −0.0926901 0.306143i
\(415\) −5.00698 + 8.67234i −0.245783 + 0.425709i
\(416\) 20.8549 + 13.0547i 1.02250 + 0.640057i
\(417\) 20.8333 9.02501i 1.02021 0.441956i
\(418\) 31.9412i 1.56230i
\(419\) −5.00334 8.66603i −0.244429 0.423363i 0.717542 0.696515i \(-0.245267\pi\)
−0.961971 + 0.273152i \(0.911934\pi\)
\(420\) 5.87104 9.56237i 0.286478 0.466596i
\(421\) 2.13468 0.104038 0.0520190 0.998646i \(-0.483434\pi\)
0.0520190 + 0.998646i \(0.483434\pi\)
\(422\) −27.8862 + 16.1001i −1.35748 + 0.783740i
\(423\) −7.23509 1.69103i −0.351782 0.0822209i
\(424\) −4.26083 7.37998i −0.206924 0.358403i
\(425\) −2.12027 3.67241i −0.102848 0.178138i
\(426\) −18.0412 41.6463i −0.874100 2.01777i
\(427\) 24.8556 + 11.5751i 1.20285 + 0.560158i
\(428\) 15.7447i 0.761050i
\(429\) 5.52249 36.4158i 0.266628 1.75817i
\(430\) −7.06069 + 4.07649i −0.340497 + 0.196586i
\(431\) −17.6263 10.1765i −0.849027 0.490186i 0.0112952 0.999936i \(-0.496405\pi\)
−0.860323 + 0.509750i \(0.829738\pi\)
\(432\) −23.5268 8.43914i −1.13193 0.406028i
\(433\) 1.68539 + 0.973059i 0.0809945 + 0.0467622i 0.539950 0.841697i \(-0.318443\pi\)
−0.458956 + 0.888459i \(0.651776\pi\)
\(434\) 13.9953 30.0525i 0.671794 1.44256i
\(435\) −14.9516 11.0950i −0.716876 0.531967i
\(436\) 1.17561 + 2.03622i 0.0563016 + 0.0975173i
\(437\) 1.70988 + 2.96159i 0.0817945 + 0.141672i
\(438\) 33.7311 + 3.88951i 1.61173 + 0.185848i
\(439\) 15.1416i 0.722669i −0.932436 0.361334i \(-0.882321\pi\)
0.932436 0.361334i \(-0.117679\pi\)
\(440\) −5.26112 9.11253i −0.250814 0.434423i
\(441\) 20.9693 + 1.13479i 0.998539 + 0.0540376i
\(442\) 11.4877 + 7.19099i 0.546412 + 0.342041i
\(443\) 10.4456 + 6.03079i 0.496287 + 0.286532i 0.727179 0.686448i \(-0.240831\pi\)
−0.230892 + 0.972979i \(0.574164\pi\)
\(444\) −6.65985 + 8.97479i −0.316063 + 0.425925i
\(445\) −13.4110 + 23.2285i −0.635742 + 1.10114i
\(446\) −15.1482 26.2375i −0.717290 1.24238i
\(447\) −2.15313 + 18.6726i −0.101839 + 0.883183i
\(448\) −4.59847 6.56025i −0.217257 0.309943i
\(449\) 27.8555 + 16.0824i 1.31458 + 0.758973i 0.982851 0.184401i \(-0.0590346\pi\)
0.331729 + 0.943375i \(0.392368\pi\)
\(450\) −8.48247 7.95315i −0.399867 0.374915i
\(451\) 6.02933i 0.283910i
\(452\) 3.05751 + 1.76525i 0.143813 + 0.0830305i
\(453\) 10.4851 + 1.20904i 0.492635 + 0.0568056i
\(454\) 40.8729i 1.91826i
\(455\) 7.39063 14.4945i 0.346478 0.679513i
\(456\) 5.25886 + 0.606396i 0.246268 + 0.0283971i
\(457\) −21.3434 −0.998402 −0.499201 0.866486i \(-0.666373\pi\)
−0.499201 + 0.866486i \(0.666373\pi\)
\(458\) −12.2960 + 21.2974i −0.574556 + 0.995161i
\(459\) −9.91857 3.55783i −0.462959 0.166065i
\(460\) 2.48194 + 1.43295i 0.115721 + 0.0668116i
\(461\) −6.30166 + 10.9148i −0.293497 + 0.508352i −0.974634 0.223804i \(-0.928153\pi\)
0.681137 + 0.732156i \(0.261486\pi\)
\(462\) −26.2119 + 42.6922i −1.21949 + 1.98622i
\(463\) −16.8509 −0.783126 −0.391563 0.920151i \(-0.628066\pi\)
−0.391563 + 0.920151i \(0.628066\pi\)
\(464\) −26.2551 + 15.1584i −1.21886 + 0.703711i
\(465\) 16.0368 + 11.9003i 0.743688 + 0.551863i
\(466\) 19.0130 32.9314i 0.880759 1.52552i
\(467\) −13.7962 + 23.8957i −0.638411 + 1.10576i 0.347370 + 0.937728i \(0.387075\pi\)
−0.985781 + 0.168033i \(0.946259\pi\)
\(468\) 14.9857 + 4.07179i 0.692714 + 0.188219i
\(469\) −34.1892 + 3.00854i −1.57871 + 0.138921i
\(470\) 6.78069 3.91483i 0.312770 0.180578i
\(471\) 0.704913 6.11322i 0.0324807 0.281682i
\(472\) 7.39399i 0.340336i
\(473\) 13.1726 7.60519i 0.605676 0.349687i
\(474\) 27.5390 11.9299i 1.26491 0.547959i
\(475\) 5.29117 + 3.05486i 0.242776 + 0.140167i
\(476\) −4.42134 6.30756i −0.202652 0.289107i
\(477\) −17.8289 16.7163i −0.816329 0.765389i
\(478\) 10.7638 0.492324
\(479\) −2.62206 + 4.54155i −0.119805 + 0.207509i −0.919690 0.392644i \(-0.871560\pi\)
0.799885 + 0.600153i \(0.204894\pi\)
\(480\) 18.4975 8.01311i 0.844290 0.365747i
\(481\) −8.59813 + 13.7356i −0.392041 + 0.626288i
\(482\) 7.33625 0.334157
\(483\) −0.144970 + 5.36160i −0.00659636 + 0.243961i
\(484\) −17.0734 29.5720i −0.776065 1.34418i
\(485\) −4.57632 + 2.64214i −0.207800 + 0.119973i
\(486\) −28.8573 1.45604i −1.30899 0.0660475i
\(487\) 13.7690 0.623934 0.311967 0.950093i \(-0.399012\pi\)
0.311967 + 0.950093i \(0.399012\pi\)
\(488\) 5.42019 + 9.38804i 0.245360 + 0.424977i
\(489\) −8.15994 0.940919i −0.369005 0.0425498i
\(490\) −16.9377 + 14.2416i −0.765169 + 0.643369i
\(491\) −4.37984 + 2.52870i −0.197659 + 0.114119i −0.595563 0.803308i \(-0.703071\pi\)
0.397904 + 0.917427i \(0.369738\pi\)
\(492\) −2.52532 0.291194i −0.113850 0.0131280i
\(493\) −11.0688 + 6.39058i −0.498514 + 0.287817i
\(494\) −19.5142 0.696987i −0.877986 0.0313589i
\(495\) −22.0145 20.6407i −0.989477 0.927732i
\(496\) 28.1606 16.2585i 1.26445 0.730030i
\(497\) 3.27867 + 37.2590i 0.147068 + 1.67130i
\(498\) 15.1373 + 11.2328i 0.678317 + 0.503353i
\(499\) −17.5185 + 30.3429i −0.784235 + 1.35833i 0.145221 + 0.989399i \(0.453611\pi\)
−0.929455 + 0.368935i \(0.879722\pi\)
\(500\) 17.3632 0.776505
\(501\) −14.0957 1.62537i −0.629749 0.0726161i
\(502\) 12.1912 + 7.03860i 0.544120 + 0.314148i
\(503\) −1.02137 + 1.76907i −0.0455407 + 0.0788788i −0.887897 0.460042i \(-0.847834\pi\)
0.842357 + 0.538921i \(0.181168\pi\)
\(504\) 6.53129 + 5.12607i 0.290927 + 0.228333i
\(505\) 6.69521 + 11.5964i 0.297933 + 0.516035i
\(506\) −11.0809 6.39754i −0.492605 0.284406i
\(507\) 22.1274 + 4.16855i 0.982714 + 0.185132i
\(508\) −1.15431 1.99933i −0.0512144 0.0887059i
\(509\) −7.01737 −0.311039 −0.155520 0.987833i \(-0.549705\pi\)
−0.155520 + 0.987833i \(0.549705\pi\)
\(510\) 10.1891 4.41392i 0.451181 0.195452i
\(511\) −25.3664 11.8130i −1.12215 0.522576i
\(512\) 22.7610i 1.00590i
\(513\) 14.9391 2.70597i 0.659576 0.119472i
\(514\) 14.0167i 0.618250i
\(515\) −18.1449 + 10.4760i −0.799559 + 0.461626i
\(516\) 2.54917 + 5.88451i 0.112221 + 0.259051i
\(517\) −12.6502 + 7.30360i −0.556356 + 0.321212i
\(518\) 18.0483 12.6511i 0.792996 0.555857i
\(519\) −14.9820 1.72757i −0.657636 0.0758317i
\(520\) 5.68203 3.01540i 0.249174 0.132234i
\(521\) −3.23991 5.61169i −0.141943 0.245853i 0.786285 0.617864i \(-0.212002\pi\)
−0.928228 + 0.372011i \(0.878668\pi\)
\(522\) −23.9712 + 25.5665i −1.04919 + 1.11902i
\(523\) 2.33000i 0.101884i 0.998702 + 0.0509418i \(0.0162223\pi\)
−0.998702 + 0.0509418i \(0.983778\pi\)
\(524\) 4.50621 7.80499i 0.196855 0.340963i
\(525\) 4.56520 + 8.42517i 0.199242 + 0.367705i
\(526\) 20.7186 35.8857i 0.903376 1.56469i
\(527\) 11.8722 6.85439i 0.517159 0.298582i
\(528\) −45.0892 + 19.5327i −1.96225 + 0.850050i
\(529\) 21.6301 0.940439
\(530\) 25.7542 1.11869
\(531\) 6.14493 + 20.2959i 0.266667 + 0.880766i
\(532\) 10.0607 + 4.68522i 0.436188 + 0.203130i
\(533\) −3.68357 0.131566i −0.159553 0.00569874i
\(534\) 40.5446 + 30.0866i 1.75453 + 1.30197i
\(535\) 16.1987 + 9.35234i 0.700332 + 0.404337i
\(536\) −11.7515 6.78474i −0.507588 0.293056i
\(537\) 34.7304 15.0452i 1.49873 0.649249i
\(538\) 10.8502i 0.467787i
\(539\) 31.5994 26.5694i 1.36108 1.14442i
\(540\) 9.70839 8.22368i 0.417783 0.353891i
\(541\) 4.75567 8.23706i 0.204462 0.354139i −0.745499 0.666507i \(-0.767789\pi\)
0.949961 + 0.312368i \(0.101122\pi\)
\(542\) 54.7809 2.35304
\(543\) 18.7401 + 13.9063i 0.804214 + 0.596777i
\(544\) 13.8383i 0.593312i
\(545\) 2.79325 0.119650
\(546\) −25.5105 16.9455i −1.09175 0.725201i
\(547\) 33.0415 1.41275 0.706376 0.707837i \(-0.250329\pi\)
0.706376 + 0.707837i \(0.250329\pi\)
\(548\) 4.93311i 0.210732i
\(549\) 22.6801 + 21.2648i 0.967962 + 0.907560i
\(550\) −22.8597 −0.974739
\(551\) 9.20749 15.9478i 0.392252 0.679401i
\(552\) −1.26367 + 1.70292i −0.0537854 + 0.0724810i
\(553\) −24.6379 + 2.16805i −1.04771 + 0.0921948i
\(554\) 37.8872i 1.60967i
\(555\) 5.27764 + 12.1829i 0.224023 + 0.517135i
\(556\) 16.2977 + 9.40947i 0.691176 + 0.399050i
\(557\) 2.17776 + 1.25733i 0.0922747 + 0.0532748i 0.545427 0.838158i \(-0.316367\pi\)
−0.453153 + 0.891433i \(0.649701\pi\)
\(558\) 25.7109 27.4221i 1.08843 1.16087i
\(559\) 4.35889 + 8.21364i 0.184362 + 0.347400i
\(560\) −21.6224 + 1.90270i −0.913712 + 0.0804036i
\(561\) −19.0090 + 8.23471i −0.802561 + 0.347670i
\(562\) 4.95110 0.208850
\(563\) 15.0815 0.635611 0.317806 0.948156i \(-0.397054\pi\)
0.317806 + 0.948156i \(0.397054\pi\)
\(564\) −2.44809 5.65116i −0.103083 0.237957i
\(565\) 3.63231 2.09712i 0.152812 0.0882263i
\(566\) −7.75652 + 13.4347i −0.326031 + 0.564702i
\(567\) 22.1879 + 8.64265i 0.931806 + 0.362957i
\(568\) −7.39393 + 12.8067i −0.310242 + 0.537355i
\(569\) 19.3853i 0.812672i −0.913724 0.406336i \(-0.866806\pi\)
0.913724 0.406336i \(-0.133194\pi\)
\(570\) −9.53379 + 12.8477i −0.399327 + 0.538131i
\(571\) −10.8085 18.7209i −0.452322 0.783445i 0.546207 0.837650i \(-0.316071\pi\)
−0.998530 + 0.0542046i \(0.982738\pi\)
\(572\) 26.9672 14.3112i 1.12756 0.598382i
\(573\) −1.90446 + 16.5160i −0.0795598 + 0.689967i
\(574\) 4.54470 + 2.11644i 0.189692 + 0.0883386i
\(575\) −2.11955 + 1.22372i −0.0883914 + 0.0510328i
\(576\) −2.63236 8.69434i −0.109682 0.362264i
\(577\) −1.59120 + 0.918678i −0.0662424 + 0.0382450i −0.532755 0.846269i \(-0.678843\pi\)
0.466513 + 0.884514i \(0.345510\pi\)
\(578\) 23.8877i 0.993599i
\(579\) 6.24030 + 14.4051i 0.259338 + 0.598655i
\(580\) 15.4325i 0.640801i
\(581\) −8.91646 12.7204i −0.369917 0.527730i
\(582\) 3.95392 + 9.12722i 0.163895 + 0.378335i
\(583\) −48.0476 −1.98993
\(584\) −5.53159 9.58100i −0.228899 0.396465i
\(585\) 13.0907 12.9992i 0.541233 0.537449i
\(586\) −17.6509 10.1908i −0.729154 0.420977i
\(587\) 12.9166 + 22.3722i 0.533125 + 0.923400i 0.999252 + 0.0386818i \(0.0123159\pi\)
−0.466126 + 0.884718i \(0.654351\pi\)
\(588\) 9.60220 + 14.5183i 0.395988 + 0.598725i
\(589\) −9.87574 + 17.1053i −0.406923 + 0.704811i
\(590\) −19.3523 11.1731i −0.796723 0.459988i
\(591\) −0.811882 + 7.04089i −0.0333964 + 0.289623i
\(592\) 21.6189 0.888532
\(593\) −20.0780 + 34.7761i −0.824504 + 1.42808i 0.0777945 + 0.996969i \(0.475212\pi\)
−0.902298 + 0.431113i \(0.858121\pi\)
\(594\) −43.3441 + 36.7154i −1.77843 + 1.50645i
\(595\) −9.11571 + 0.802152i −0.373708 + 0.0328850i
\(596\) −13.4925 + 7.78992i −0.552676 + 0.319087i
\(597\) 5.55381 + 4.12127i 0.227302 + 0.168672i
\(598\) 4.15032 6.63017i 0.169719 0.271128i
\(599\) 32.4255 18.7209i 1.32487 0.764915i 0.340370 0.940292i \(-0.389448\pi\)
0.984501 + 0.175377i \(0.0561144\pi\)
\(600\) −0.433985 + 3.76365i −0.0177174 + 0.153651i
\(601\) −5.80392 + 3.35089i −0.236747 + 0.136686i −0.613681 0.789554i \(-0.710312\pi\)
0.376934 + 0.926240i \(0.376978\pi\)
\(602\) −1.10864 12.5987i −0.0451848 0.513483i
\(603\) −37.8955 8.85718i −1.54322 0.360692i
\(604\) 4.37425 + 7.57642i 0.177986 + 0.308280i
\(605\) −40.5663 −1.64926
\(606\) 23.1285 10.0193i 0.939529 0.407005i
\(607\) 8.28076 4.78090i 0.336106 0.194051i −0.322443 0.946589i \(-0.604504\pi\)
0.658549 + 0.752538i \(0.271171\pi\)
\(608\) 9.96904 + 17.2669i 0.404298 + 0.700265i
\(609\) 25.3939 13.7597i 1.02901 0.557573i
\(610\) −32.7618 −1.32649
\(611\) −4.18604 7.88792i −0.169349 0.319111i
\(612\) −2.53097 8.35944i −0.102308 0.337910i
\(613\) 19.0723 33.0341i 0.770322 1.33424i −0.167065 0.985946i \(-0.553429\pi\)
0.937387 0.348290i \(-0.113238\pi\)
\(614\) −30.0704 −1.21354
\(615\) −1.79963 + 2.42517i −0.0725681 + 0.0977925i
\(616\) 16.2598 1.43081i 0.655128 0.0576490i
\(617\) −14.7394 8.50978i −0.593384 0.342591i 0.173050 0.984913i \(-0.444638\pi\)
−0.766435 + 0.642322i \(0.777971\pi\)
\(618\) 15.6771 + 36.1890i 0.630626 + 1.45573i
\(619\) 25.5648 14.7598i 1.02754 0.593248i 0.111258 0.993792i \(-0.464512\pi\)
0.916278 + 0.400543i \(0.131179\pi\)
\(620\) 16.5526i 0.664767i
\(621\) −2.05342 + 5.72456i −0.0824010 + 0.229719i
\(622\) 3.15915 1.82394i 0.126670 0.0731332i
\(623\) −23.8824 34.0710i −0.956827 1.36503i
\(624\) −10.9494 27.9731i −0.438328 1.11982i
\(625\) 5.08601 8.80923i 0.203440 0.352369i
\(626\) −24.8815 + 43.0960i −0.994464 + 1.72246i
\(627\) 17.7865 23.9690i 0.710322 0.957228i
\(628\) 4.41732 2.55034i 0.176270 0.101770i
\(629\) 9.11425 0.363409
\(630\) −23.2859 + 9.34836i −0.927733 + 0.372448i
\(631\) 15.2403 26.3970i 0.606708 1.05085i −0.385071 0.922887i \(-0.625823\pi\)
0.991779 0.127963i \(-0.0408437\pi\)
\(632\) −8.46851 4.88930i −0.336859 0.194486i
\(633\) 29.8914 + 3.44676i 1.18808 + 0.136996i
\(634\) −11.0419 + 19.1252i −0.438532 + 0.759559i
\(635\) −2.74264 −0.108838
\(636\) 2.32052 20.1243i 0.0920147 0.797980i
\(637\) 15.5428 + 19.8852i 0.615829 + 0.787880i
\(638\) 68.9001i 2.72778i
\(639\) −9.65245 + 41.2980i −0.381845 + 1.63372i
\(640\) −11.8684 6.85221i −0.469139 0.270857i
\(641\) 19.8725i 0.784916i 0.919770 + 0.392458i \(0.128375\pi\)
−0.919770 + 0.392458i \(0.871625\pi\)
\(642\) 20.9813 28.2743i 0.828065 1.11590i
\(643\) −36.4481 21.0433i −1.43737 0.829867i −0.439705 0.898142i \(-0.644917\pi\)
−0.997667 + 0.0682753i \(0.978250\pi\)
\(644\) −3.64045 + 2.55180i −0.143454 + 0.100555i
\(645\) 7.56840 + 0.872709i 0.298005 + 0.0343629i
\(646\) 5.49132 + 9.51125i 0.216053 + 0.374215i
\(647\) 6.08096 10.5325i 0.239067 0.414076i −0.721380 0.692540i \(-0.756492\pi\)
0.960447 + 0.278463i \(0.0898251\pi\)
\(648\) 5.22202 + 7.83328i 0.205140 + 0.307720i
\(649\) 36.1041 + 20.8447i 1.41721 + 0.818228i
\(650\) 0.498819 13.9659i 0.0195653 0.547789i
\(651\) −27.2369 + 14.7584i −1.06750 + 0.578426i
\(652\) −3.40420 5.89625i −0.133319 0.230915i
\(653\) 7.60294i 0.297526i −0.988873 0.148763i \(-0.952471\pi\)
0.988873 0.148763i \(-0.0475292\pi\)
\(654\) 0.602290 5.22325i 0.0235514 0.204245i
\(655\) −5.35337 9.27230i −0.209173 0.362299i
\(656\) 2.45871 + 4.25861i 0.0959965 + 0.166271i
\(657\) −23.1462 21.7019i −0.903020 0.846670i
\(658\) 1.06468 + 12.0991i 0.0415054 + 0.471670i
\(659\) 15.5040 + 8.95123i 0.603950 + 0.348690i 0.770594 0.637327i \(-0.219960\pi\)
−0.166644 + 0.986017i \(0.553293\pi\)
\(660\) 2.86530 24.8487i 0.111532 0.967236i
\(661\) −7.73249 4.46435i −0.300759 0.173643i 0.342025 0.939691i \(-0.388887\pi\)
−0.642784 + 0.766048i \(0.722221\pi\)
\(662\) 11.3862 6.57380i 0.442536 0.255498i
\(663\) −4.61614 11.7931i −0.179276 0.458006i
\(664\) 6.14168i 0.238343i
\(665\) 10.7964 7.56781i 0.418665 0.293467i
\(666\) 23.9195 7.24203i 0.926860 0.280623i
\(667\) 3.68836 + 6.38843i 0.142814 + 0.247361i
\(668\) −5.88051 10.1853i −0.227524 0.394083i
\(669\) −3.24298 + 28.1242i −0.125381 + 1.08734i
\(670\) 35.5154 20.5049i 1.37208 0.792172i
\(671\) 61.1212 2.35956
\(672\) −0.845214 + 31.2596i −0.0326048 + 1.20586i
\(673\) 15.5630 + 26.9559i 0.599910 + 1.03908i 0.992834 + 0.119504i \(0.0381305\pi\)
−0.392923 + 0.919571i \(0.628536\pi\)
\(674\) 35.4390i 1.36506i
\(675\) 1.93661 + 10.6916i 0.0745401 + 0.411519i
\(676\) 8.15488 + 16.7877i 0.313649 + 0.645680i
\(677\) 1.74122 3.01587i 0.0669204 0.115909i −0.830624 0.556834i \(-0.812016\pi\)
0.897544 + 0.440924i \(0.145349\pi\)
\(678\) −3.13830 7.24444i −0.120526 0.278221i
\(679\) −0.718554 8.16570i −0.0275756 0.313371i
\(680\) −3.13325 1.80898i −0.120155 0.0693713i
\(681\) 22.7601 30.6714i 0.872169 1.17533i
\(682\) 73.9006i 2.82980i
\(683\) 49.5224i 1.89492i −0.319872 0.947461i \(-0.603640\pi\)
0.319872 0.947461i \(-0.396360\pi\)
\(684\) 9.18015 + 8.60730i 0.351012 + 0.329108i
\(685\) −5.07536 2.93026i −0.193920 0.111959i
\(686\) −8.93495 33.1451i −0.341138 1.26549i
\(687\) 21.0865 9.13469i 0.804500 0.348510i
\(688\) 6.20267 10.7433i 0.236475 0.409586i
\(689\) 1.04844 29.3543i 0.0399426 1.11831i
\(690\) −2.54752 5.88070i −0.0969825 0.223874i
\(691\) 11.2478i 0.427888i −0.976846 0.213944i \(-0.931369\pi\)
0.976846 0.213944i \(-0.0686310\pi\)
\(692\) −6.25026 10.8258i −0.237599 0.411534i
\(693\) 43.4427 17.4405i 1.65025 0.662510i
\(694\) 8.36882 0.317676
\(695\) 19.3616 11.1784i 0.734427 0.424022i
\(696\) 11.3438 + 1.30805i 0.429987 + 0.0495816i
\(697\) 1.03656 + 1.79537i 0.0392625 + 0.0680046i
\(698\) −9.10234 15.7657i −0.344528 0.596741i
\(699\) −32.6054 + 14.1247i −1.23325 + 0.534244i
\(700\) −3.35311 + 7.20025i −0.126736 + 0.272144i
\(701\) 7.65901i 0.289277i 0.989485 + 0.144638i \(0.0462019\pi\)
−0.989485 + 0.144638i \(0.953798\pi\)
\(702\) −21.4852 27.2819i −0.810907 1.02969i
\(703\) −11.3724 + 6.56587i −0.428919 + 0.247636i
\(704\) −15.4663 8.92946i −0.582907 0.336542i
\(705\) −7.26827 0.838101i −0.273739 0.0315647i
\(706\) 41.6876 + 24.0684i 1.56893 + 0.905824i
\(707\) −20.6920 + 1.82082i −0.778202 + 0.0684791i
\(708\) −10.4743 + 14.1152i −0.393649 + 0.530480i
\(709\) 7.72980 + 13.3884i 0.290299 + 0.502812i 0.973880 0.227062i \(-0.0729120\pi\)
−0.683582 + 0.729874i \(0.739579\pi\)
\(710\) −22.3459 38.7043i −0.838628 1.45255i
\(711\) −27.3087 6.38277i −1.02415 0.239372i
\(712\) 16.4502i 0.616499i
\(713\) −3.95605 6.85208i −0.148155 0.256612i
\(714\) −0.465575 + 17.2189i −0.0174237 + 0.644403i
\(715\) 1.29458 36.2456i 0.0484146 1.35551i
\(716\) 27.1692 + 15.6861i 1.01536 + 0.586219i
\(717\) −8.07724 5.99381i −0.301650 0.223843i
\(718\) 9.96605 17.2617i 0.371930 0.644201i
\(719\) 26.6581 + 46.1732i 0.994181 + 1.72197i 0.590384 + 0.807122i \(0.298976\pi\)
0.403796 + 0.914849i \(0.367690\pi\)
\(720\) −23.9663 5.60157i −0.893171 0.208758i
\(721\) −2.84903 32.3766i −0.106104 1.20577i
\(722\) 16.7955 + 9.69690i 0.625065 + 0.360881i
\(723\) −5.50519 4.08519i −0.204740 0.151930i
\(724\) 19.3428i 0.718870i
\(725\) 11.4135 + 6.58961i 0.423888 + 0.244732i
\(726\) −8.74706 + 75.8572i −0.324634 + 2.81533i
\(727\) 9.51423i 0.352863i −0.984313 0.176432i \(-0.943545\pi\)
0.984313 0.176432i \(-0.0564554\pi\)
\(728\) 0.519338 + 9.96504i 0.0192479 + 0.369329i
\(729\) 20.8440 + 17.1618i 0.772000 + 0.635623i
\(730\) 33.4352 1.23749
\(731\) 2.61496 4.52925i 0.0967180 0.167520i
\(732\) −2.95193 + 25.6000i −0.109106 + 0.946204i
\(733\) −45.6934 26.3811i −1.68772 0.974407i −0.956257 0.292529i \(-0.905503\pi\)
−0.731466 0.681878i \(-0.761164\pi\)
\(734\) 8.14743 14.1118i 0.300727 0.520874i
\(735\) 20.6406 1.25523i 0.761342 0.0462998i
\(736\) −7.98685 −0.294399
\(737\) −66.2584 + 38.2543i −2.44066 + 1.40912i
\(738\) 4.14692 + 3.88815i 0.152650 + 0.143125i
\(739\) 6.23375 10.7972i 0.229312 0.397180i −0.728292 0.685267i \(-0.759686\pi\)
0.957604 + 0.288086i \(0.0930190\pi\)
\(740\) −5.50247 + 9.53056i −0.202275 + 0.350350i
\(741\) 14.2555 + 11.3895i 0.523690 + 0.418404i
\(742\) −16.8659 + 36.2167i −0.619167 + 1.32956i
\(743\) 37.2108 21.4837i 1.36513 0.788160i 0.374831 0.927093i \(-0.377701\pi\)
0.990302 + 0.138933i \(0.0443673\pi\)
\(744\) −12.1671 1.40299i −0.446069 0.0514360i
\(745\) 18.5088i 0.678110i
\(746\) −53.4148 + 30.8391i −1.95566 + 1.12910i
\(747\) −5.10416 16.8584i −0.186752 0.616816i
\(748\) −14.8705 8.58551i −0.543721 0.313917i
\(749\) −23.7599 + 16.6547i −0.868167 + 0.608549i
\(750\) −31.1807 23.1380i −1.13856 0.844881i
\(751\) 51.7985 1.89015 0.945077 0.326848i \(-0.105986\pi\)
0.945077 + 0.326848i \(0.105986\pi\)
\(752\) −5.95670 + 10.3173i −0.217218 + 0.376233i
\(753\) −5.22895 12.0705i −0.190554 0.439873i
\(754\) −42.0939 1.50346i −1.53297 0.0547529i
\(755\) 10.3932 0.378246
\(756\) 5.20667 + 19.0379i 0.189365 + 0.692401i
\(757\) 8.97557 + 15.5461i 0.326223 + 0.565034i 0.981759 0.190130i \(-0.0608908\pi\)
−0.655536 + 0.755163i \(0.727557\pi\)
\(758\) 57.7546 33.3446i 2.09774 1.21113i
\(759\) 4.75271 + 10.9712i 0.172513 + 0.398228i
\(760\) 5.21273 0.189086
\(761\) −22.1518 38.3680i −0.803000 1.39084i −0.917633 0.397430i \(-0.869902\pi\)
0.114632 0.993408i \(-0.463431\pi\)
\(762\) −0.591378 + 5.12862i −0.0214234 + 0.185790i
\(763\) −1.82924 + 3.92799i −0.0662229 + 0.142203i
\(764\) −11.9342 + 6.89024i −0.431766 + 0.249280i
\(765\) −10.1039 2.36155i −0.365307 0.0853819i
\(766\) 0.202147 0.116710i 0.00730388 0.00421690i
\(767\) −13.5228 + 21.6027i −0.488278 + 0.780028i
\(768\) −21.6232 + 29.1393i −0.780260 + 1.05148i
\(769\) −40.9044 + 23.6162i −1.47505 + 0.851621i −0.999604 0.0281229i \(-0.991047\pi\)
−0.475447 + 0.879744i \(0.657714\pi\)
\(770\) −20.8254 + 44.7191i −0.750495 + 1.61156i
\(771\) 7.80520 10.5183i 0.281097 0.378806i
\(772\) −6.50613 + 11.2690i −0.234161 + 0.405579i
\(773\) −17.8893 −0.643433 −0.321717 0.946836i \(-0.604260\pi\)
−0.321717 + 0.946836i