Properties

Label 273.2.r.b.68.20
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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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 68.20
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.13

$q$-expansion

\(f(q)\) \(=\) \(q+0.843135i q^{2} +(-1.29627 + 1.14878i) q^{3} +1.28912 q^{4} +(1.06280 - 1.84082i) q^{5} +(-0.968576 - 1.09293i) q^{6} +(2.34470 - 1.22572i) q^{7} +2.77318i q^{8} +(0.360617 - 2.97825i) q^{9} +O(q^{10})\) \(q+0.843135i q^{2} +(-1.29627 + 1.14878i) q^{3} +1.28912 q^{4} +(1.06280 - 1.84082i) q^{5} +(-0.968576 - 1.09293i) q^{6} +(2.34470 - 1.22572i) q^{7} +2.77318i q^{8} +(0.360617 - 2.97825i) q^{9} +(1.55206 + 0.896082i) q^{10} +(0.855509 + 0.493928i) q^{11} +(-1.67105 + 1.48092i) q^{12} +(3.08300 - 1.86952i) q^{13} +(1.03345 + 1.97690i) q^{14} +(0.737024 + 3.60711i) q^{15} +0.240083 q^{16} -1.84105 q^{17} +(2.51107 + 0.304049i) q^{18} +(-6.19875 + 3.57885i) q^{19} +(1.37008 - 2.37304i) q^{20} +(-1.63128 + 4.28240i) q^{21} +(-0.416448 + 0.721310i) q^{22} +1.62700i q^{23} +(-3.18576 - 3.59478i) q^{24} +(0.240923 + 0.417291i) q^{25} +(1.57626 + 2.59939i) q^{26} +(2.95389 + 4.27487i) q^{27} +(3.02260 - 1.58010i) q^{28} +(0.488355 - 0.281952i) q^{29} +(-3.04128 + 0.621411i) q^{30} +(-4.23375 + 2.44435i) q^{31} +5.74877i q^{32} +(-1.67638 + 0.342527i) q^{33} -1.55226i q^{34} +(0.235611 - 5.61886i) q^{35} +(0.464880 - 3.83933i) q^{36} +3.29157 q^{37} +(-3.01745 - 5.22638i) q^{38} +(-1.84872 + 5.96508i) q^{39} +(5.10491 + 2.94732i) q^{40} +(-4.93559 - 8.54870i) q^{41} +(-3.61064 - 1.37539i) q^{42} +(-0.214038 + 0.370726i) q^{43} +(1.10286 + 0.636734i) q^{44} +(-5.09915 - 3.82910i) q^{45} -1.37179 q^{46} +(6.40449 - 11.0929i) q^{47} +(-0.311212 + 0.275803i) q^{48} +(3.99522 - 5.74789i) q^{49} +(-0.351833 + 0.203131i) q^{50} +(2.38649 - 2.11496i) q^{51} +(3.97436 - 2.41004i) q^{52} +(-6.59657 + 3.80853i) q^{53} +(-3.60430 + 2.49053i) q^{54} +(1.81847 - 1.04989i) q^{55} +(3.39914 + 6.50226i) q^{56} +(3.92393 - 11.7601i) q^{57} +(0.237723 + 0.411749i) q^{58} -11.9264 q^{59} +(0.950114 + 4.65001i) q^{60} +(1.92009 - 1.10857i) q^{61} +(-2.06092 - 3.56962i) q^{62} +(-2.80496 - 7.42511i) q^{63} -4.36683 q^{64} +(-0.164850 - 7.66217i) q^{65} +(-0.288797 - 1.41342i) q^{66} +(1.22692 - 2.12509i) q^{67} -2.37334 q^{68} +(-1.86907 - 2.10903i) q^{69} +(4.73746 + 0.198652i) q^{70} +(2.48976 + 1.43746i) q^{71} +(8.25920 + 1.00005i) q^{72} +(-8.31343 + 4.79976i) q^{73} +2.77524i q^{74} +(-0.791675 - 0.264153i) q^{75} +(-7.99095 + 4.61358i) q^{76} +(2.61133 + 0.109499i) q^{77} +(-5.02937 - 1.55872i) q^{78} +(-7.27556 + 12.6016i) q^{79} +(0.255160 - 0.441950i) q^{80} +(-8.73991 - 2.14801i) q^{81} +(7.20771 - 4.16137i) q^{82} +14.4620 q^{83} +(-2.10291 + 5.52054i) q^{84} +(-1.95666 + 3.38904i) q^{85} +(-0.312572 - 0.180463i) q^{86} +(-0.309138 + 0.926496i) q^{87} +(-1.36975 + 2.37248i) q^{88} -5.18724 q^{89} +(3.22845 - 4.29927i) q^{90} +(4.93719 - 8.16236i) q^{91} +2.09741i q^{92} +(2.68004 - 8.03217i) q^{93} +(9.35281 + 5.39985i) q^{94} +15.2144i q^{95} +(-6.60407 - 7.45195i) q^{96} +(-0.172790 - 0.0997601i) q^{97} +(4.84625 + 3.36851i) q^{98} +(1.77955 - 2.36980i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.843135i 0.596187i 0.954537 + 0.298093i \(0.0963507\pi\)
−0.954537 + 0.298093i \(0.903649\pi\)
\(3\) −1.29627 + 1.14878i −0.748400 + 0.663247i
\(4\) 1.28912 0.644561
\(5\) 1.06280 1.84082i 0.475297 0.823239i −0.524302 0.851532i \(-0.675674\pi\)
0.999600 + 0.0282929i \(0.00900711\pi\)
\(6\) −0.968576 1.09293i −0.395419 0.446186i
\(7\) 2.34470 1.22572i 0.886213 0.463278i
\(8\) 2.77318i 0.980466i
\(9\) 0.360617 2.97825i 0.120206 0.992749i
\(10\) 1.55206 + 0.896082i 0.490804 + 0.283366i
\(11\) 0.855509 + 0.493928i 0.257946 + 0.148925i 0.623397 0.781905i \(-0.285752\pi\)
−0.365451 + 0.930830i \(0.619085\pi\)
\(12\) −1.67105 + 1.48092i −0.482390 + 0.427504i
\(13\) 3.08300 1.86952i 0.855070 0.518512i
\(14\) 1.03345 + 1.97690i 0.276200 + 0.528348i
\(15\) 0.737024 + 3.60711i 0.190299 + 0.931352i
\(16\) 0.240083 0.0600208
\(17\) −1.84105 −0.446520 −0.223260 0.974759i \(-0.571670\pi\)
−0.223260 + 0.974759i \(0.571670\pi\)
\(18\) 2.51107 + 0.304049i 0.591864 + 0.0716650i
\(19\) −6.19875 + 3.57885i −1.42209 + 0.821044i −0.996477 0.0838608i \(-0.973275\pi\)
−0.425613 + 0.904905i \(0.639942\pi\)
\(20\) 1.37008 2.37304i 0.306358 0.530628i
\(21\) −1.63128 + 4.28240i −0.355974 + 0.934496i
\(22\) −0.416448 + 0.721310i −0.0887871 + 0.153784i
\(23\) 1.62700i 0.339254i 0.985508 + 0.169627i \(0.0542563\pi\)
−0.985508 + 0.169627i \(0.945744\pi\)
\(24\) −3.18576 3.59478i −0.650291 0.733781i
\(25\) 0.240923 + 0.417291i 0.0481846 + 0.0834582i
\(26\) 1.57626 + 2.59939i 0.309130 + 0.509781i
\(27\) 2.95389 + 4.27487i 0.568476 + 0.822700i
\(28\) 3.02260 1.58010i 0.571219 0.298611i
\(29\) 0.488355 0.281952i 0.0906852 0.0523571i −0.453972 0.891016i \(-0.649993\pi\)
0.544657 + 0.838659i \(0.316660\pi\)
\(30\) −3.04128 + 0.621411i −0.555260 + 0.113454i
\(31\) −4.23375 + 2.44435i −0.760403 + 0.439019i −0.829440 0.558595i \(-0.811341\pi\)
0.0690374 + 0.997614i \(0.478007\pi\)
\(32\) 5.74877i 1.01625i
\(33\) −1.67638 + 0.342527i −0.291821 + 0.0596263i
\(34\) 1.55226i 0.266210i
\(35\) 0.235611 5.61886i 0.0398256 0.949760i
\(36\) 0.464880 3.83933i 0.0774799 0.639888i
\(37\) 3.29157 0.541130 0.270565 0.962702i \(-0.412789\pi\)
0.270565 + 0.962702i \(0.412789\pi\)
\(38\) −3.01745 5.22638i −0.489496 0.847831i
\(39\) −1.84872 + 5.96508i −0.296033 + 0.955178i
\(40\) 5.10491 + 2.94732i 0.807158 + 0.466013i
\(41\) −4.93559 8.54870i −0.770810 1.33508i −0.937120 0.349008i \(-0.886518\pi\)
0.166310 0.986074i \(-0.446815\pi\)
\(42\) −3.61064 1.37539i −0.557134 0.212227i
\(43\) −0.214038 + 0.370726i −0.0326406 + 0.0565351i −0.881884 0.471466i \(-0.843725\pi\)
0.849244 + 0.528001i \(0.177058\pi\)
\(44\) 1.10286 + 0.636734i 0.166262 + 0.0959913i
\(45\) −5.09915 3.82910i −0.760137 0.570809i
\(46\) −1.37179 −0.202259
\(47\) 6.40449 11.0929i 0.934190 1.61807i 0.158119 0.987420i \(-0.449457\pi\)
0.776071 0.630645i \(-0.217210\pi\)
\(48\) −0.311212 + 0.275803i −0.0449196 + 0.0398087i
\(49\) 3.99522 5.74789i 0.570746 0.821127i
\(50\) −0.351833 + 0.203131i −0.0497567 + 0.0287270i
\(51\) 2.38649 2.11496i 0.334176 0.296154i
\(52\) 3.97436 2.41004i 0.551145 0.334213i
\(53\) −6.59657 + 3.80853i −0.906109 + 0.523142i −0.879177 0.476495i \(-0.841907\pi\)
−0.0269320 + 0.999637i \(0.508574\pi\)
\(54\) −3.60430 + 2.49053i −0.490483 + 0.338918i
\(55\) 1.81847 1.04989i 0.245202 0.141567i
\(56\) 3.39914 + 6.50226i 0.454229 + 0.868901i
\(57\) 3.92393 11.7601i 0.519737 1.55767i
\(58\) 0.237723 + 0.411749i 0.0312146 + 0.0540653i
\(59\) −11.9264 −1.55268 −0.776342 0.630312i \(-0.782927\pi\)
−0.776342 + 0.630312i \(0.782927\pi\)
\(60\) 0.950114 + 4.65001i 0.122659 + 0.600314i
\(61\) 1.92009 1.10857i 0.245843 0.141937i −0.372016 0.928226i \(-0.621333\pi\)
0.617859 + 0.786289i \(0.288000\pi\)
\(62\) −2.06092 3.56962i −0.261737 0.453342i
\(63\) −2.80496 7.42511i −0.353391 0.935476i
\(64\) −4.36683 −0.545853
\(65\) −0.164850 7.66217i −0.0204471 0.950375i
\(66\) −0.288797 1.41342i −0.0355484 0.173980i
\(67\) 1.22692 2.12509i 0.149892 0.259621i −0.781295 0.624162i \(-0.785441\pi\)
0.931188 + 0.364540i \(0.118774\pi\)
\(68\) −2.37334 −0.287810
\(69\) −1.86907 2.10903i −0.225009 0.253898i
\(70\) 4.73746 + 0.198652i 0.566234 + 0.0237435i
\(71\) 2.48976 + 1.43746i 0.295480 + 0.170596i 0.640411 0.768033i \(-0.278764\pi\)
−0.344930 + 0.938628i \(0.612097\pi\)
\(72\) 8.25920 + 1.00005i 0.973356 + 0.117858i
\(73\) −8.31343 + 4.79976i −0.973013 + 0.561769i −0.900154 0.435573i \(-0.856546\pi\)
−0.0728598 + 0.997342i \(0.523213\pi\)
\(74\) 2.77524i 0.322615i
\(75\) −0.791675 0.264153i −0.0914148 0.0305018i
\(76\) −7.99095 + 4.61358i −0.916625 + 0.529214i
\(77\) 2.61133 + 0.109499i 0.297588 + 0.0124785i
\(78\) −5.02937 1.55872i −0.569464 0.176491i
\(79\) −7.27556 + 12.6016i −0.818565 + 1.41780i 0.0881750 + 0.996105i \(0.471897\pi\)
−0.906740 + 0.421691i \(0.861437\pi\)
\(80\) 0.255160 0.441950i 0.0285278 0.0494115i
\(81\) −8.73991 2.14801i −0.971101 0.238668i
\(82\) 7.20771 4.16137i 0.795958 0.459547i
\(83\) 14.4620 1.58741 0.793707 0.608301i \(-0.208149\pi\)
0.793707 + 0.608301i \(0.208149\pi\)
\(84\) −2.10291 + 5.52054i −0.229447 + 0.602340i
\(85\) −1.95666 + 3.38904i −0.212230 + 0.367593i
\(86\) −0.312572 0.180463i −0.0337055 0.0194599i
\(87\) −0.309138 + 0.926496i −0.0331431 + 0.0993308i
\(88\) −1.36975 + 2.37248i −0.146016 + 0.252907i
\(89\) −5.18724 −0.549846 −0.274923 0.961466i \(-0.588652\pi\)
−0.274923 + 0.961466i \(0.588652\pi\)
\(90\) 3.22845 4.29927i 0.340309 0.453183i
\(91\) 4.93719 8.16236i 0.517558 0.855648i
\(92\) 2.09741i 0.218670i
\(93\) 2.68004 8.03217i 0.277908 0.832897i
\(94\) 9.35281 + 5.39985i 0.964669 + 0.556952i
\(95\) 15.2144i 1.56096i
\(96\) −6.60407 7.45195i −0.674025 0.760561i
\(97\) −0.172790 0.0997601i −0.0175441 0.0101291i 0.491202 0.871046i \(-0.336558\pi\)
−0.508746 + 0.860916i \(0.669891\pi\)
\(98\) 4.84625 + 3.36851i 0.489545 + 0.340271i
\(99\) 1.77955 2.36980i 0.178852 0.238174i
\(100\) 0.310579 + 0.537939i 0.0310579 + 0.0537939i
\(101\) −3.00678 + 5.20790i −0.299186 + 0.518205i −0.975950 0.217995i \(-0.930048\pi\)
0.676764 + 0.736200i \(0.263382\pi\)
\(102\) 1.78320 + 2.01214i 0.176563 + 0.199231i
\(103\) 8.42274 + 4.86287i 0.829917 + 0.479153i 0.853824 0.520561i \(-0.174277\pi\)
−0.0239072 + 0.999714i \(0.507611\pi\)
\(104\) 5.18451 + 8.54970i 0.508384 + 0.838367i
\(105\) 6.14941 + 7.55421i 0.600121 + 0.737215i
\(106\) −3.21111 5.56181i −0.311891 0.540210i
\(107\) 0.614704i 0.0594257i −0.999558 0.0297128i \(-0.990541\pi\)
0.999558 0.0297128i \(-0.00945928\pi\)
\(108\) 3.80793 + 5.51084i 0.366418 + 0.530280i
\(109\) −5.78829 10.0256i −0.554418 0.960280i −0.997949 0.0640208i \(-0.979608\pi\)
0.443531 0.896259i \(-0.353726\pi\)
\(110\) 0.885200 + 1.53321i 0.0844005 + 0.146186i
\(111\) −4.26675 + 3.78128i −0.404982 + 0.358903i
\(112\) 0.562923 0.294275i 0.0531912 0.0278064i
\(113\) −6.10760 3.52622i −0.574554 0.331719i 0.184412 0.982849i \(-0.440962\pi\)
−0.758966 + 0.651130i \(0.774295\pi\)
\(114\) 9.91538 + 3.30840i 0.928661 + 0.309860i
\(115\) 2.99502 + 1.72918i 0.279287 + 0.161247i
\(116\) 0.629549 0.363470i 0.0584522 0.0337474i
\(117\) −4.45612 9.85612i −0.411968 0.911198i
\(118\) 10.0556i 0.925690i
\(119\) −4.31671 + 2.25661i −0.395712 + 0.206863i
\(120\) −10.0032 + 2.04390i −0.913159 + 0.186581i
\(121\) −5.01207 8.68116i −0.455643 0.789196i
\(122\) 0.934672 + 1.61890i 0.0846212 + 0.146568i
\(123\) 16.2184 + 5.41149i 1.46236 + 0.487938i
\(124\) −5.45782 + 3.15107i −0.490127 + 0.282975i
\(125\) 11.6522 1.04220
\(126\) 6.26037 2.36496i 0.557718 0.210687i
\(127\) −5.43519 9.41402i −0.482295 0.835359i 0.517499 0.855684i \(-0.326863\pi\)
−0.999793 + 0.0203250i \(0.993530\pi\)
\(128\) 7.81572i 0.690819i
\(129\) −0.148430 0.726442i −0.0130686 0.0639597i
\(130\) 6.46024 0.138990i 0.566601 0.0121903i
\(131\) −8.66948 + 15.0160i −0.757456 + 1.31195i 0.186688 + 0.982419i \(0.440225\pi\)
−0.944144 + 0.329533i \(0.893109\pi\)
\(132\) −2.16106 + 0.441559i −0.188096 + 0.0384328i
\(133\) −10.1475 + 15.9893i −0.879903 + 1.38644i
\(134\) 1.79174 + 1.03446i 0.154783 + 0.0893639i
\(135\) 11.0087 0.894252i 0.947474 0.0769650i
\(136\) 5.10556i 0.437798i
\(137\) 12.7597i 1.09014i −0.838392 0.545068i \(-0.816504\pi\)
0.838392 0.545068i \(-0.183496\pi\)
\(138\) 1.77820 1.57588i 0.151370 0.134148i
\(139\) −13.6009 7.85246i −1.15361 0.666037i −0.203846 0.979003i \(-0.565344\pi\)
−0.949764 + 0.312966i \(0.898678\pi\)
\(140\) 0.303732 7.24340i 0.0256700 0.612179i
\(141\) 4.44135 + 21.7367i 0.374029 + 1.83056i
\(142\) −1.21198 + 2.09921i −0.101707 + 0.176161i
\(143\) 3.56094 0.0766127i 0.297781 0.00640668i
\(144\) 0.0865782 0.715028i 0.00721485 0.0595856i
\(145\) 1.19863i 0.0995408i
\(146\) −4.04685 7.00935i −0.334920 0.580098i
\(147\) 1.42417 + 12.0404i 0.117464 + 0.993077i
\(148\) 4.24323 0.348792
\(149\) 6.51483 3.76134i 0.533715 0.308141i −0.208813 0.977956i \(-0.566960\pi\)
0.742528 + 0.669815i \(0.233627\pi\)
\(150\) 0.222717 0.667490i 0.0181848 0.0545003i
\(151\) 1.77190 + 3.06902i 0.144195 + 0.249753i 0.929072 0.369898i \(-0.120607\pi\)
−0.784877 + 0.619651i \(0.787274\pi\)
\(152\) −9.92478 17.1902i −0.805006 1.39431i
\(153\) −0.663914 + 5.48310i −0.0536743 + 0.443283i
\(154\) −0.0923223 + 2.20170i −0.00743954 + 0.177418i
\(155\) 10.3914i 0.834658i
\(156\) −2.38323 + 7.68973i −0.190811 + 0.615671i
\(157\) −12.7221 + 7.34511i −1.01533 + 0.586204i −0.912749 0.408521i \(-0.866045\pi\)
−0.102585 + 0.994724i \(0.532711\pi\)
\(158\) −10.6249 6.13428i −0.845271 0.488017i
\(159\) 4.17576 12.5149i 0.331159 0.992495i
\(160\) 10.5825 + 6.10978i 0.836616 + 0.483021i
\(161\) 1.99425 + 3.81484i 0.157169 + 0.300651i
\(162\) 1.81107 7.36893i 0.142291 0.578958i
\(163\) −0.446786 0.773855i −0.0349949 0.0606130i 0.847997 0.530000i \(-0.177808\pi\)
−0.882992 + 0.469387i \(0.844475\pi\)
\(164\) −6.36258 11.0203i −0.496834 0.860542i
\(165\) −1.15112 + 3.44995i −0.0896149 + 0.268578i
\(166\) 12.1934i 0.946395i
\(167\) 2.80871 + 4.86483i 0.217345 + 0.376452i 0.953995 0.299821i \(-0.0969271\pi\)
−0.736651 + 0.676274i \(0.763594\pi\)
\(168\) −11.8758 4.52381i −0.916241 0.349020i
\(169\) 6.00977 11.5275i 0.462290 0.886729i
\(170\) −2.85742 1.64973i −0.219154 0.126529i
\(171\) 8.42332 + 19.7520i 0.644148 + 1.51047i
\(172\) −0.275922 + 0.477911i −0.0210388 + 0.0364404i
\(173\) 7.20865 + 12.4858i 0.548064 + 0.949274i 0.998407 + 0.0564189i \(0.0179682\pi\)
−0.450343 + 0.892855i \(0.648698\pi\)
\(174\) −0.781161 0.260645i −0.0592197 0.0197595i
\(175\) 1.07637 + 0.683117i 0.0813662 + 0.0516388i
\(176\) 0.205393 + 0.118584i 0.0154821 + 0.00893860i
\(177\) 15.4598 13.7008i 1.16203 1.02981i
\(178\) 4.37355i 0.327811i
\(179\) 19.3121 + 11.1499i 1.44346 + 0.833380i 0.998079 0.0619621i \(-0.0197358\pi\)
0.445378 + 0.895342i \(0.353069\pi\)
\(180\) −6.57343 4.93619i −0.489955 0.367922i
\(181\) 6.26949i 0.466007i 0.972476 + 0.233004i \(0.0748554\pi\)
−0.972476 + 0.233004i \(0.925145\pi\)
\(182\) 6.88197 + 4.16272i 0.510126 + 0.308561i
\(183\) −1.21546 + 3.64276i −0.0898492 + 0.269281i
\(184\) −4.51197 −0.332627
\(185\) 3.49827 6.05918i 0.257198 0.445480i
\(186\) 6.77221 + 2.25964i 0.496562 + 0.165685i
\(187\) −1.57504 0.909347i −0.115178 0.0664980i
\(188\) 8.25617 14.3001i 0.602143 1.04294i
\(189\) 12.1658 + 6.40265i 0.884930 + 0.465724i
\(190\) −12.8278 −0.930624
\(191\) −4.27245 + 2.46670i −0.309143 + 0.178484i −0.646543 0.762877i \(-0.723786\pi\)
0.337400 + 0.941361i \(0.390453\pi\)
\(192\) 5.66058 5.01652i 0.408517 0.362036i
\(193\) 2.69080 4.66060i 0.193688 0.335477i −0.752782 0.658270i \(-0.771288\pi\)
0.946470 + 0.322793i \(0.104622\pi\)
\(194\) 0.0841113 0.145685i 0.00603884 0.0104596i
\(195\) 9.01582 + 9.74284i 0.645636 + 0.697699i
\(196\) 5.15033 7.40973i 0.367881 0.529267i
\(197\) 1.73936 1.00422i 0.123924 0.0715477i −0.436756 0.899580i \(-0.643873\pi\)
0.560681 + 0.828032i \(0.310540\pi\)
\(198\) 1.99806 + 1.50040i 0.141996 + 0.106629i
\(199\) 1.88370i 0.133532i 0.997769 + 0.0667659i \(0.0212681\pi\)
−0.997769 + 0.0667659i \(0.978732\pi\)
\(200\) −1.15722 + 0.668122i −0.0818279 + 0.0472434i
\(201\) 0.850840 + 4.16415i 0.0600137 + 0.293716i
\(202\) −4.39096 2.53512i −0.308947 0.178371i
\(203\) 0.799451 1.25968i 0.0561104 0.0884120i
\(204\) 3.07648 2.72644i 0.215397 0.190889i
\(205\) −20.9821 −1.46546
\(206\) −4.10006 + 7.10151i −0.285665 + 0.494786i
\(207\) 4.84562 + 0.586726i 0.336794 + 0.0407803i
\(208\) 0.740177 0.448841i 0.0513220 0.0311215i
\(209\) −7.07078 −0.489096
\(210\) −6.36922 + 5.18478i −0.439518 + 0.357784i
\(211\) 3.68771 + 6.38731i 0.253873 + 0.439720i 0.964589 0.263759i \(-0.0849623\pi\)
−0.710716 + 0.703479i \(0.751629\pi\)
\(212\) −8.50380 + 4.90967i −0.584043 + 0.337197i
\(213\) −4.87872 + 0.996846i −0.334285 + 0.0683027i
\(214\) 0.518279 0.0354288
\(215\) 0.454959 + 0.788012i 0.0310280 + 0.0537420i
\(216\) −11.8550 + 8.19165i −0.806629 + 0.557371i
\(217\) −6.93076 + 10.9207i −0.470491 + 0.741343i
\(218\) 8.45295 4.88031i 0.572506 0.330537i
\(219\) 5.26256 15.7721i 0.355611 1.06578i
\(220\) 2.34422 1.35344i 0.158048 0.0912488i
\(221\) −5.67596 + 3.44189i −0.381806 + 0.231526i
\(222\) −3.18813 3.59745i −0.213973 0.241445i
\(223\) −1.19481 + 0.689825i −0.0800106 + 0.0461941i −0.539472 0.842004i \(-0.681376\pi\)
0.459461 + 0.888198i \(0.348043\pi\)
\(224\) 7.04639 + 13.4791i 0.470806 + 0.900613i
\(225\) 1.32968 0.567046i 0.0886451 0.0378031i
\(226\) 2.97308 5.14953i 0.197767 0.342542i
\(227\) −2.98238 −0.197947 −0.0989736 0.995090i \(-0.531556\pi\)
−0.0989736 + 0.995090i \(0.531556\pi\)
\(228\) 5.05843 15.1603i 0.335003 1.00401i
\(229\) 10.3410 + 5.97040i 0.683355 + 0.394535i 0.801118 0.598506i \(-0.204239\pi\)
−0.117763 + 0.993042i \(0.537572\pi\)
\(230\) −1.45793 + 2.52521i −0.0961331 + 0.166507i
\(231\) −3.51077 + 2.85790i −0.230992 + 0.188036i
\(232\) 0.781902 + 1.35429i 0.0513343 + 0.0889137i
\(233\) −14.3523 8.28630i −0.940250 0.542854i −0.0502115 0.998739i \(-0.515990\pi\)
−0.890039 + 0.455885i \(0.849323\pi\)
\(234\) 8.31004 3.75711i 0.543244 0.245610i
\(235\) −13.6133 23.5790i −0.888037 1.53812i
\(236\) −15.3746 −1.00080
\(237\) −5.04542 24.6931i −0.327735 1.60399i
\(238\) −1.90263 3.63957i −0.123329 0.235918i
\(239\) 29.6350i 1.91693i −0.285211 0.958465i \(-0.592064\pi\)
0.285211 0.958465i \(-0.407936\pi\)
\(240\) 0.176947 + 0.866008i 0.0114219 + 0.0559006i
\(241\) 18.1245i 1.16750i −0.811933 0.583750i \(-0.801585\pi\)
0.811933 0.583750i \(-0.198415\pi\)
\(242\) 7.31939 4.22585i 0.470508 0.271648i
\(243\) 13.7969 7.25582i 0.885068 0.465461i
\(244\) 2.47524 1.42908i 0.158461 0.0914874i
\(245\) −6.33471 13.4633i −0.404710 0.860140i
\(246\) −4.56262 + 13.6743i −0.290902 + 0.871842i
\(247\) −12.4200 + 22.6223i −0.790266 + 1.43942i
\(248\) −6.77862 11.7409i −0.430443 0.745549i
\(249\) −18.7466 + 16.6137i −1.18802 + 1.05285i
\(250\) 9.82437i 0.621348i
\(251\) −3.79901 + 6.58007i −0.239791 + 0.415330i −0.960654 0.277747i \(-0.910412\pi\)
0.720863 + 0.693077i \(0.243746\pi\)
\(252\) −3.61594 9.57187i −0.227783 0.602971i
\(253\) −0.803624 + 1.39192i −0.0505234 + 0.0875091i
\(254\) 7.93729 4.58260i 0.498030 0.287538i
\(255\) −1.35690 6.64088i −0.0849723 0.415868i
\(256\) −15.3234 −0.957710
\(257\) 23.7009 1.47842 0.739212 0.673473i \(-0.235198\pi\)
0.739212 + 0.673473i \(0.235198\pi\)
\(258\) 0.612489 0.125147i 0.0381319 0.00779131i
\(259\) 7.71773 4.03454i 0.479556 0.250694i
\(260\) −0.212511 9.87748i −0.0131794 0.612575i
\(261\) −0.663613 1.55612i −0.0410766 0.0963212i
\(262\) −12.6605 7.30954i −0.782168 0.451585i
\(263\) −15.2086 8.78068i −0.937801 0.541440i −0.0485307 0.998822i \(-0.515454\pi\)
−0.889270 + 0.457382i \(0.848787\pi\)
\(264\) −0.949887 4.64890i −0.0584615 0.286120i
\(265\) 16.1908i 0.994593i
\(266\) −13.4811 8.55574i −0.826579 0.524586i
\(267\) 6.72405 5.95899i 0.411505 0.364684i
\(268\) 1.58165 2.73951i 0.0966149 0.167342i
\(269\) 23.7413 1.44753 0.723766 0.690045i \(-0.242409\pi\)
0.723766 + 0.690045i \(0.242409\pi\)
\(270\) 0.753976 + 9.28179i 0.0458855 + 0.564871i
\(271\) 30.3088i 1.84113i −0.390590 0.920565i \(-0.627729\pi\)
0.390590 0.920565i \(-0.372271\pi\)
\(272\) −0.442006 −0.0268005
\(273\) 2.97682 + 16.2523i 0.180165 + 0.983636i
\(274\) 10.7582 0.649925
\(275\) 0.475995i 0.0287036i
\(276\) −2.40946 2.71880i −0.145032 0.163653i
\(277\) 17.5811 1.05634 0.528172 0.849137i \(-0.322878\pi\)
0.528172 + 0.849137i \(0.322878\pi\)
\(278\) 6.62069 11.4674i 0.397083 0.687767i
\(279\) 5.75313 + 13.4906i 0.344431 + 0.807662i
\(280\) 15.5821 + 0.653392i 0.931207 + 0.0390476i
\(281\) 27.1501i 1.61964i 0.586680 + 0.809819i \(0.300435\pi\)
−0.586680 + 0.809819i \(0.699565\pi\)
\(282\) −18.3270 + 3.74466i −1.09136 + 0.222991i
\(283\) 6.20370 + 3.58171i 0.368772 + 0.212910i 0.672922 0.739714i \(-0.265039\pi\)
−0.304150 + 0.952624i \(0.598372\pi\)
\(284\) 3.20961 + 1.85307i 0.190455 + 0.109959i
\(285\) −17.4779 19.7219i −1.03530 1.16822i
\(286\) 0.0645949 + 3.00236i 0.00381958 + 0.177533i
\(287\) −22.0508 13.9945i −1.30162 0.826067i
\(288\) 17.1213 + 2.07311i 1.00888 + 0.122159i
\(289\) −13.6105 −0.800619
\(290\) 1.01061 0.0593449
\(291\) 0.338584 0.0691812i 0.0198481 0.00405547i
\(292\) −10.7170 + 6.18748i −0.627167 + 0.362095i
\(293\) −11.3968 + 19.7398i −0.665805 + 1.15321i 0.313261 + 0.949667i \(0.398579\pi\)
−0.979066 + 0.203542i \(0.934755\pi\)
\(294\) −10.1517 + 1.20077i −0.592059 + 0.0700303i
\(295\) −12.6753 + 21.9543i −0.737987 + 1.27823i
\(296\) 9.12809i 0.530560i
\(297\) 0.415598 + 5.11620i 0.0241154 + 0.296872i
\(298\) 3.17132 + 5.49288i 0.183709 + 0.318194i
\(299\) 3.04172 + 5.01606i 0.175907 + 0.290086i
\(300\) −1.02057 0.340526i −0.0589225 0.0196603i
\(301\) −0.0474501 + 1.13159i −0.00273498 + 0.0652238i
\(302\) −2.58760 + 1.49395i −0.148899 + 0.0859671i
\(303\) −2.08513 10.2050i −0.119788 0.586259i
\(304\) −1.48822 + 0.859222i −0.0853551 + 0.0492798i
\(305\) 4.71273i 0.269850i
\(306\) −4.62300 0.559770i −0.264279 0.0319999i
\(307\) 24.9738i 1.42533i −0.701504 0.712665i \(-0.747488\pi\)
0.701504 0.712665i \(-0.252512\pi\)
\(308\) 3.36632 + 0.141157i 0.191814 + 0.00804319i
\(309\) −16.5045 + 3.37228i −0.938907 + 0.191842i
\(310\) −8.76137 −0.497612
\(311\) 9.00463 + 15.5965i 0.510606 + 0.884395i 0.999924 + 0.0122902i \(0.00391219\pi\)
−0.489319 + 0.872105i \(0.662754\pi\)
\(312\) −16.5422 5.12684i −0.936519 0.290250i
\(313\) 17.5542 + 10.1349i 0.992223 + 0.572860i 0.905938 0.423410i \(-0.139167\pi\)
0.0862849 + 0.996271i \(0.472500\pi\)
\(314\) −6.19292 10.7265i −0.349487 0.605329i
\(315\) −16.6494 2.72796i −0.938086 0.153703i
\(316\) −9.37909 + 16.2451i −0.527615 + 0.913856i
\(317\) −8.12697 4.69211i −0.456456 0.263535i 0.254097 0.967179i \(-0.418222\pi\)
−0.710553 + 0.703644i \(0.751555\pi\)
\(318\) 10.5517 + 3.52073i 0.591712 + 0.197433i
\(319\) 0.557056 0.0311891
\(320\) −4.64105 + 8.03854i −0.259443 + 0.449368i
\(321\) 0.706159 + 0.796821i 0.0394139 + 0.0444742i
\(322\) −3.21642 + 1.68142i −0.179244 + 0.0937021i
\(323\) 11.4122 6.58884i 0.634993 0.366613i
\(324\) −11.2668 2.76905i −0.625934 0.153836i
\(325\) 1.52290 + 0.836097i 0.0844753 + 0.0463783i
\(326\) 0.652465 0.376701i 0.0361367 0.0208635i
\(327\) 19.0204 + 6.34641i 1.05183 + 0.350957i
\(328\) 23.7070 13.6873i 1.30900 0.755753i
\(329\) 1.41981 33.8596i 0.0782766 1.86674i
\(330\) −2.90878 0.970553i −0.160123 0.0534272i
\(331\) 9.40426 + 16.2887i 0.516905 + 0.895306i 0.999807 + 0.0196317i \(0.00624935\pi\)
−0.482902 + 0.875674i \(0.660417\pi\)
\(332\) 18.6433 1.02319
\(333\) 1.18700 9.80310i 0.0650469 0.537206i
\(334\) −4.10171 + 2.36812i −0.224436 + 0.129578i
\(335\) −2.60794 4.51709i −0.142487 0.246795i
\(336\) −0.391642 + 1.02813i −0.0213658 + 0.0560892i
\(337\) 20.7828 1.13211 0.566056 0.824367i \(-0.308469\pi\)
0.566056 + 0.824367i \(0.308469\pi\)
\(338\) 9.71922 + 5.06705i 0.528656 + 0.275611i
\(339\) 11.9679 2.44535i 0.650008 0.132813i
\(340\) −2.52238 + 4.36889i −0.136795 + 0.236936i
\(341\) −4.82934 −0.261524
\(342\) −16.6536 + 7.10200i −0.900524 + 0.384032i
\(343\) 2.32229 18.3741i 0.125392 0.992107i
\(344\) −1.02809 0.593566i −0.0554307 0.0320030i
\(345\) −5.86879 + 1.19914i −0.315965 + 0.0645596i
\(346\) −10.5272 + 6.07787i −0.565945 + 0.326748i
\(347\) 2.62990i 0.141180i −0.997505 0.0705902i \(-0.977512\pi\)
0.997505 0.0705902i \(-0.0224883\pi\)
\(348\) −0.398517 + 1.19437i −0.0213628 + 0.0640248i
\(349\) 2.04081 1.17826i 0.109242 0.0630710i −0.444383 0.895837i \(-0.646577\pi\)
0.553626 + 0.832766i \(0.313244\pi\)
\(350\) −0.575960 + 0.907529i −0.0307864 + 0.0485095i
\(351\) 17.0988 + 7.65707i 0.912667 + 0.408704i
\(352\) −2.83948 + 4.91813i −0.151345 + 0.262137i
\(353\) −11.3836 + 19.7170i −0.605888 + 1.04943i 0.386023 + 0.922489i \(0.373849\pi\)
−0.991911 + 0.126939i \(0.959485\pi\)
\(354\) 11.5516 + 13.0347i 0.613961 + 0.692786i
\(355\) 5.29222 3.05547i 0.280882 0.162167i
\(356\) −6.68699 −0.354410
\(357\) 3.00326 7.88411i 0.158949 0.417272i
\(358\) −9.40085 + 16.2827i −0.496850 + 0.860570i
\(359\) 5.83980 + 3.37161i 0.308213 + 0.177947i 0.646126 0.763230i \(-0.276388\pi\)
−0.337914 + 0.941177i \(0.609721\pi\)
\(360\) 10.6188 14.1408i 0.559659 0.745288i
\(361\) 16.1163 27.9143i 0.848228 1.46917i
\(362\) −5.28602 −0.277827
\(363\) 16.4697 + 5.49535i 0.864436 + 0.288431i
\(364\) 6.36465 10.5223i 0.333598 0.551518i
\(365\) 20.4047i 1.06803i
\(366\) −3.07134 1.02480i −0.160542 0.0535669i
\(367\) 11.0644 + 6.38805i 0.577559 + 0.333454i 0.760163 0.649733i \(-0.225119\pi\)
−0.182604 + 0.983187i \(0.558453\pi\)
\(368\) 0.390617i 0.0203623i
\(369\) −27.2400 + 11.6166i −1.41806 + 0.604736i
\(370\) 5.10871 + 2.94951i 0.265589 + 0.153338i
\(371\) −10.7988 + 17.0154i −0.560645 + 0.883396i
\(372\) 3.45491 10.3545i 0.179129 0.536853i
\(373\) 12.8528 + 22.2617i 0.665493 + 1.15267i 0.979151 + 0.203132i \(0.0651119\pi\)
−0.313659 + 0.949536i \(0.601555\pi\)
\(374\) 0.766703 1.32797i 0.0396452 0.0686676i
\(375\) −15.1043 + 13.3858i −0.779985 + 0.691239i
\(376\) 30.7625 + 17.7608i 1.58646 + 0.915942i
\(377\) 0.978482 1.78225i 0.0503944 0.0917904i
\(378\) −5.39830 + 10.2574i −0.277659 + 0.527583i
\(379\) −15.2609 26.4326i −0.783898 1.35775i −0.929655 0.368431i \(-0.879895\pi\)
0.145757 0.989320i \(-0.453438\pi\)
\(380\) 19.6132i 1.00614i
\(381\) 17.8601 + 5.95926i 0.914999 + 0.305302i
\(382\) −2.07976 3.60225i −0.106410 0.184307i
\(383\) 4.14360 + 7.17693i 0.211728 + 0.366724i 0.952255 0.305302i \(-0.0987575\pi\)
−0.740527 + 0.672026i \(0.765424\pi\)
\(384\) −8.97853 10.1313i −0.458184 0.517009i
\(385\) 2.97688 4.69061i 0.151716 0.239055i
\(386\) 3.92951 + 2.26871i 0.200007 + 0.115474i
\(387\) 1.02693 + 0.771149i 0.0522016 + 0.0391997i
\(388\) −0.222747 0.128603i −0.0113083 0.00652883i
\(389\) 23.2193 13.4057i 1.17727 0.679695i 0.221886 0.975073i \(-0.428779\pi\)
0.955381 + 0.295378i \(0.0954454\pi\)
\(390\) −8.21453 + 7.60156i −0.415959 + 0.384920i
\(391\) 2.99540i 0.151484i
\(392\) 15.9399 + 11.0795i 0.805086 + 0.559597i
\(393\) −6.01207 29.4240i −0.303269 1.48425i
\(394\) 0.846693 + 1.46652i 0.0426558 + 0.0738820i
\(395\) 15.4649 + 26.7860i 0.778124 + 1.34775i
\(396\) 2.29406 3.05496i 0.115281 0.153518i
\(397\) −5.06386 + 2.92362i −0.254148 + 0.146732i −0.621662 0.783286i \(-0.713542\pi\)
0.367514 + 0.930018i \(0.380209\pi\)
\(398\) −1.58821 −0.0796099
\(399\) −5.21419 32.3836i −0.261036 1.62121i
\(400\) 0.0578416 + 0.100185i 0.00289208 + 0.00500923i
\(401\) 4.14953i 0.207218i −0.994618 0.103609i \(-0.966961\pi\)
0.994618 0.103609i \(-0.0330390\pi\)
\(402\) −3.51094 + 0.717374i −0.175110 + 0.0357793i
\(403\) −8.48286 + 15.4510i −0.422561 + 0.769670i
\(404\) −3.87611 + 6.71362i −0.192844 + 0.334015i
\(405\) −13.2429 + 13.8057i −0.658043 + 0.686010i
\(406\) 1.06208 + 0.674045i 0.0527101 + 0.0334523i
\(407\) 2.81596 + 1.62580i 0.139582 + 0.0805878i
\(408\) 5.86515 + 6.61817i 0.290368 + 0.327648i
\(409\) 10.6492i 0.526570i 0.964718 + 0.263285i \(0.0848060\pi\)
−0.964718 + 0.263285i \(0.915194\pi\)
\(410\) 17.6908i 0.873685i
\(411\) 14.6581 + 16.5400i 0.723030 + 0.815858i
\(412\) 10.8579 + 6.26884i 0.534933 + 0.308843i
\(413\) −27.9638 + 14.6184i −1.37601 + 0.719325i
\(414\) −0.494689 + 4.08552i −0.0243126 + 0.200792i
\(415\) 15.3702 26.6220i 0.754493 1.30682i
\(416\) 10.7475 + 17.7235i 0.526938 + 0.868964i
\(417\) 26.6511 5.44549i 1.30511 0.266667i
\(418\) 5.96162i 0.291593i
\(419\) 4.05247 + 7.01909i 0.197976 + 0.342905i 0.947872 0.318651i \(-0.103230\pi\)
−0.749896 + 0.661556i \(0.769896\pi\)
\(420\) 7.92734 + 9.73830i 0.386815 + 0.475180i
\(421\) 16.7895 0.818270 0.409135 0.912474i \(-0.365830\pi\)
0.409135 + 0.912474i \(0.365830\pi\)
\(422\) −5.38536 + 3.10924i −0.262155 + 0.151355i
\(423\) −30.7278 23.0744i −1.49404 1.12192i
\(424\) −10.5617 18.2935i −0.512923 0.888409i
\(425\) −0.443552 0.768254i −0.0215154 0.0372658i
\(426\) −0.840476 4.11342i −0.0407212 0.199296i
\(427\) 3.14325 4.95275i 0.152113 0.239680i
\(428\) 0.792429i 0.0383035i
\(429\) −4.52792 + 4.19004i −0.218610 + 0.202297i
\(430\) −0.664401 + 0.383592i −0.0320403 + 0.0184985i
\(431\) −11.9816 6.91758i −0.577134 0.333208i 0.182860 0.983139i \(-0.441465\pi\)
−0.759993 + 0.649931i \(0.774798\pi\)
\(432\) 0.709180 + 1.02633i 0.0341204 + 0.0493791i
\(433\) 10.1569 + 5.86410i 0.488111 + 0.281811i 0.723790 0.690020i \(-0.242398\pi\)
−0.235680 + 0.971831i \(0.575732\pi\)
\(434\) −9.20759 5.84357i −0.441979 0.280500i
\(435\) 1.37696 + 1.55374i 0.0660202 + 0.0744964i
\(436\) −7.46182 12.9243i −0.357356 0.618959i
\(437\) −5.82281 10.0854i −0.278543 0.482450i
\(438\) 13.2980 + 4.43705i 0.635402 + 0.212011i
\(439\) 27.4492i 1.31008i 0.755595 + 0.655039i \(0.227348\pi\)
−0.755595 + 0.655039i \(0.772652\pi\)
\(440\) 2.91153 + 5.04292i 0.138802 + 0.240412i
\(441\) −15.6779 13.9715i −0.746566 0.665312i
\(442\) −2.90198 4.78560i −0.138033 0.227628i
\(443\) 23.7433 + 13.7082i 1.12808 + 0.651298i 0.943451 0.331511i \(-0.107558\pi\)
0.184629 + 0.982808i \(0.440892\pi\)
\(444\) −5.50036 + 4.87453i −0.261036 + 0.231335i
\(445\) −5.51299 + 9.54877i −0.261341 + 0.452655i
\(446\) −0.581616 1.00739i −0.0275403 0.0477012i
\(447\) −4.12401 + 12.3598i −0.195059 + 0.584598i
\(448\) −10.2389 + 5.35251i −0.483742 + 0.252882i
\(449\) −5.57195 3.21697i −0.262957 0.151818i 0.362726 0.931896i \(-0.381846\pi\)
−0.625683 + 0.780078i \(0.715179\pi\)
\(450\) 0.478097 + 1.12110i 0.0225377 + 0.0528490i
\(451\) 9.75131i 0.459171i
\(452\) −7.87344 4.54573i −0.370336 0.213813i
\(453\) −5.82247 1.94275i −0.273564 0.0912782i
\(454\) 2.51455i 0.118013i
\(455\) −9.77819 17.7634i −0.458409 0.832762i
\(456\) 32.6129 + 10.8817i 1.52724 + 0.509585i
\(457\) 23.9957 1.12247 0.561235 0.827656i \(-0.310326\pi\)
0.561235 + 0.827656i \(0.310326\pi\)
\(458\) −5.03386 + 8.71890i −0.235217 + 0.407407i
\(459\) −5.43826 7.87026i −0.253836 0.367352i
\(460\) 3.86095 + 2.22912i 0.180018 + 0.103933i
\(461\) −3.15743 + 5.46883i −0.147056 + 0.254709i −0.930138 0.367210i \(-0.880313\pi\)
0.783082 + 0.621918i \(0.213646\pi\)
\(462\) −2.40959 2.96005i −0.112104 0.137714i
\(463\) −4.43562 −0.206141 −0.103070 0.994674i \(-0.532867\pi\)
−0.103070 + 0.994674i \(0.532867\pi\)
\(464\) 0.117246 0.0676919i 0.00544300 0.00314252i
\(465\) −11.9374 13.4700i −0.553585 0.624658i
\(466\) 6.98647 12.1009i 0.323642 0.560565i
\(467\) −2.04445 + 3.54109i −0.0946057 + 0.163862i −0.909444 0.415826i \(-0.863492\pi\)
0.814838 + 0.579688i \(0.196826\pi\)
\(468\) −5.74448 12.7057i −0.265539 0.587323i
\(469\) 0.271996 6.48656i 0.0125596 0.299522i
\(470\) 19.8803 11.4779i 0.917009 0.529436i
\(471\) 8.05334 24.1361i 0.371078 1.11213i
\(472\) 33.0740i 1.52235i
\(473\) −0.366224 + 0.211439i −0.0168390 + 0.00972199i
\(474\) 20.8196 4.25397i 0.956277 0.195391i
\(475\) −2.98684 1.72445i −0.137046 0.0791234i
\(476\) −5.56477 + 2.90905i −0.255061 + 0.133336i
\(477\) 8.96392 + 21.0197i 0.410430 + 0.962424i
\(478\) 24.9863 1.14285
\(479\) 15.1680 26.2717i 0.693042 1.20038i −0.277794 0.960641i \(-0.589603\pi\)
0.970836 0.239744i \(-0.0770634\pi\)
\(480\) −20.7365 + 4.23698i −0.946486 + 0.193391i
\(481\) 10.1479 6.15366i 0.462704 0.280583i
\(482\) 15.2814 0.696048
\(483\) −6.96748 2.65409i −0.317032 0.120765i
\(484\) −6.46117 11.1911i −0.293690 0.508686i
\(485\) −0.367281 + 0.212050i −0.0166774 + 0.00962867i
\(486\) 6.11764 + 11.6326i 0.277502 + 0.527666i
\(487\) −36.5435 −1.65594 −0.827971 0.560771i \(-0.810505\pi\)
−0.827971 + 0.560771i \(0.810505\pi\)
\(488\) 3.07425 + 5.32476i 0.139165 + 0.241040i
\(489\) 1.46814 + 0.489866i 0.0663917 + 0.0221525i
\(490\) 11.3514 5.34102i 0.512804 0.241282i
\(491\) −21.6683 + 12.5102i −0.977875 + 0.564577i −0.901628 0.432512i \(-0.857627\pi\)
−0.0762474 + 0.997089i \(0.524294\pi\)
\(492\) 20.9075 + 6.97608i 0.942583 + 0.314506i
\(493\) −0.899086 + 0.519087i −0.0404928 + 0.0233785i
\(494\) −19.0737 10.4717i −0.858164 0.471146i
\(495\) −2.47107 5.79445i −0.111066 0.260441i
\(496\) −1.01645 + 0.586849i −0.0456400 + 0.0263503i
\(497\) 7.59967 + 0.318671i 0.340892 + 0.0142944i
\(498\) −14.0076 15.8060i −0.627694 0.708282i
\(499\) −8.03279 + 13.9132i −0.359597 + 0.622841i −0.987894 0.155133i \(-0.950419\pi\)
0.628296 + 0.777974i \(0.283753\pi\)
\(500\) 15.0211 0.671764
\(501\) −9.22946 3.07954i −0.412342 0.137583i
\(502\) −5.54789 3.20308i −0.247614 0.142960i
\(503\) −19.4463 + 33.6820i −0.867069 + 1.50181i −0.00209081 + 0.999998i \(0.500666\pi\)
−0.864978 + 0.501810i \(0.832668\pi\)
\(504\) 20.5911 7.77864i 0.917202 0.346488i
\(505\) 6.39120 + 11.0699i 0.284405 + 0.492603i
\(506\) −1.17357 0.677563i −0.0521717 0.0301214i
\(507\) 5.45225 + 21.8466i 0.242143 + 0.970241i
\(508\) −7.00662 12.1358i −0.310869 0.538440i
\(509\) 30.1839 1.33788 0.668939 0.743317i \(-0.266749\pi\)
0.668939 + 0.743317i \(0.266749\pi\)
\(510\) 5.59916 1.14405i 0.247935 0.0506593i
\(511\) −13.6093 + 21.4439i −0.602041 + 0.948623i
\(512\) 2.71177i 0.119845i
\(513\) −33.6095 15.9273i −1.48390 0.703209i
\(514\) 19.9831i 0.881417i
\(515\) 17.9033 10.3365i 0.788915 0.455480i
\(516\) −0.191345 0.936473i −0.00842349 0.0412259i
\(517\) 10.9582 6.32671i 0.481941 0.278249i
\(518\) 3.40166 + 6.50709i 0.149460 + 0.285905i
\(519\) −23.6877 7.90373i −1.03977 0.346935i
\(520\) 21.2485 0.457157i 0.931810 0.0200476i
\(521\) −16.6107 28.7706i −0.727729 1.26046i −0.957841 0.287299i \(-0.907243\pi\)
0.230112 0.973164i \(-0.426091\pi\)
\(522\) 1.31202 0.559515i 0.0574254 0.0244893i
\(523\) 19.3414i 0.845740i 0.906190 + 0.422870i \(0.138977\pi\)
−0.906190 + 0.422870i \(0.861023\pi\)
\(524\) −11.1760 + 19.3574i −0.488227 + 0.845634i
\(525\) −2.18002 + 0.351012i −0.0951438 + 0.0153194i
\(526\) 7.40330 12.8229i 0.322799 0.559104i
\(527\) 7.79454 4.50018i 0.339536 0.196031i
\(528\) −0.402471 + 0.0822350i −0.0175153 + 0.00357882i
\(529\) 20.3529 0.884907
\(530\) −13.6510 −0.592963
\(531\) −4.30086 + 35.5197i −0.186641 + 1.54143i
\(532\) −13.0814 + 20.6121i −0.567151 + 0.893648i
\(533\) −31.1984 17.1284i −1.35135 0.741914i
\(534\) 5.02423 + 5.66928i 0.217420 + 0.245334i
\(535\) −1.13156 0.653306i −0.0489216 0.0282449i
\(536\) 5.89325 + 3.40247i 0.254550 + 0.146964i
\(537\) −37.8424 + 7.73216i −1.63302 + 0.333667i
\(538\) 20.0171i 0.863000i
\(539\) 6.25699 2.94401i 0.269508 0.126808i
\(540\) 14.1915 1.15280i 0.610705 0.0496087i
\(541\) −13.4353 + 23.2706i −0.577629 + 1.00048i 0.418122 + 0.908391i \(0.362689\pi\)
−0.995751 + 0.0920914i \(0.970645\pi\)
\(542\) 25.5544 1.09766
\(543\) −7.20225 8.12693i −0.309078 0.348760i
\(544\) 10.5838i 0.453776i
\(545\) −24.6071 −1.05405
\(546\) −13.7029 + 2.50986i −0.586431 + 0.107412i
\(547\) −30.2508 −1.29343 −0.646716 0.762731i \(-0.723858\pi\)
−0.646716 + 0.762731i \(0.723858\pi\)
\(548\) 16.4488i 0.702660i
\(549\) −2.60917 6.11828i −0.111357 0.261122i
\(550\) −0.401328 −0.0171127
\(551\) −2.01813 + 3.49550i −0.0859750 + 0.148913i
\(552\) 5.84872 5.18325i 0.248938 0.220614i
\(553\) −1.61292 + 38.4649i −0.0685882 + 1.63569i
\(554\) 14.8232i 0.629778i
\(555\) 2.42596 + 11.8730i 0.102976 + 0.503983i
\(556\) −17.5332 10.1228i −0.743573 0.429302i
\(557\) 23.3427 + 13.4769i 0.989060 + 0.571034i 0.904993 0.425426i \(-0.139876\pi\)
0.0840671 + 0.996460i \(0.473209\pi\)
\(558\) −11.3744 + 4.85067i −0.481517 + 0.205345i
\(559\) 0.0331993 + 1.54310i 0.00140418 + 0.0652660i
\(560\) 0.0565664 1.34899i 0.00239037 0.0570054i
\(561\) 3.08630 0.630610i 0.130304 0.0266244i
\(562\) −22.8912 −0.965607
\(563\) 7.64099 0.322029 0.161015 0.986952i \(-0.448523\pi\)
0.161015 + 0.986952i \(0.448523\pi\)
\(564\) 5.72545 + 28.0213i 0.241085 + 1.17991i
\(565\) −12.9823 + 7.49532i −0.546169 + 0.315331i
\(566\) −3.01986 + 5.23056i −0.126934 + 0.219857i
\(567\) −23.1253 + 5.67624i −0.971172 + 0.238380i
\(568\) −3.98634 + 6.90454i −0.167263 + 0.289708i
\(569\) 3.73804i 0.156707i −0.996926 0.0783534i \(-0.975034\pi\)
0.996926 0.0783534i \(-0.0249662\pi\)
\(570\) 16.6282 14.7363i 0.696479 0.617234i
\(571\) 7.51056 + 13.0087i 0.314307 + 0.544396i 0.979290 0.202463i \(-0.0648945\pi\)
−0.664983 + 0.746859i \(0.731561\pi\)
\(572\) 4.59049 0.0987632i 0.191938 0.00412950i
\(573\) 2.70454 8.10559i 0.112984 0.338616i
\(574\) 11.7992 18.5918i 0.492490 0.776006i
\(575\) −0.678935 + 0.391983i −0.0283135 + 0.0163468i
\(576\) −1.57475 + 13.0055i −0.0656147 + 0.541895i
\(577\) 15.7668 9.10299i 0.656382 0.378963i −0.134515 0.990912i \(-0.542948\pi\)
0.790897 + 0.611949i \(0.209614\pi\)
\(578\) 11.4755i 0.477319i
\(579\) 1.86600 + 9.13251i 0.0775483 + 0.379534i
\(580\) 1.54518i 0.0641602i
\(581\) 33.9091 17.7264i 1.40679 0.735414i
\(582\) 0.0583291 + 0.285472i 0.00241782 + 0.0118332i
\(583\) −7.52457 −0.311636
\(584\) −13.3106 23.0546i −0.550796 0.954006i
\(585\) −22.8793 2.27215i −0.945942 0.0939417i
\(586\) −16.6433 9.60900i −0.687528 0.396944i
\(587\) 2.83282 + 4.90659i 0.116923 + 0.202516i 0.918547 0.395312i \(-0.129364\pi\)
−0.801624 + 0.597829i \(0.796030\pi\)
\(588\) 1.83593 + 15.5216i 0.0757125 + 0.640099i
\(589\) 17.4959 30.3039i 0.720908 1.24865i
\(590\) −18.5105 10.6870i −0.762064 0.439978i
\(591\) −1.10105 + 3.29988i −0.0452911 + 0.135739i
\(592\) 0.790250 0.0324791
\(593\) 1.76064 3.04952i 0.0723010 0.125229i −0.827608 0.561306i \(-0.810299\pi\)
0.899909 + 0.436077i \(0.143632\pi\)
\(594\) −4.31365 + 0.350405i −0.176991 + 0.0143773i
\(595\) −0.433772 + 10.3446i −0.0177829 + 0.424087i
\(596\) 8.39841 4.84883i 0.344012 0.198616i
\(597\) −2.16395 2.44178i −0.0885646 0.0999352i
\(598\) −4.22921 + 2.56458i −0.172945 + 0.104874i
\(599\) 22.9515 13.2511i 0.937774 0.541424i 0.0485125 0.998823i \(-0.484552\pi\)
0.889262 + 0.457398i \(0.151219\pi\)
\(600\) 0.732544 2.19546i 0.0299060 0.0896291i
\(601\) −24.6360 + 14.2236i −1.00492 + 0.580194i −0.909702 0.415262i \(-0.863690\pi\)
−0.0952232 + 0.995456i \(0.530356\pi\)
\(602\) −0.954084 0.0400069i −0.0388856 0.00163056i
\(603\) −5.88660 4.42042i −0.239721 0.180014i
\(604\) 2.28419 + 3.95634i 0.0929425 + 0.160981i
\(605\) −21.3073 −0.866263
\(606\) 8.60416 1.75805i 0.349520 0.0714157i
\(607\) 8.40141 4.85056i 0.341003 0.196878i −0.319713 0.947515i \(-0.603586\pi\)
0.660715 + 0.750637i \(0.270253\pi\)
\(608\) −20.5740 35.6352i −0.834386 1.44520i
\(609\) 0.410789 + 2.55127i 0.0166460 + 0.103383i
\(610\) 3.97347 0.160881
\(611\) −0.993394 46.1727i −0.0401884 1.86795i
\(612\) −0.855867 + 7.06840i −0.0345964 + 0.285723i
\(613\) 4.23217 7.33033i 0.170936 0.296069i −0.767812 0.640676i \(-0.778654\pi\)
0.938747 + 0.344606i \(0.111988\pi\)
\(614\) 21.0563 0.849763
\(615\) 27.1985 24.1038i 1.09675 0.971960i
\(616\) −0.303659 + 7.24167i −0.0122348 + 0.291775i
\(617\) −10.0946 5.82812i −0.406393 0.234631i 0.282846 0.959165i \(-0.408722\pi\)
−0.689239 + 0.724534i \(0.742055\pi\)
\(618\) −2.84329 13.9155i −0.114374 0.559764i
\(619\) 25.2951 14.6041i 1.01669 0.586989i 0.103550 0.994624i \(-0.466980\pi\)
0.913145 + 0.407635i \(0.133646\pi\)
\(620\) 13.3958i 0.537989i
\(621\) −6.95524 + 4.80599i −0.279104 + 0.192858i
\(622\) −13.1499 + 7.59212i −0.527265 + 0.304416i
\(623\) −12.1625 + 6.35810i −0.487281 + 0.254732i
\(624\) −0.443848 + 1.43212i −0.0177681 + 0.0573306i
\(625\) 11.1793 19.3631i 0.447172 0.774524i
\(626\) −8.54512 + 14.8006i −0.341532 + 0.591550i
\(627\) 9.16562 8.12276i 0.366040 0.324392i
\(628\) −16.4004 + 9.46875i −0.654445 + 0.377844i
\(629\) −6.05994 −0.241626
\(630\) 2.30004 14.0377i 0.0916359 0.559275i
\(631\) 12.7791 22.1340i 0.508727 0.881141i −0.491222 0.871034i \(-0.663450\pi\)
0.999949 0.0101065i \(-0.00321706\pi\)
\(632\) −34.9466 20.1764i −1.39010 0.802575i
\(633\) −12.1179 4.04329i −0.481642 0.160706i
\(634\) 3.95608 6.85214i 0.157116 0.272133i
\(635\) −23.1060 −0.916934
\(636\) 5.38307 16.1332i 0.213453 0.639724i
\(637\) 1.57146 25.1899i 0.0622637 0.998060i
\(638\) 0.469673i 0.0185945i
\(639\) 5.17897 6.89675i 0.204877 0.272831i
\(640\) 14.3873 + 8.30653i 0.568709 + 0.328344i
\(641\) 34.2795i 1.35396i −0.736002 0.676980i \(-0.763288\pi\)
0.736002 0.676980i \(-0.236712\pi\)
\(642\) −0.671828 + 0.595387i −0.0265149 + 0.0234981i
\(643\) −19.3892 11.1943i −0.764634 0.441462i 0.0663229 0.997798i \(-0.478873\pi\)
−0.830957 + 0.556336i \(0.812207\pi\)
\(644\) 2.57084 + 4.91779i 0.101305 + 0.193788i
\(645\) −1.49500 0.498827i −0.0588656 0.0196413i
\(646\) 5.55529 + 9.62204i 0.218570 + 0.378574i
\(647\) 10.3042 17.8473i 0.405098 0.701651i −0.589235 0.807962i \(-0.700571\pi\)
0.994333 + 0.106311i \(0.0339040\pi\)
\(648\) 5.95682 24.2373i 0.234006 0.952131i
\(649\) −10.2031 5.89078i −0.400508 0.231233i
\(650\) −0.704943 + 1.28401i −0.0276501 + 0.0503631i
\(651\) −3.56129 22.1180i −0.139578 0.866873i
\(652\) −0.575962 0.997595i −0.0225564 0.0390688i
\(653\) 27.5127i 1.07665i −0.842736 0.538327i \(-0.819056\pi\)
0.842736 0.538327i \(-0.180944\pi\)
\(654\) −5.35089 + 16.0368i −0.209236 + 0.627087i
\(655\) 18.4278 + 31.9179i 0.720034 + 1.24713i
\(656\) −1.18495 2.05240i −0.0462647 0.0801328i
\(657\) 11.2969 + 26.4903i 0.440734 + 1.03349i
\(658\) 28.5482 + 1.19709i 1.11293 + 0.0466675i
\(659\) −33.0777 19.0974i −1.28852 0.743929i −0.310132 0.950693i \(-0.600373\pi\)
−0.978391 + 0.206764i \(0.933707\pi\)
\(660\) −1.48394 + 4.44741i −0.0577623 + 0.173115i
\(661\) −5.78197 3.33822i −0.224893 0.129842i 0.383321 0.923615i \(-0.374780\pi\)
−0.608214 + 0.793773i \(0.708114\pi\)
\(662\) −13.7335 + 7.92907i −0.533770 + 0.308172i
\(663\) 3.40359 10.9820i 0.132185 0.426506i
\(664\) 40.1057i 1.55640i
\(665\) 18.6486 + 35.6731i 0.723160 + 1.38334i
\(666\) 8.26534 + 1.00080i 0.320275 + 0.0387801i
\(667\) 0.458737 + 0.794555i 0.0177624 + 0.0307653i
\(668\) 3.62078 + 6.27137i 0.140092 + 0.242646i
\(669\) 0.756340 2.26677i 0.0292418 0.0876385i
\(670\) 3.80851 2.19885i 0.147136 0.0849489i
\(671\) 2.19021 0.0845521
\(672\) −24.6185 9.37783i −0.949681 0.361758i
\(673\) 5.54228 + 9.59951i 0.213639 + 0.370034i 0.952851 0.303439i \(-0.0981350\pi\)
−0.739212 + 0.673473i \(0.764802\pi\)
\(674\) 17.5227i 0.674950i
\(675\) −1.07221 + 2.26255i −0.0412692 + 0.0870855i
\(676\) 7.74733 14.8603i 0.297974 0.571551i
\(677\) 14.9397 25.8763i 0.574178 0.994506i −0.421952 0.906618i \(-0.638655\pi\)
0.996130 0.0878879i \(-0.0280117\pi\)
\(678\) 2.06176 + 10.0906i 0.0791814 + 0.387526i
\(679\) −0.527417 0.0221158i −0.0202404 0.000848726i
\(680\) −9.39841 5.42617i −0.360413 0.208084i
\(681\) 3.86595 3.42609i 0.148144 0.131288i
\(682\) 4.07179i 0.155917i
\(683\) 3.80861i 0.145732i 0.997342 + 0.0728662i \(0.0232146\pi\)
−0.997342 + 0.0728662i \(0.976785\pi\)
\(684\) 10.8587 + 25.4628i 0.415193 + 0.973593i
\(685\) −23.4883 13.5610i −0.897443 0.518139i
\(686\) 15.4918 + 1.95801i 0.591481 + 0.0747571i
\(687\) −20.2634 + 4.14033i −0.773098 + 0.157963i
\(688\) −0.0513871 + 0.0890050i −0.00195911 + 0.00339329i
\(689\) −13.2171 + 24.0742i −0.503531 + 0.917152i
\(690\) −1.01104 4.94818i −0.0384896 0.188374i
\(691\) 32.3395i 1.23025i −0.788428 0.615127i \(-0.789105\pi\)
0.788428 0.615127i \(-0.210895\pi\)
\(692\) 9.29284 + 16.0957i 0.353261 + 0.611866i
\(693\) 1.26780 7.73769i 0.0481599 0.293931i
\(694\) 2.21736 0.0841699
\(695\) −28.9099 + 16.6912i −1.09662 + 0.633132i
\(696\) −2.56934 0.857294i −0.0973904 0.0324957i
\(697\) 9.08668 + 15.7386i 0.344182 + 0.596141i
\(698\) 0.993435 + 1.72068i 0.0376021 + 0.0651287i
\(699\) 28.1235 5.74635i 1.06373 0.217347i
\(700\) 1.38758 + 0.880622i 0.0524455 + 0.0332844i
\(701\) 8.39232i 0.316974i 0.987361 + 0.158487i \(0.0506616\pi\)
−0.987361 + 0.158487i \(0.949338\pi\)
\(702\) −6.45594 + 14.4166i −0.243664 + 0.544120i
\(703\) −20.4036 + 11.7800i −0.769536 + 0.444292i
\(704\) −3.73586 2.15690i −0.140800 0.0812912i
\(705\) 44.7336 + 14.9260i 1.68476 + 0.562145i
\(706\) −16.6241 9.59791i −0.625655 0.361222i
\(707\) −0.666573 + 15.8964i −0.0250690 + 0.597847i
\(708\) 19.9296 17.6620i 0.748999 0.663778i
\(709\) −13.5979 23.5522i −0.510679 0.884523i −0.999923 0.0123757i \(-0.996061\pi\)
0.489244 0.872147i \(-0.337273\pi\)
\(710\) 2.57617 + 4.46206i 0.0966820 + 0.167458i
\(711\) 34.9071 + 26.2128i 1.30912 + 0.983056i
\(712\) 14.3851i 0.539105i
\(713\) −3.97698 6.88832i −0.148939 0.257970i
\(714\) 6.64738 + 2.53216i 0.248772 + 0.0947635i
\(715\) 3.64353 6.63648i 0.136260 0.248190i
\(716\) 24.8957 + 14.3735i 0.930397 + 0.537165i
\(717\) 34.0441 + 38.4149i 1.27140 + 1.43463i
\(718\) −2.84272 + 4.92374i −0.106089 + 0.183752i
\(719\) −14.7050 25.4699i −0.548405 0.949866i −0.998384 0.0568265i \(-0.981902\pi\)
0.449979 0.893039i \(-0.351432\pi\)
\(720\) −1.22422 0.919304i −0.0456240 0.0342604i
\(721\) 25.7093 + 1.07805i 0.957464 + 0.0401486i
\(722\) 23.5355 + 13.5882i 0.875902 + 0.505702i
\(723\) 20.8210 + 23.4942i 0.774341 + 0.873757i
\(724\) 8.08214i 0.300370i
\(725\) 0.235312 + 0.135857i 0.00873926 + 0.00504561i
\(726\) −4.63332 + 13.8862i −0.171959 + 0.515365i
\(727\) 31.8635i 1.18175i −0.806763 0.590876i \(-0.798782\pi\)
0.806763 0.590876i \(-0.201218\pi\)
\(728\) 22.6357 + 13.6917i 0.838933 + 0.507448i
\(729\) −9.54908 + 25.2550i −0.353669 + 0.935370i
\(730\) −17.2039 −0.636746
\(731\) 0.394056 0.682525i 0.0145747 0.0252441i
\(732\) −1.56687 + 4.69597i −0.0579133 + 0.173568i
\(733\) −8.03692 4.64012i −0.296850 0.171387i 0.344177 0.938905i \(-0.388158\pi\)
−0.641027 + 0.767518i \(0.721491\pi\)
\(734\) −5.38599 + 9.32881i −0.198801 + 0.344333i
\(735\) 23.6778 + 10.1749i 0.873370 + 0.375306i
\(736\) −9.35328 −0.344767
\(737\) 2.09929 1.21202i 0.0773282 0.0446455i
\(738\) −9.79437 22.9670i −0.360536 0.845427i
\(739\) −19.1664 + 33.1971i −0.705046 + 1.22118i 0.261629 + 0.965169i \(0.415740\pi\)
−0.966675 + 0.256007i \(0.917593\pi\)
\(740\) 4.50970 7.81103i 0.165780 0.287139i
\(741\) −9.88836 43.5924i −0.363258 1.60141i
\(742\) −14.3463 9.10484i −0.526669 0.334249i
\(743\) 41.4254 23.9170i 1.51975 0.877428i 0.520022 0.854153i \(-0.325924\pi\)
0.999729 0.0232753i \(-0.00740942\pi\)
\(744\) 22.2746 + 7.43223i 0.816627 + 0.272479i
\(745\) 15.9902i 0.585834i
\(746\) −18.7696 + 10.8367i −0.687205 + 0.396758i
\(747\) 5.21525 43.0715i 0.190816 1.57590i
\(748\) −2.03041 1.17226i −0.0742393 0.0428621i
\(749\) −0.753455 1.44130i −0.0275306 0.0526638i
\(750\) −11.2860 12.7350i −0.412107 0.465017i
\(751\) −19.6118 −0.715646 −0.357823 0.933789i \(-0.616481\pi\)
−0.357823 + 0.933789i \(0.616481\pi\)
\(752\) 1.53761 2.66322i 0.0560709 0.0971176i
\(753\) −2.63452 12.8937i −0.0960071 0.469874i
\(754\) 1.50268 + 0.824993i 0.0547242 + 0.0300445i
\(755\) 7.53267 0.274142
\(756\) 15.6832 + 8.25380i 0.570392 + 0.300188i
\(757\) −6.86398 11.8888i −0.249476 0.432105i 0.713905 0.700243i \(-0.246925\pi\)
−0.963380 + 0.268138i \(0.913592\pi\)
\(758\) 22.2862 12.8670i 0.809473 0.467349i
\(759\) −0.557293 2.72748i −0.0202285 0.0990013i
\(760\) −42.1921 −1.53047
\(761\) 11.3944 + 19.7356i 0.413045 + 0.715415i 0.995221 0.0976477i \(-0.0311318\pi\)
−0.582176 + 0.813063i \(0.697798\pi\)
\(762\) −5.02446 + 15.0585i −0.182017 + 0.545510i
\(763\) −25.8604 16.4122i −0.936209 0.594162i
\(764\) −5.50771 + 3.17988i −0.199262 + 0.115044i
\(765\) 9.38780 + 7.04958i 0.339417 + 0.254878i
\(766\) −6.05112 + 3.49362i −0.218636 + 0.126230i
\(767\) −36.7691 + 22.2967i −1.32765 + 0.805086i
\(768\) 19.8632 17.6031i 0.716751 0.635199i
\(769\) 20.0316 11.5653i 0.722359 0.417054i −0.0932614 0.995642i \(-0.529729\pi\)
0.815620 + 0.578588i \(0.196396\pi\)
\(770\) 3.95482 + 2.50991i 0.142522 + 0.0904510i
\(771\) −30.7228 + 27.2271i −1.10645 + 0.980561i
\(772\) 3.46877 6.00808i 0.124844 0.216236i
\(773\) 1.27842 0.0459815 0.0229908 0.999736i