Properties

Label 630.2.t.b.311.10
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 311.10
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.22158 - 1.22791i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-0.443962 - 1.67419i) q^{6} +(2.64030 + 0.169721i) q^{7} +1.00000i q^{8} +(-0.0155088 + 2.99996i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.22158 - 1.22791i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-0.443962 - 1.67419i) q^{6} +(2.64030 + 0.169721i) q^{7} +1.00000i q^{8} +(-0.0155088 + 2.99996i) q^{9} +(-0.866025 - 0.500000i) q^{10} +0.207763i q^{11} +(0.452611 - 1.67187i) q^{12} +(1.22567 + 0.707642i) q^{13} +(2.20171 + 1.46713i) q^{14} +(1.22158 + 1.22791i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.680447 - 1.17857i) q^{17} +(-1.51341 + 2.59029i) q^{18} +(5.73160 - 3.30914i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(-3.01693 - 3.44937i) q^{21} +(-0.103881 + 0.179928i) q^{22} +6.39482i q^{23} +(1.22791 - 1.22158i) q^{24} +1.00000 q^{25} +(0.707642 + 1.22567i) q^{26} +(3.70262 - 3.64563i) q^{27} +(1.17317 + 2.37143i) q^{28} +(6.11758 - 3.53199i) q^{29} +(0.443962 + 1.67419i) q^{30} +(4.10937 - 2.37255i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(0.255113 - 0.253798i) q^{33} +(1.17857 - 0.680447i) q^{34} +(-2.64030 - 0.169721i) q^{35} +(-2.60580 + 1.48655i) q^{36} +(1.32889 + 2.30171i) q^{37} +6.61828 q^{38} +(-0.628332 - 2.36945i) q^{39} -1.00000i q^{40} +(-1.41245 + 2.44643i) q^{41} +(-0.888048 - 4.49571i) q^{42} +(1.06723 + 1.84849i) q^{43} +(-0.179928 + 0.103881i) q^{44} +(0.0155088 - 2.99996i) q^{45} +(-3.19741 + 5.53808i) q^{46} +(-0.0573414 + 0.0993182i) q^{47} +(1.67419 - 0.443962i) q^{48} +(6.94239 + 0.896231i) q^{49} +(0.866025 + 0.500000i) q^{50} +(-2.27839 + 0.604185i) q^{51} +1.41528i q^{52} +(-8.40507 - 4.85267i) q^{53} +(5.02938 - 1.30590i) q^{54} -0.207763i q^{55} +(-0.169721 + 2.64030i) q^{56} +(-11.0649 - 2.99551i) q^{57} +7.06398 q^{58} +(4.34473 + 7.52530i) q^{59} +(-0.452611 + 1.67187i) q^{60} +(-1.85102 - 1.06869i) q^{61} +4.74509 q^{62} +(-0.550105 + 7.91817i) q^{63} -1.00000 q^{64} +(-1.22567 - 0.707642i) q^{65} +(0.347833 - 0.0922387i) q^{66} +(-0.0235223 - 0.0407418i) q^{67} +1.36089 q^{68} +(7.85224 - 7.81175i) q^{69} +(-2.20171 - 1.46713i) q^{70} +3.45539i q^{71} +(-2.99996 - 0.0155088i) q^{72} +(-11.5793 - 6.68529i) q^{73} +2.65778i q^{74} +(-1.22158 - 1.22791i) q^{75} +(5.73160 + 3.30914i) q^{76} +(-0.0352617 + 0.548556i) q^{77} +(0.640573 - 2.36617i) q^{78} +(-7.97657 + 13.8158i) q^{79} +(0.500000 - 0.866025i) q^{80} +(-8.99952 - 0.0930513i) q^{81} +(-2.44643 + 1.41245i) q^{82} +(-8.06016 - 13.9606i) q^{83} +(1.47878 - 4.33742i) q^{84} +(-0.680447 + 1.17857i) q^{85} +2.13446i q^{86} +(-11.8100 - 3.19723i) q^{87} -0.207763 q^{88} +(-1.40976 - 2.44178i) q^{89} +(1.51341 - 2.59029i) q^{90} +(3.11604 + 2.07641i) q^{91} +(-5.53808 + 3.19741i) q^{92} +(-7.93317 - 2.14768i) q^{93} +(-0.0993182 + 0.0573414i) q^{94} +(-5.73160 + 3.30914i) q^{95} +(1.67187 + 0.452611i) q^{96} +(1.39248 - 0.803947i) q^{97} +(5.56417 + 4.24735i) q^{98} +(-0.623280 - 0.00322214i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) −1.22158 1.22791i −0.705277 0.708932i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −0.443962 1.67419i −0.181247 0.683483i
\(7\) 2.64030 + 0.169721i 0.997940 + 0.0641486i
\(8\) 1.00000i 0.353553i
\(9\) −0.0155088 + 2.99996i −0.00516958 + 0.999987i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 0.207763i 0.0626428i 0.999509 + 0.0313214i \(0.00997154\pi\)
−0.999509 + 0.0313214i \(0.990028\pi\)
\(12\) 0.452611 1.67187i 0.130657 0.482627i
\(13\) 1.22567 + 0.707642i 0.339940 + 0.196265i 0.660246 0.751050i \(-0.270452\pi\)
−0.320305 + 0.947314i \(0.603786\pi\)
\(14\) 2.20171 + 1.46713i 0.588431 + 0.392108i
\(15\) 1.22158 + 1.22791i 0.315409 + 0.317044i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.680447 1.17857i 0.165033 0.285845i −0.771634 0.636067i \(-0.780560\pi\)
0.936667 + 0.350222i \(0.113894\pi\)
\(18\) −1.51341 + 2.59029i −0.356714 + 0.610537i
\(19\) 5.73160 3.30914i 1.31492 0.759169i 0.332013 0.943275i \(-0.392272\pi\)
0.982906 + 0.184106i \(0.0589389\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) −3.01693 3.44937i −0.658347 0.752715i
\(22\) −0.103881 + 0.179928i −0.0221476 + 0.0383607i
\(23\) 6.39482i 1.33341i 0.745321 + 0.666706i \(0.232296\pi\)
−0.745321 + 0.666706i \(0.767704\pi\)
\(24\) 1.22791 1.22158i 0.250645 0.249353i
\(25\) 1.00000 0.200000
\(26\) 0.707642 + 1.22567i 0.138780 + 0.240374i
\(27\) 3.70262 3.64563i 0.712569 0.701602i
\(28\) 1.17317 + 2.37143i 0.221708 + 0.448158i
\(29\) 6.11758 3.53199i 1.13601 0.655874i 0.190568 0.981674i \(-0.438967\pi\)
0.945439 + 0.325800i \(0.105634\pi\)
\(30\) 0.443962 + 1.67419i 0.0810560 + 0.305663i
\(31\) 4.10937 2.37255i 0.738065 0.426122i −0.0833006 0.996524i \(-0.526546\pi\)
0.821365 + 0.570403i \(0.193213\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) 0.255113 0.253798i 0.0444095 0.0441805i
\(34\) 1.17857 0.680447i 0.202123 0.116696i
\(35\) −2.64030 0.169721i −0.446292 0.0286881i
\(36\) −2.60580 + 1.48655i −0.434299 + 0.247758i
\(37\) 1.32889 + 2.30171i 0.218468 + 0.378398i 0.954340 0.298723i \(-0.0965607\pi\)
−0.735872 + 0.677121i \(0.763227\pi\)
\(38\) 6.61828 1.07363
\(39\) −0.628332 2.36945i −0.100614 0.379415i
\(40\) 1.00000i 0.158114i
\(41\) −1.41245 + 2.44643i −0.220587 + 0.382068i −0.954986 0.296650i \(-0.904131\pi\)
0.734399 + 0.678718i \(0.237464\pi\)
\(42\) −0.888048 4.49571i −0.137029 0.693702i
\(43\) 1.06723 + 1.84849i 0.162751 + 0.281893i 0.935854 0.352387i \(-0.114630\pi\)
−0.773103 + 0.634280i \(0.781297\pi\)
\(44\) −0.179928 + 0.103881i −0.0271251 + 0.0156607i
\(45\) 0.0155088 2.99996i 0.00231191 0.447208i
\(46\) −3.19741 + 5.53808i −0.471432 + 0.816545i
\(47\) −0.0573414 + 0.0993182i −0.00836410 + 0.0144870i −0.870177 0.492739i \(-0.835996\pi\)
0.861813 + 0.507226i \(0.169329\pi\)
\(48\) 1.67419 0.443962i 0.241648 0.0640804i
\(49\) 6.94239 + 0.896231i 0.991770 + 0.128033i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) −2.27839 + 0.604185i −0.319038 + 0.0846028i
\(52\) 1.41528i 0.196265i
\(53\) −8.40507 4.85267i −1.15452 0.666565i −0.204539 0.978858i \(-0.565570\pi\)
−0.949986 + 0.312293i \(0.898903\pi\)
\(54\) 5.02938 1.30590i 0.684411 0.177711i
\(55\) 0.207763i 0.0280147i
\(56\) −0.169721 + 2.64030i −0.0226800 + 0.352825i
\(57\) −11.0649 2.99551i −1.46558 0.396764i
\(58\) 7.06398 0.927546
\(59\) 4.34473 + 7.52530i 0.565636 + 0.979711i 0.996990 + 0.0775280i \(0.0247027\pi\)
−0.431354 + 0.902183i \(0.641964\pi\)
\(60\) −0.452611 + 1.67187i −0.0584318 + 0.215837i
\(61\) −1.85102 1.06869i −0.236999 0.136832i 0.376798 0.926296i \(-0.377025\pi\)
−0.613797 + 0.789464i \(0.710359\pi\)
\(62\) 4.74509 0.602627
\(63\) −0.550105 + 7.91817i −0.0693067 + 0.997595i
\(64\) −1.00000 −0.125000
\(65\) −1.22567 0.707642i −0.152026 0.0877722i
\(66\) 0.347833 0.0922387i 0.0428153 0.0113538i
\(67\) −0.0235223 0.0407418i −0.00287371 0.00497740i 0.864585 0.502487i \(-0.167581\pi\)
−0.867459 + 0.497509i \(0.834248\pi\)
\(68\) 1.36089 0.165033
\(69\) 7.85224 7.81175i 0.945299 0.940424i
\(70\) −2.20171 1.46713i −0.263154 0.175356i
\(71\) 3.45539i 0.410079i 0.978754 + 0.205040i \(0.0657323\pi\)
−0.978754 + 0.205040i \(0.934268\pi\)
\(72\) −2.99996 0.0155088i −0.353549 0.00182772i
\(73\) −11.5793 6.68529i −1.35525 0.782454i −0.366271 0.930508i \(-0.619366\pi\)
−0.988979 + 0.148054i \(0.952699\pi\)
\(74\) 2.65778i 0.308961i
\(75\) −1.22158 1.22791i −0.141055 0.141786i
\(76\) 5.73160 + 3.30914i 0.657460 + 0.379585i
\(77\) −0.0352617 + 0.548556i −0.00401845 + 0.0625138i
\(78\) 0.640573 2.36617i 0.0725306 0.267916i
\(79\) −7.97657 + 13.8158i −0.897434 + 1.55440i −0.0666713 + 0.997775i \(0.521238\pi\)
−0.830763 + 0.556627i \(0.812095\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) −8.99952 0.0930513i −0.999947 0.0103390i
\(82\) −2.44643 + 1.41245i −0.270163 + 0.155979i
\(83\) −8.06016 13.9606i −0.884717 1.53237i −0.846038 0.533123i \(-0.821018\pi\)
−0.0386794 0.999252i \(-0.512315\pi\)
\(84\) 1.47878 4.33742i 0.161348 0.473251i
\(85\) −0.680447 + 1.17857i −0.0738048 + 0.127834i
\(86\) 2.13446i 0.230164i
\(87\) −11.8100 3.19723i −1.26617 0.342779i
\(88\) −0.207763 −0.0221476
\(89\) −1.40976 2.44178i −0.149435 0.258828i 0.781584 0.623800i \(-0.214412\pi\)
−0.931019 + 0.364972i \(0.881079\pi\)
\(90\) 1.51341 2.59029i 0.159528 0.273040i
\(91\) 3.11604 + 2.07641i 0.326650 + 0.217667i
\(92\) −5.53808 + 3.19741i −0.577384 + 0.333353i
\(93\) −7.93317 2.14768i −0.822631 0.222704i
\(94\) −0.0993182 + 0.0573414i −0.0102439 + 0.00591431i
\(95\) −5.73160 + 3.30914i −0.588050 + 0.339511i
\(96\) 1.67187 + 0.452611i 0.170634 + 0.0461944i
\(97\) 1.39248 0.803947i 0.141385 0.0816284i −0.427639 0.903950i \(-0.640655\pi\)
0.569024 + 0.822321i \(0.307321\pi\)
\(98\) 5.56417 + 4.24735i 0.562066 + 0.429047i
\(99\) −0.623280 0.00322214i −0.0626420 0.000323837i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −6.10803 −0.607772 −0.303886 0.952708i \(-0.598284\pi\)
−0.303886 + 0.952708i \(0.598284\pi\)
\(102\) −2.27524 0.615955i −0.225282 0.0609886i
\(103\) 6.61641i 0.651934i 0.945381 + 0.325967i \(0.105690\pi\)
−0.945381 + 0.325967i \(0.894310\pi\)
\(104\) −0.707642 + 1.22567i −0.0693900 + 0.120187i
\(105\) 3.01693 + 3.44937i 0.294422 + 0.336624i
\(106\) −4.85267 8.40507i −0.471333 0.816372i
\(107\) −4.64917 + 2.68420i −0.449452 + 0.259491i −0.707599 0.706614i \(-0.750222\pi\)
0.258147 + 0.966106i \(0.416888\pi\)
\(108\) 5.00852 + 1.38374i 0.481945 + 0.133151i
\(109\) 9.12274 15.8011i 0.873800 1.51347i 0.0157652 0.999876i \(-0.494982\pi\)
0.858035 0.513591i \(-0.171685\pi\)
\(110\) 0.103881 0.179928i 0.00990470 0.0171554i
\(111\) 1.20294 4.44346i 0.114178 0.421755i
\(112\) −1.46713 + 2.20171i −0.138631 + 0.208042i
\(113\) −3.64375 2.10372i −0.342775 0.197901i 0.318723 0.947848i \(-0.396746\pi\)
−0.661498 + 0.749947i \(0.730079\pi\)
\(114\) −8.08473 8.12663i −0.757204 0.761129i
\(115\) 6.39482i 0.596320i
\(116\) 6.11758 + 3.53199i 0.568003 + 0.327937i
\(117\) −2.14191 + 3.66599i −0.198019 + 0.338921i
\(118\) 8.68947i 0.799930i
\(119\) 1.99661 2.99629i 0.183029 0.274670i
\(120\) −1.22791 + 1.22158i −0.112092 + 0.111514i
\(121\) 10.9568 0.996076
\(122\) −1.06869 1.85102i −0.0967546 0.167584i
\(123\) 4.72940 1.25414i 0.426435 0.113082i
\(124\) 4.10937 + 2.37255i 0.369032 + 0.213061i
\(125\) −1.00000 −0.0894427
\(126\) −4.43549 + 6.58228i −0.395145 + 0.586396i
\(127\) −14.9591 −1.32741 −0.663704 0.747995i \(-0.731017\pi\)
−0.663704 + 0.747995i \(0.731017\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) 0.966078 3.56853i 0.0850584 0.314192i
\(130\) −0.707642 1.22567i −0.0620643 0.107499i
\(131\) −16.7931 −1.46722 −0.733609 0.679572i \(-0.762166\pi\)
−0.733609 + 0.679572i \(0.762166\pi\)
\(132\) 0.347352 + 0.0940356i 0.0302331 + 0.00818475i
\(133\) 15.6948 7.76436i 1.36091 0.673255i
\(134\) 0.0470446i 0.00406403i
\(135\) −3.70262 + 3.64563i −0.318670 + 0.313766i
\(136\) 1.17857 + 0.680447i 0.101061 + 0.0583478i
\(137\) 3.39189i 0.289789i −0.989447 0.144894i \(-0.953716\pi\)
0.989447 0.144894i \(-0.0462842\pi\)
\(138\) 10.7061 2.83906i 0.911365 0.241676i
\(139\) 5.07662 + 2.93099i 0.430593 + 0.248603i 0.699599 0.714535i \(-0.253362\pi\)
−0.269006 + 0.963138i \(0.586695\pi\)
\(140\) −1.17317 2.37143i −0.0991508 0.200422i
\(141\) 0.192000 0.0509148i 0.0161693 0.00428780i
\(142\) −1.72769 + 2.99245i −0.144985 + 0.251121i
\(143\) −0.147022 + 0.254649i −0.0122946 + 0.0212948i
\(144\) −2.59029 1.51341i −0.215857 0.126118i
\(145\) −6.11758 + 3.53199i −0.508038 + 0.293316i
\(146\) −6.68529 11.5793i −0.553279 0.958307i
\(147\) −7.38016 9.61942i −0.608706 0.793396i
\(148\) −1.32889 + 2.30171i −0.109234 + 0.189199i
\(149\) 22.3632i 1.83207i 0.401104 + 0.916033i \(0.368627\pi\)
−0.401104 + 0.916033i \(0.631373\pi\)
\(150\) −0.443962 1.67419i −0.0362493 0.136697i
\(151\) 12.6238 1.02731 0.513656 0.857996i \(-0.328291\pi\)
0.513656 + 0.857996i \(0.328291\pi\)
\(152\) 3.30914 + 5.73160i 0.268407 + 0.464894i
\(153\) 3.52511 + 2.05959i 0.284988 + 0.166508i
\(154\) −0.304816 + 0.457433i −0.0245627 + 0.0368610i
\(155\) −4.10937 + 2.37255i −0.330072 + 0.190567i
\(156\) 1.73784 1.72888i 0.139138 0.138421i
\(157\) −5.02485 + 2.90110i −0.401027 + 0.231533i −0.686927 0.726727i \(-0.741041\pi\)
0.285900 + 0.958259i \(0.407707\pi\)
\(158\) −13.8158 + 7.97657i −1.09913 + 0.634582i
\(159\) 4.30880 + 16.2485i 0.341710 + 1.28859i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) −1.08534 + 16.8843i −0.0855365 + 1.33067i
\(162\) −7.74729 4.58034i −0.608684 0.359866i
\(163\) 8.98690 + 15.5658i 0.703908 + 1.21920i 0.967084 + 0.254457i \(0.0818967\pi\)
−0.263176 + 0.964748i \(0.584770\pi\)
\(164\) −2.82489 −0.220587
\(165\) −0.255113 + 0.253798i −0.0198605 + 0.0197581i
\(166\) 16.1203i 1.25118i
\(167\) −5.00537 + 8.66956i −0.387327 + 0.670870i −0.992089 0.125536i \(-0.959935\pi\)
0.604762 + 0.796406i \(0.293268\pi\)
\(168\) 3.44937 3.01693i 0.266125 0.232761i
\(169\) −5.49849 9.52366i −0.422960 0.732589i
\(170\) −1.17857 + 0.680447i −0.0903921 + 0.0521879i
\(171\) 9.83840 + 17.2459i 0.752361 + 1.31883i
\(172\) −1.06723 + 1.84849i −0.0813754 + 0.140946i
\(173\) 3.60215 6.23910i 0.273866 0.474350i −0.695982 0.718059i \(-0.745031\pi\)
0.969848 + 0.243709i \(0.0783642\pi\)
\(174\) −8.62918 8.67390i −0.654176 0.657567i
\(175\) 2.64030 + 0.169721i 0.199588 + 0.0128297i
\(176\) −0.179928 0.103881i −0.0135626 0.00783035i
\(177\) 3.93295 14.5276i 0.295618 1.09196i
\(178\) 2.81953i 0.211333i
\(179\) 12.7104 + 7.33833i 0.950016 + 0.548492i 0.893086 0.449886i \(-0.148535\pi\)
0.0569303 + 0.998378i \(0.481869\pi\)
\(180\) 2.60580 1.48655i 0.194225 0.110801i
\(181\) 20.6504i 1.53493i −0.641090 0.767465i \(-0.721518\pi\)
0.641090 0.767465i \(-0.278482\pi\)
\(182\) 1.66037 + 3.35625i 0.123075 + 0.248782i
\(183\) 0.948914 + 3.57837i 0.0701458 + 0.264521i
\(184\) −6.39482 −0.471432
\(185\) −1.32889 2.30171i −0.0977020 0.169225i
\(186\) −5.79648 5.82653i −0.425019 0.427222i
\(187\) 0.244863 + 0.141371i 0.0179061 + 0.0103381i
\(188\) −0.114683 −0.00836410
\(189\) 10.3948 8.99716i 0.756108 0.654447i
\(190\) −6.61828 −0.480141
\(191\) −19.0114 10.9763i −1.37562 0.794214i −0.383990 0.923337i \(-0.625450\pi\)
−0.991629 + 0.129124i \(0.958784\pi\)
\(192\) 1.22158 + 1.22791i 0.0881596 + 0.0886165i
\(193\) −10.3050 17.8488i −0.741772 1.28479i −0.951688 0.307068i \(-0.900652\pi\)
0.209915 0.977720i \(-0.432681\pi\)
\(194\) 1.60789 0.115440
\(195\) 0.628332 + 2.36945i 0.0449958 + 0.169680i
\(196\) 2.69504 + 6.46040i 0.192503 + 0.461457i
\(197\) 9.49837i 0.676731i −0.941015 0.338365i \(-0.890126\pi\)
0.941015 0.338365i \(-0.109874\pi\)
\(198\) −0.538165 0.314430i −0.0382457 0.0223456i
\(199\) 1.57005 + 0.906467i 0.111298 + 0.0642578i 0.554616 0.832107i \(-0.312865\pi\)
−0.443318 + 0.896365i \(0.646199\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −0.0212929 + 0.0786524i −0.00150188 + 0.00554771i
\(202\) −5.28971 3.05401i −0.372183 0.214880i
\(203\) 16.7517 8.28723i 1.17574 0.581650i
\(204\) −1.66243 1.67105i −0.116394 0.116997i
\(205\) 1.41245 2.44643i 0.0986496 0.170866i
\(206\) −3.30820 + 5.72998i −0.230493 + 0.399226i
\(207\) −19.1842 0.0991757i −1.33339 0.00689319i
\(208\) −1.22567 + 0.707642i −0.0849851 + 0.0490661i
\(209\) 0.687516 + 1.19081i 0.0475565 + 0.0823702i
\(210\) 0.888048 + 4.49571i 0.0612812 + 0.310233i
\(211\) 11.3768 19.7053i 0.783214 1.35657i −0.146847 0.989159i \(-0.546912\pi\)
0.930060 0.367407i \(-0.119754\pi\)
\(212\) 9.70533i 0.666565i
\(213\) 4.24289 4.22102i 0.290718 0.289219i
\(214\) −5.36840 −0.366976
\(215\) −1.06723 1.84849i −0.0727844 0.126066i
\(216\) 3.64563 + 3.70262i 0.248054 + 0.251931i
\(217\) 11.2526 5.56679i 0.763879 0.377898i
\(218\) 15.8011 9.12274i 1.07018 0.617870i
\(219\) 5.93603 + 22.3848i 0.401120 + 1.51263i
\(220\) 0.179928 0.103881i 0.0121307 0.00700368i
\(221\) 1.66801 0.963026i 0.112202 0.0647801i
\(222\) 3.26351 3.24668i 0.219032 0.217903i
\(223\) −8.80329 + 5.08258i −0.589512 + 0.340355i −0.764904 0.644144i \(-0.777214\pi\)
0.175393 + 0.984499i \(0.443881\pi\)
\(224\) −2.37143 + 1.17317i −0.158448 + 0.0783856i
\(225\) −0.0155088 + 2.99996i −0.00103392 + 0.199997i
\(226\) −2.10372 3.64375i −0.139937 0.242379i
\(227\) 17.1927 1.14112 0.570560 0.821256i \(-0.306726\pi\)
0.570560 + 0.821256i \(0.306726\pi\)
\(228\) −2.93826 11.0802i −0.194591 0.733806i
\(229\) 3.59285i 0.237423i 0.992929 + 0.118711i \(0.0378763\pi\)
−0.992929 + 0.118711i \(0.962124\pi\)
\(230\) 3.19741 5.53808i 0.210831 0.365170i
\(231\) 0.716650 0.626804i 0.0471521 0.0412407i
\(232\) 3.53199 + 6.11758i 0.231886 + 0.401639i
\(233\) 18.4117 10.6300i 1.20619 0.696396i 0.244268 0.969708i \(-0.421452\pi\)
0.961926 + 0.273312i \(0.0881191\pi\)
\(234\) −3.68794 + 2.10389i −0.241088 + 0.137536i
\(235\) 0.0573414 0.0993182i 0.00374054 0.00647881i
\(236\) −4.34473 + 7.52530i −0.282818 + 0.489855i
\(237\) 26.7085 7.08258i 1.73490 0.460063i
\(238\) 3.22726 1.59656i 0.209192 0.103489i
\(239\) −4.18867 2.41833i −0.270943 0.156429i 0.358373 0.933578i \(-0.383331\pi\)
−0.629316 + 0.777150i \(0.716665\pi\)
\(240\) −1.67419 + 0.443962i −0.108068 + 0.0286576i
\(241\) 1.60992i 0.103704i 0.998655 + 0.0518522i \(0.0165125\pi\)
−0.998655 + 0.0518522i \(0.983488\pi\)
\(242\) 9.48890 + 5.47842i 0.609969 + 0.352166i
\(243\) 10.8793 + 11.1642i 0.697909 + 0.716186i
\(244\) 2.13738i 0.136832i
\(245\) −6.94239 0.896231i −0.443533 0.0572581i
\(246\) 4.72285 + 1.27858i 0.301118 + 0.0815191i
\(247\) 9.36675 0.595992
\(248\) 2.37255 + 4.10937i 0.150657 + 0.260945i
\(249\) −7.29623 + 26.9510i −0.462379 + 1.70795i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) 2.86313 0.180719 0.0903596 0.995909i \(-0.471198\pi\)
0.0903596 + 0.995909i \(0.471198\pi\)
\(252\) −7.13239 + 3.48268i −0.449298 + 0.219388i
\(253\) −1.32860 −0.0835287
\(254\) −12.9550 7.47957i −0.812869 0.469310i
\(255\) 2.27839 0.604185i 0.142678 0.0378355i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −31.4714 −1.96313 −0.981567 0.191118i \(-0.938789\pi\)
−0.981567 + 0.191118i \(0.938789\pi\)
\(258\) 2.62091 2.60740i 0.163171 0.162330i
\(259\) 3.11802 + 6.30274i 0.193745 + 0.391633i
\(260\) 1.41528i 0.0877722i
\(261\) 10.5009 + 18.4073i 0.649992 + 1.13938i
\(262\) −14.5432 8.39654i −0.898484 0.518740i
\(263\) 3.29302i 0.203056i 0.994833 + 0.101528i \(0.0323732\pi\)
−0.994833 + 0.101528i \(0.967627\pi\)
\(264\) 0.253798 + 0.255113i 0.0156202 + 0.0157011i
\(265\) 8.40507 + 4.85267i 0.516319 + 0.298097i
\(266\) 17.4743 + 1.12326i 1.07142 + 0.0688717i
\(267\) −1.27615 + 4.71388i −0.0780990 + 0.288485i
\(268\) 0.0235223 0.0407418i 0.00143685 0.00248870i
\(269\) 9.44456 16.3585i 0.575845 0.997393i −0.420104 0.907476i \(-0.638006\pi\)
0.995949 0.0899173i \(-0.0286603\pi\)
\(270\) −5.02938 + 1.30590i −0.306078 + 0.0794747i
\(271\) 2.78962 1.61059i 0.169457 0.0978362i −0.412873 0.910789i \(-0.635475\pi\)
0.582330 + 0.812953i \(0.302141\pi\)
\(272\) 0.680447 + 1.17857i 0.0412582 + 0.0714612i
\(273\) −1.25684 6.36270i −0.0760675 0.385088i
\(274\) 1.69594 2.93746i 0.102456 0.177459i
\(275\) 0.207763i 0.0125286i
\(276\) 10.6913 + 2.89436i 0.643540 + 0.174220i
\(277\) 0.118953 0.00714722 0.00357361 0.999994i \(-0.498862\pi\)
0.00357361 + 0.999994i \(0.498862\pi\)
\(278\) 2.93099 + 5.07662i 0.175789 + 0.304475i
\(279\) 7.05381 + 12.3647i 0.422301 + 0.740258i
\(280\) 0.169721 2.64030i 0.0101428 0.157788i
\(281\) −11.3489 + 6.55231i −0.677021 + 0.390878i −0.798732 0.601688i \(-0.794495\pi\)
0.121711 + 0.992566i \(0.461162\pi\)
\(282\) 0.191735 + 0.0519067i 0.0114176 + 0.00309100i
\(283\) −21.6963 + 12.5264i −1.28971 + 0.744617i −0.978603 0.205757i \(-0.934034\pi\)
−0.311111 + 0.950374i \(0.600701\pi\)
\(284\) −2.99245 + 1.72769i −0.177569 + 0.102520i
\(285\) 11.0649 + 2.99551i 0.655428 + 0.177438i
\(286\) −0.254649 + 0.147022i −0.0150577 + 0.00869357i
\(287\) −4.14450 + 6.21959i −0.244642 + 0.367131i
\(288\) −1.48655 2.60580i −0.0875957 0.153548i
\(289\) 7.57398 + 13.1185i 0.445528 + 0.771678i
\(290\) −7.06398 −0.414811
\(291\) −2.68819 0.727750i −0.157584 0.0426614i
\(292\) 13.3706i 0.782454i
\(293\) −0.727716 + 1.26044i −0.0425136 + 0.0736358i −0.886499 0.462730i \(-0.846870\pi\)
0.843986 + 0.536366i \(0.180203\pi\)
\(294\) −1.58170 12.0207i −0.0922465 0.701064i
\(295\) −4.34473 7.52530i −0.252960 0.438140i
\(296\) −2.30171 + 1.32889i −0.133784 + 0.0772402i
\(297\) 0.757426 + 0.769265i 0.0439503 + 0.0446373i
\(298\) −11.1816 + 19.3671i −0.647733 + 1.12191i
\(299\) −4.52524 + 7.83795i −0.261702 + 0.453280i
\(300\) 0.452611 1.67187i 0.0261315 0.0965254i
\(301\) 2.50408 + 5.06171i 0.144333 + 0.291752i
\(302\) 10.9325 + 6.31191i 0.629097 + 0.363209i
\(303\) 7.46142 + 7.50009i 0.428647 + 0.430869i
\(304\) 6.61828i 0.379585i
\(305\) 1.85102 + 1.06869i 0.105989 + 0.0611930i
\(306\) 2.02304 + 3.54621i 0.115649 + 0.202723i
\(307\) 0.302317i 0.0172541i 0.999963 + 0.00862706i \(0.00274611\pi\)
−0.999963 + 0.00862706i \(0.997254\pi\)
\(308\) −0.492694 + 0.243740i −0.0280739 + 0.0138884i
\(309\) 8.12433 8.08244i 0.462177 0.459794i
\(310\) −4.74509 −0.269503
\(311\) 0.158581 + 0.274670i 0.00899228 + 0.0155751i 0.870487 0.492192i \(-0.163804\pi\)
−0.861494 + 0.507767i \(0.830471\pi\)
\(312\) 2.36945 0.628332i 0.134144 0.0355723i
\(313\) −18.3001 10.5656i −1.03438 0.597201i −0.116146 0.993232i \(-0.537054\pi\)
−0.918237 + 0.396031i \(0.870387\pi\)
\(314\) −5.80220 −0.327437
\(315\) 0.550105 7.91817i 0.0309949 0.446138i
\(316\) −15.9531 −0.897434
\(317\) 8.81472 + 5.08918i 0.495084 + 0.285837i 0.726681 0.686975i \(-0.241062\pi\)
−0.231597 + 0.972812i \(0.574395\pi\)
\(318\) −4.39274 + 16.2260i −0.246333 + 0.909911i
\(319\) 0.733815 + 1.27101i 0.0410858 + 0.0711626i
\(320\) 1.00000 0.0559017
\(321\) 8.97526 + 2.42980i 0.500950 + 0.135618i
\(322\) −9.38206 + 14.0795i −0.522842 + 0.784621i
\(323\) 9.00678i 0.501151i
\(324\) −4.41917 7.84034i −0.245510 0.435574i
\(325\) 1.22567 + 0.707642i 0.0679880 + 0.0392529i
\(326\) 17.9738i 0.995476i
\(327\) −30.5463 + 8.10030i −1.68922 + 0.447948i
\(328\) −2.44643 1.41245i −0.135081 0.0779893i
\(329\) −0.168255 + 0.252498i −0.00927620 + 0.0139207i
\(330\) −0.347833 + 0.0922387i −0.0191476 + 0.00507757i
\(331\) 11.0901 19.2086i 0.609566 1.05580i −0.381746 0.924267i \(-0.624677\pi\)
0.991312 0.131531i \(-0.0419894\pi\)
\(332\) 8.06016 13.9606i 0.442359 0.766187i
\(333\) −6.92564 + 3.95092i −0.379522 + 0.216509i
\(334\) −8.66956 + 5.00537i −0.474377 + 0.273882i
\(335\) 0.0235223 + 0.0407418i 0.00128516 + 0.00222596i
\(336\) 4.49571 0.888048i 0.245261 0.0484470i
\(337\) −13.9347 + 24.1356i −0.759070 + 1.31475i 0.184256 + 0.982878i \(0.441013\pi\)
−0.943325 + 0.331869i \(0.892321\pi\)
\(338\) 10.9970i 0.598156i
\(339\) 1.86794 + 7.04403i 0.101453 + 0.382579i
\(340\) −1.36089 −0.0738048
\(341\) 0.492926 + 0.853773i 0.0266935 + 0.0462344i
\(342\) −0.102641 + 19.8546i −0.00555021 + 1.07361i
\(343\) 18.1779 + 3.54459i 0.981514 + 0.191390i
\(344\) −1.84849 + 1.06723i −0.0996641 + 0.0575411i
\(345\) −7.85224 + 7.81175i −0.422750 + 0.420571i
\(346\) 6.23910 3.60215i 0.335416 0.193653i
\(347\) 7.70036 4.44581i 0.413377 0.238663i −0.278863 0.960331i \(-0.589957\pi\)
0.692240 + 0.721668i \(0.256624\pi\)
\(348\) −3.13614 11.8264i −0.168115 0.633962i
\(349\) −22.9898 + 13.2732i −1.23062 + 0.710497i −0.967159 0.254173i \(-0.918197\pi\)
−0.263459 + 0.964671i \(0.584863\pi\)
\(350\) 2.20171 + 1.46713i 0.117686 + 0.0784216i
\(351\) 7.11800 1.84822i 0.379930 0.0986509i
\(352\) −0.103881 0.179928i −0.00553689 0.00959018i
\(353\) 29.8048 1.58635 0.793175 0.608994i \(-0.208427\pi\)
0.793175 + 0.608994i \(0.208427\pi\)
\(354\) 10.6699 10.6148i 0.567096 0.564172i
\(355\) 3.45539i 0.183393i
\(356\) 1.40976 2.44178i 0.0747173 0.129414i
\(357\) −6.11818 + 1.20854i −0.323808 + 0.0639627i
\(358\) 7.33833 + 12.7104i 0.387843 + 0.671763i
\(359\) 14.6722 8.47101i 0.774370 0.447083i −0.0600612 0.998195i \(-0.519130\pi\)
0.834431 + 0.551112i \(0.185796\pi\)
\(360\) 2.99996 + 0.0155088i 0.158112 + 0.000817383i
\(361\) 12.4008 21.4789i 0.652675 1.13047i
\(362\) 10.3252 17.8838i 0.542680 0.939949i
\(363\) −13.3846 13.4540i −0.702509 0.706150i
\(364\) −0.240204 + 3.73678i −0.0125901 + 0.195860i
\(365\) 11.5793 + 6.68529i 0.606086 + 0.349924i
\(366\) −0.967400 + 3.57341i −0.0505668 + 0.186785i
\(367\) 21.0437i 1.09847i 0.835667 + 0.549236i \(0.185081\pi\)
−0.835667 + 0.549236i \(0.814919\pi\)
\(368\) −5.53808 3.19741i −0.288692 0.166677i
\(369\) −7.31728 4.27522i −0.380923 0.222559i
\(370\) 2.65778i 0.138171i
\(371\) −21.3683 14.2390i −1.10939 0.739253i
\(372\) −2.10664 7.94416i −0.109224 0.411886i
\(373\) −11.2313 −0.581535 −0.290768 0.956794i \(-0.593911\pi\)
−0.290768 + 0.956794i \(0.593911\pi\)
\(374\) 0.141371 + 0.244863i 0.00731014 + 0.0126615i
\(375\) 1.22158 + 1.22791i 0.0630819 + 0.0634088i
\(376\) −0.0993182 0.0573414i −0.00512195 0.00295716i
\(377\) 9.99753 0.514899
\(378\) 13.5007 2.59439i 0.694402 0.133441i
\(379\) 2.41836 0.124223 0.0621113 0.998069i \(-0.480217\pi\)
0.0621113 + 0.998069i \(0.480217\pi\)
\(380\) −5.73160 3.30914i −0.294025 0.169755i
\(381\) 18.2737 + 18.3684i 0.936191 + 0.941043i
\(382\) −10.9763 19.0114i −0.561594 0.972709i
\(383\) −17.5017 −0.894293 −0.447146 0.894461i \(-0.647560\pi\)
−0.447146 + 0.894461i \(0.647560\pi\)
\(384\) 0.443962 + 1.67419i 0.0226558 + 0.0854354i
\(385\) 0.0352617 0.548556i 0.00179710 0.0279570i
\(386\) 20.6101i 1.04902i
\(387\) −5.56196 + 3.17297i −0.282730 + 0.161291i
\(388\) 1.39248 + 0.803947i 0.0706923 + 0.0408142i
\(389\) 6.70962i 0.340191i 0.985428 + 0.170096i \(0.0544076\pi\)
−0.985428 + 0.170096i \(0.945592\pi\)
\(390\) −0.640573 + 2.36617i −0.0324367 + 0.119816i
\(391\) 7.53673 + 4.35134i 0.381149 + 0.220057i
\(392\) −0.896231 + 6.94239i −0.0452665 + 0.350644i
\(393\) 20.5140 + 20.6203i 1.03479 + 1.04016i
\(394\) 4.74918 8.22583i 0.239260 0.414411i
\(395\) 7.97657 13.8158i 0.401345 0.695149i
\(396\) −0.308849 0.541387i −0.0155203 0.0272057i
\(397\) 6.02981 3.48131i 0.302628 0.174722i −0.340995 0.940065i \(-0.610764\pi\)
0.643623 + 0.765343i \(0.277431\pi\)
\(398\) 0.906467 + 1.57005i 0.0454371 + 0.0786994i
\(399\) −28.7063 9.78699i −1.43711 0.489962i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 11.5760i 0.578076i −0.957318 0.289038i \(-0.906665\pi\)
0.957318 0.289038i \(-0.0933354\pi\)
\(402\) −0.0577664 + 0.0574685i −0.00288112 + 0.00286627i
\(403\) 6.71565 0.334530
\(404\) −3.05401 5.28971i −0.151943 0.263173i
\(405\) 8.99952 + 0.0930513i 0.447190 + 0.00462376i
\(406\) 18.6510 + 1.19891i 0.925635 + 0.0595008i
\(407\) −0.478209 + 0.276094i −0.0237039 + 0.0136855i
\(408\) −0.604185 2.27839i −0.0299116 0.112797i
\(409\) −31.4609 + 18.1640i −1.55564 + 0.898151i −0.557979 + 0.829855i \(0.688423\pi\)
−0.997665 + 0.0682960i \(0.978244\pi\)
\(410\) 2.44643 1.41245i 0.120821 0.0697558i
\(411\) −4.16492 + 4.14345i −0.205440 + 0.204381i
\(412\) −5.72998 + 3.30820i −0.282296 + 0.162983i
\(413\) 10.1942 + 20.6065i 0.501624 + 1.01398i
\(414\) −16.5644 9.67799i −0.814097 0.475647i
\(415\) 8.06016 + 13.9606i 0.395657 + 0.685299i
\(416\) −1.41528 −0.0693900
\(417\) −2.60249 9.81403i −0.127445 0.480595i
\(418\) 1.37503i 0.0672550i
\(419\) 16.0393 27.7808i 0.783570 1.35718i −0.146280 0.989243i \(-0.546730\pi\)
0.929850 0.367939i \(-0.119937\pi\)
\(420\) −1.47878 + 4.33742i −0.0721571 + 0.211644i
\(421\) −5.92162 10.2565i −0.288602 0.499873i 0.684874 0.728661i \(-0.259857\pi\)
−0.973476 + 0.228788i \(0.926524\pi\)
\(422\) 19.7053 11.3768i 0.959237 0.553816i
\(423\) −0.297061 0.173562i −0.0144436 0.00843888i
\(424\) 4.85267 8.40507i 0.235666 0.408186i
\(425\) 0.680447 1.17857i 0.0330065 0.0571690i
\(426\) 5.78496 1.53406i 0.280282 0.0743254i
\(427\) −4.70588 3.13582i −0.227734 0.151753i
\(428\) −4.64917 2.68420i −0.224726 0.129746i
\(429\) 0.492283 0.130544i 0.0237676 0.00630272i
\(430\) 2.13446i 0.102933i
\(431\) 28.2466 + 16.3082i 1.36059 + 0.785538i 0.989703 0.143139i \(-0.0457195\pi\)
0.370890 + 0.928677i \(0.379053\pi\)
\(432\) 1.30590 + 5.02938i 0.0628303 + 0.241976i
\(433\) 1.82172i 0.0875462i −0.999041 0.0437731i \(-0.986062\pi\)
0.999041 0.0437731i \(-0.0139379\pi\)
\(434\) 12.5285 + 0.805343i 0.601386 + 0.0386577i
\(435\) 11.8100 + 3.19723i 0.566248 + 0.153296i
\(436\) 18.2455 0.873800
\(437\) 21.1614 + 36.6526i 1.01229 + 1.75333i
\(438\) −6.05167 + 22.3539i −0.289160 + 1.06811i
\(439\) 20.6763 + 11.9375i 0.986825 + 0.569744i 0.904324 0.426847i \(-0.140376\pi\)
0.0825012 + 0.996591i \(0.473709\pi\)
\(440\) 0.207763 0.00990470
\(441\) −2.79632 + 20.8130i −0.133158 + 0.991095i
\(442\) 1.92605 0.0916129
\(443\) −20.4555 11.8100i −0.971868 0.561109i −0.0720631 0.997400i \(-0.522958\pi\)
−0.899805 + 0.436292i \(0.856292\pi\)
\(444\) 4.44962 1.17995i 0.211170 0.0559981i
\(445\) 1.40976 + 2.44178i 0.0668292 + 0.115752i
\(446\) −10.1652 −0.481334
\(447\) 27.4599 27.3183i 1.29881 1.29211i
\(448\) −2.64030 0.169721i −0.124743 0.00801858i
\(449\) 33.6640i 1.58870i −0.607459 0.794351i \(-0.707811\pi\)
0.607459 0.794351i \(-0.292189\pi\)
\(450\) −1.51341 + 2.59029i −0.0713429 + 0.122107i
\(451\) −0.508277 0.293454i −0.0239338 0.0138182i
\(452\) 4.20744i 0.197901i
\(453\) −15.4209 15.5009i −0.724539 0.728294i
\(454\) 14.8893 + 8.59635i 0.698790 + 0.403447i
\(455\) −3.11604 2.07641i −0.146082 0.0973437i
\(456\) 2.99551 11.0649i 0.140277 0.518161i
\(457\) −9.09952 + 15.7608i −0.425658 + 0.737261i −0.996482 0.0838116i \(-0.973291\pi\)
0.570824 + 0.821073i \(0.306624\pi\)
\(458\) −1.79643 + 3.11150i −0.0839415 + 0.145391i
\(459\) −1.77720 6.84445i −0.0829524 0.319471i
\(460\) 5.53808 3.19741i 0.258214 0.149080i
\(461\) −7.33169 12.6989i −0.341471 0.591445i 0.643235 0.765669i \(-0.277592\pi\)
−0.984706 + 0.174224i \(0.944258\pi\)
\(462\) 0.934040 0.184503i 0.0434555 0.00858387i
\(463\) −3.20796 + 5.55635i −0.149087 + 0.258226i −0.930890 0.365299i \(-0.880967\pi\)
0.781804 + 0.623525i \(0.214300\pi\)
\(464\) 7.06398i 0.327937i
\(465\) 7.93317 + 2.14768i 0.367892 + 0.0995962i
\(466\) 21.2600 0.984853
\(467\) −13.0712 22.6399i −0.604862 1.04765i −0.992073 0.125660i \(-0.959895\pi\)
0.387212 0.921991i \(-0.373438\pi\)
\(468\) −4.24580 0.0219493i −0.196262 0.00101461i
\(469\) −0.0551912 0.111563i −0.00254849 0.00515150i
\(470\) 0.0993182 0.0573414i 0.00458121 0.00264496i
\(471\) 9.70051 + 2.62614i 0.446976 + 0.121006i
\(472\) −7.52530 + 4.34473i −0.346380 + 0.199983i
\(473\) −0.384048 + 0.221730i −0.0176585 + 0.0101952i
\(474\) 26.6715 + 7.22056i 1.22506 + 0.331651i
\(475\) 5.73160 3.30914i 0.262984 0.151834i
\(476\) 3.59317 + 0.230973i 0.164693 + 0.0105866i
\(477\) 14.6882 25.1396i 0.672525 1.15106i
\(478\) −2.41833 4.18867i −0.110612 0.191585i
\(479\) 33.7251 1.54094 0.770470 0.637476i \(-0.220021\pi\)
0.770470 + 0.637476i \(0.220021\pi\)
\(480\) −1.67187 0.452611i −0.0763100 0.0206588i
\(481\) 3.76152i 0.171510i
\(482\) −0.804962 + 1.39424i −0.0366650 + 0.0635057i
\(483\) 22.0581 19.2927i 1.00368 0.877848i
\(484\) 5.47842 + 9.48890i 0.249019 + 0.431314i
\(485\) −1.39248 + 0.803947i −0.0632291 + 0.0365053i
\(486\) 3.83966 + 15.1082i 0.174170 + 0.685321i
\(487\) 3.38529 5.86349i 0.153402 0.265700i −0.779074 0.626932i \(-0.784310\pi\)
0.932476 + 0.361232i \(0.117644\pi\)
\(488\) 1.06869 1.85102i 0.0483773 0.0837919i
\(489\) 8.13513 30.0498i 0.367883 1.35890i
\(490\) −5.56417 4.24735i −0.251364 0.191876i
\(491\) −7.86871 4.54300i −0.355110 0.205023i 0.311824 0.950140i \(-0.399060\pi\)
−0.666934 + 0.745117i \(0.732393\pi\)
\(492\) 3.45082 + 3.46870i 0.155575 + 0.156381i
\(493\) 9.61332i 0.432962i
\(494\) 8.11184 + 4.68338i 0.364969 + 0.210715i
\(495\) 0.623280 + 0.00322214i 0.0280143 + 0.000144824i
\(496\) 4.74509i 0.213061i
\(497\) −0.586453 + 9.12327i −0.0263060 + 0.409234i
\(498\) −19.7942 + 19.6922i −0.887001 + 0.882427i
\(499\) −42.0589 −1.88281 −0.941407 0.337274i \(-0.890495\pi\)
−0.941407 + 0.337274i \(0.890495\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) 16.7598 4.44439i 0.748774 0.198561i
\(502\) 2.47954 + 1.43157i 0.110667 + 0.0638939i
\(503\) −19.9162 −0.888021 −0.444011 0.896021i \(-0.646445\pi\)
−0.444011 + 0.896021i \(0.646445\pi\)
\(504\) −7.91817 0.550105i −0.352703 0.0245036i
\(505\) 6.10803 0.271804
\(506\) −1.15061 0.664302i −0.0511506 0.0295318i
\(507\) −4.97735 + 18.3855i −0.221052 + 0.816528i
\(508\) −7.47957 12.9550i −0.331852 0.574785i
\(509\) 24.0286 1.06505 0.532524 0.846415i \(-0.321244\pi\)
0.532524 + 0.846415i \(0.321244\pi\)
\(510\) 2.27524 + 0.615955i 0.100749 + 0.0272750i
\(511\) −29.4381 19.6164i −1.30227 0.867780i
\(512\) 1.00000i 0.0441942i
\(513\) 9.15800 33.1478i 0.404336 1.46351i
\(514\) −27.2551 15.7357i −1.20217 0.694073i
\(515\) 6.61641i 0.291554i
\(516\) 3.57348 0.947617i 0.157314 0.0417165i
\(517\) −0.0206346 0.0119134i −0.000907509 0.000523951i
\(518\) −0.451082 + 7.01735i −0.0198194 + 0.308324i
\(519\) −12.0613 + 3.19843i −0.529433 + 0.140395i
\(520\) 0.707642 1.22567i 0.0310322 0.0537493i
\(521\) −16.5020 + 28.5823i −0.722965 + 1.25221i 0.236841 + 0.971548i \(0.423888\pi\)
−0.959806 + 0.280663i \(0.909446\pi\)
\(522\) −0.109553 + 21.1916i −0.00479503 + 0.927533i
\(523\) −26.4518 + 15.2720i −1.15666 + 0.667797i −0.950501 0.310722i \(-0.899429\pi\)
−0.206157 + 0.978519i \(0.566096\pi\)
\(524\) −8.39654 14.5432i −0.366805 0.635324i
\(525\) −3.01693 3.44937i −0.131669 0.150543i
\(526\) −1.64651 + 2.85184i −0.0717912 + 0.124346i
\(527\) 6.45757i 0.281296i
\(528\) 0.0922387 + 0.347833i 0.00401417 + 0.0151375i
\(529\) −17.8937 −0.777988
\(530\) 4.85267 + 8.40507i 0.210786 + 0.365093i
\(531\) −22.6430 + 12.9173i −0.982622 + 0.560564i
\(532\) 14.5715 + 9.70991i 0.631756 + 0.420978i
\(533\) −3.46239 + 1.99901i −0.149973 + 0.0865869i
\(534\) −3.46212 + 3.44427i −0.149820 + 0.149048i
\(535\) 4.64917 2.68420i 0.201001 0.116048i
\(536\) 0.0407418 0.0235223i 0.00175978 0.00101601i
\(537\) −6.51587 24.5714i −0.281181 1.06034i
\(538\) 16.3585 9.44456i 0.705264 0.407184i
\(539\) −0.186203 + 1.44237i −0.00802034 + 0.0621272i
\(540\) −5.00852 1.38374i −0.215532 0.0595468i
\(541\) −14.4385 25.0082i −0.620760 1.07519i −0.989345 0.145593i \(-0.953491\pi\)
0.368585 0.929594i \(-0.379842\pi\)
\(542\) 3.22117 0.138361
\(543\) −25.3567 + 25.2260i −1.08816 + 1.08255i
\(544\) 1.36089i 0.0583478i
\(545\) −9.12274 + 15.8011i −0.390775 + 0.676843i
\(546\) 2.09289 6.13868i 0.0895676 0.262711i
\(547\) 14.0094 + 24.2650i 0.598999 + 1.03750i 0.992969 + 0.118374i \(0.0377681\pi\)
−0.393970 + 0.919123i \(0.628899\pi\)
\(548\) 2.93746 1.69594i 0.125482 0.0724472i
\(549\) 3.23473 5.53642i 0.138055 0.236289i
\(550\) −0.103881 + 0.179928i −0.00442951 + 0.00767214i
\(551\) 23.3757 40.4879i 0.995838 1.72484i
\(552\) 7.81175 + 7.85224i 0.332490 + 0.334214i
\(553\) −23.4054 + 35.1242i −0.995298 + 1.49363i
\(554\) 0.103017 + 0.0594767i 0.00437676 + 0.00252692i
\(555\) −1.20294 + 4.44346i −0.0510620 + 0.188614i
\(556\) 5.86197i 0.248603i
\(557\) 8.62658 + 4.98056i 0.365520 + 0.211033i 0.671499 0.741005i \(-0.265651\pi\)
−0.305980 + 0.952038i \(0.598984\pi\)
\(558\) −0.0735905 + 14.2351i −0.00311533 + 0.602619i
\(559\) 3.02086i 0.127769i
\(560\) 1.46713 2.20171i 0.0619977 0.0930391i
\(561\) −0.125527 0.473364i −0.00529976 0.0199855i
\(562\) −13.1046 −0.552785
\(563\) −19.2619 33.3626i −0.811794 1.40607i −0.911608 0.411062i \(-0.865158\pi\)
0.0998141 0.995006i \(-0.468175\pi\)
\(564\) 0.140094 + 0.140820i 0.00589901 + 0.00592958i
\(565\) 3.64375 + 2.10372i 0.153294 + 0.0885041i
\(566\) −25.0528 −1.05305
\(567\) −23.7457 1.77309i −0.997224 0.0744629i
\(568\) −3.45539 −0.144985
\(569\) −13.3337 7.69820i −0.558977 0.322725i 0.193758 0.981049i \(-0.437932\pi\)
−0.752735 + 0.658324i \(0.771266\pi\)
\(570\) 8.08473 + 8.12663i 0.338632 + 0.340387i
\(571\) −2.32196 4.02175i −0.0971709 0.168305i 0.813342 0.581786i \(-0.197646\pi\)
−0.910513 + 0.413481i \(0.864313\pi\)
\(572\) −0.294043 −0.0122946
\(573\) 9.74607 + 36.7526i 0.407148 + 1.53536i
\(574\) −6.69903 + 3.31407i −0.279612 + 0.138327i
\(575\) 6.39482i 0.266682i
\(576\) 0.0155088 2.99996i 0.000646198 0.124998i
\(577\) −16.2075 9.35741i −0.674727 0.389554i 0.123138 0.992390i \(-0.460704\pi\)
−0.797865 + 0.602836i \(0.794037\pi\)
\(578\) 15.1480i 0.630072i
\(579\) −9.32834 + 34.4573i −0.387672 + 1.43200i
\(580\) −6.11758 3.53199i −0.254019 0.146658i
\(581\) −18.9118 38.2282i −0.784595 1.58597i
\(582\) −1.96416 1.97434i −0.0814172 0.0818391i
\(583\) 1.00820 1.74626i 0.0417555 0.0723226i
\(584\) 6.68529 11.5793i 0.276639 0.479153i
\(585\) 2.14191 3.66599i 0.0885569 0.151570i
\(586\) −1.26044 + 0.727716i −0.0520684 + 0.0300617i
\(587\) 5.45638 + 9.45073i 0.225209 + 0.390073i 0.956382 0.292119i \(-0.0943602\pi\)
−0.731173 + 0.682192i \(0.761027\pi\)
\(588\) 4.64058 11.2011i 0.191374 0.461926i
\(589\) 15.7022 27.1970i 0.646997 1.12063i
\(590\) 8.68947i 0.357740i
\(591\) −11.6631 + 11.6030i −0.479756 + 0.477282i
\(592\) −2.65778 −0.109234
\(593\) −9.60114 16.6297i −0.394272 0.682899i 0.598736 0.800946i \(-0.295670\pi\)
−0.993008 + 0.118048i \(0.962336\pi\)
\(594\) 0.271318 + 1.04492i 0.0111323 + 0.0428734i
\(595\) −1.99661 + 2.99629i −0.0818532 + 0.122836i
\(596\) −19.3671 + 11.1816i −0.793307 + 0.458016i
\(597\) −0.804874 3.03519i −0.0329413 0.124222i
\(598\) −7.83795 + 4.52524i −0.320518 + 0.185051i
\(599\) 18.9751 10.9553i 0.775301 0.447620i −0.0594613 0.998231i \(-0.518938\pi\)
0.834762 + 0.550610i \(0.185605\pi\)
\(600\) 1.22791 1.22158i 0.0501291 0.0498706i
\(601\) −38.2477 + 22.0823i −1.56016 + 0.900756i −0.562915 + 0.826515i \(0.690320\pi\)
−0.997240 + 0.0742412i \(0.976347\pi\)
\(602\) −0.362263 + 5.63561i −0.0147647 + 0.229690i
\(603\) 0.122589 0.0699341i 0.00499219 0.00284794i
\(604\) 6.31191 + 10.9325i 0.256828 + 0.444839i
\(605\) −10.9568 −0.445459
\(606\) 2.71173 + 10.2260i 0.110157 + 0.415402i
\(607\) 25.8388i 1.04876i 0.851483 + 0.524382i \(0.175704\pi\)
−0.851483 + 0.524382i \(0.824296\pi\)
\(608\) −3.30914 + 5.73160i −0.134203 + 0.232447i
\(609\) −30.6394 10.4461i −1.24157 0.423296i
\(610\) 1.06869 + 1.85102i 0.0432700 + 0.0749458i
\(611\) −0.140563 + 0.0811544i −0.00568659 + 0.00328315i
\(612\) −0.0211058 + 4.08263i −0.000853150 + 0.165030i
\(613\) 20.3696 35.2812i 0.822720 1.42499i −0.0809298 0.996720i \(-0.525789\pi\)
0.903650 0.428273i \(-0.140878\pi\)
\(614\) −0.151158 + 0.261814i −0.00610025 + 0.0105659i
\(615\) −4.72940 + 1.25414i −0.190708 + 0.0505720i
\(616\) −0.548556 0.0352617i −0.0221020 0.00142074i
\(617\) 18.7258 + 10.8114i 0.753874 + 0.435249i 0.827092 0.562067i \(-0.189994\pi\)
−0.0732181 + 0.997316i \(0.523327\pi\)
\(618\) 11.0771 2.93743i 0.445586 0.118161i
\(619\) 41.5576i 1.67034i −0.549992 0.835170i \(-0.685369\pi\)
0.549992 0.835170i \(-0.314631\pi\)
\(620\) −4.10937 2.37255i −0.165036 0.0952837i
\(621\) 23.3132 + 23.6776i 0.935525 + 0.950148i
\(622\) 0.317161i 0.0127170i
\(623\) −3.30778 6.68631i −0.132523 0.267881i
\(624\) 2.36617 + 0.640573i 0.0947226 + 0.0256434i
\(625\) 1.00000 0.0400000
\(626\) −10.5656 18.3001i −0.422285 0.731419i
\(627\) 0.622354 2.29887i 0.0248544 0.0918081i
\(628\) −5.02485 2.90110i −0.200513 0.115766i
\(629\) 3.61696 0.144218
\(630\) 4.43549 6.58228i 0.176714 0.262244i
\(631\) −24.7896 −0.986860 −0.493430 0.869785i \(-0.664257\pi\)
−0.493430 + 0.869785i \(0.664257\pi\)
\(632\) −13.8158 7.97657i −0.549564 0.317291i
\(633\) −38.0939 + 10.1018i −1.51410 + 0.401509i
\(634\) 5.08918 + 8.81472i 0.202117 + 0.350077i
\(635\) 14.9591 0.593635
\(636\) −11.9172 + 11.8558i −0.472549 + 0.470113i
\(637\) 7.87488 + 6.01121i 0.312014 + 0.238173i
\(638\) 1.46763i 0.0581040i
\(639\) −10.3660 0.0535888i −0.410074 0.00211994i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 35.4280i 1.39932i 0.714476 + 0.699660i \(0.246665\pi\)
−0.714476 + 0.699660i \(0.753335\pi\)
\(642\) 6.55790 + 6.59189i 0.258820 + 0.260161i
\(643\) −25.1223 14.5043i −0.990726 0.571996i −0.0852345 0.996361i \(-0.527164\pi\)
−0.905491 + 0.424365i \(0.860497\pi\)
\(644\) −15.1649 + 7.50220i −0.597579 + 0.295628i
\(645\) −0.966078 + 3.56853i −0.0380393 + 0.140511i
\(646\) 4.50339 7.80010i 0.177184 0.306891i
\(647\) 14.2851 24.7426i 0.561607 0.972731i −0.435750 0.900068i \(-0.643517\pi\)
0.997357 0.0726633i \(-0.0231498\pi\)
\(648\) 0.0930513 8.99952i 0.00365540 0.353534i
\(649\) −1.56348 + 0.902674i −0.0613718 + 0.0354330i
\(650\) 0.707642 + 1.22567i 0.0277560 + 0.0480748i
\(651\) −20.5815 7.01695i −0.806651 0.275016i
\(652\) −8.98690 + 15.5658i −0.351954 + 0.609602i
\(653\) 23.3202i 0.912588i 0.889829 + 0.456294i \(0.150823\pi\)
−0.889829 + 0.456294i \(0.849177\pi\)
\(654\) −30.5041 8.25810i −1.19280 0.322917i
\(655\) 16.7931 0.656160
\(656\) −1.41245 2.44643i −0.0551468 0.0955170i
\(657\) 20.2352 34.6336i 0.789450 1.35119i
\(658\) −0.271962 + 0.134542i −0.0106022 + 0.00524500i
\(659\) −41.6998 + 24.0754i −1.62440 + 0.937845i −0.638670 + 0.769481i \(0.720515\pi\)
−0.985725 + 0.168364i \(0.946151\pi\)
\(660\) −0.347352 0.0940356i −0.0135206 0.00366033i
\(661\) −37.5132 + 21.6582i −1.45909 + 0.842408i −0.998967 0.0454452i \(-0.985529\pi\)
−0.460127 + 0.887853i \(0.652196\pi\)
\(662\) 19.2086 11.0901i 0.746562 0.431028i
\(663\) −3.22010 0.871752i −0.125058 0.0338560i
\(664\) 13.9606 8.06016i 0.541776 0.312795i
\(665\) −15.6948 + 7.76436i −0.608618 + 0.301089i
\(666\) −7.97324 0.0412189i −0.308957 0.00159720i
\(667\) 22.5864 + 39.1208i 0.874550 + 1.51476i
\(668\) −10.0107 −0.387327
\(669\) 16.9948 + 4.60086i 0.657057 + 0.177880i
\(670\) 0.0470446i 0.00181749i
\(671\) 0.222034 0.384574i 0.00857151 0.0148463i
\(672\) 4.33742 + 1.47878i 0.167320 + 0.0570452i
\(673\) −10.7910 18.6906i −0.415964 0.720471i 0.579565 0.814926i \(-0.303222\pi\)
−0.995529 + 0.0944550i \(0.969889\pi\)
\(674\) −24.1356 + 13.9347i −0.929667 + 0.536743i
\(675\) 3.70262 3.64563i 0.142514 0.140320i
\(676\) 5.49849 9.52366i 0.211480 0.366294i
\(677\) 18.2704 31.6452i 0.702188 1.21623i −0.265509 0.964108i \(-0.585540\pi\)
0.967697 0.252117i \(-0.0811268\pi\)
\(678\) −1.90433 + 7.03428i −0.0731354 + 0.270150i
\(679\) 3.81301 1.88633i 0.146330 0.0723907i
\(680\) −1.17857 0.680447i −0.0451960 0.0260940i
\(681\) −21.0022 21.1110i −0.804805 0.808976i
\(682\) 0.985853i 0.0377502i
\(683\) 36.6115 + 21.1377i 1.40090 + 0.808811i 0.994485 0.104878i \(-0.0334451\pi\)
0.406416 + 0.913688i \(0.366778\pi\)
\(684\) −10.0162 + 17.1433i −0.382978 + 0.655489i
\(685\) 3.39189i 0.129597i
\(686\) 13.9702 + 12.1587i 0.533386 + 0.464220i
\(687\) 4.41169 4.38894i 0.168316 0.167449i
\(688\) −2.13446 −0.0813754
\(689\) −6.86790 11.8956i −0.261646 0.453185i
\(690\) −10.7061 + 2.83906i −0.407575 + 0.108081i
\(691\) −26.9067 15.5346i −1.02358 0.590964i −0.108441 0.994103i \(-0.534586\pi\)
−0.915139 + 0.403139i \(0.867919\pi\)
\(692\) 7.20429 0.273866
\(693\) −1.64510 0.114291i −0.0624922 0.00434156i
\(694\) 8.89161 0.337521
\(695\) −5.07662 2.93099i −0.192567 0.111179i
\(696\) 3.19723 11.8100i 0.121191 0.447658i
\(697\) 1.92219 + 3.32933i 0.0728081 + 0.126107i
\(698\) −26.5464 −1.00480
\(699\) −35.5440 9.62253i −1.34440 0.363957i
\(700\) 1.17317 + 2.37143i 0.0443416 + 0.0896316i
\(701\) 27.7518i 1.04817i 0.851666 + 0.524085i \(0.175593\pi\)
−0.851666 + 0.524085i \(0.824407\pi\)
\(702\) 7.08848 + 1.95839i 0.267537 + 0.0739146i
\(703\) 15.2333 + 8.79497i 0.574536 + 0.331709i
\(704\) 0.207763i 0.00783035i
\(705\) −0.192000 + 0.0509148i −0.00723115 + 0.00191756i
\(706\) 25.8117 + 14.9024i 0.971437 + 0.560859i
\(707\) −16.1270 1.03666i −0.606520 0.0389877i
\(708\) 14.5478 3.85779i 0.546739 0.144985i
\(709\) −7.10868 + 12.3126i −0.266972 + 0.462409i −0.968078 0.250648i \(-0.919356\pi\)
0.701106 + 0.713057i \(0.252690\pi\)
\(710\) 1.72769 2.99245i 0.0648392 0.112305i
\(711\) −41.3232 24.1437i −1.54974 0.905458i
\(712\) 2.44178 1.40976i 0.0915097 0.0528331i
\(713\) 15.1720 + 26.2787i 0.568196 + 0.984144i
\(714\) −5.90277 2.01246i −0.220906 0.0753146i
\(715\) 0.147022 0.254649i 0.00549830 0.00952333i
\(716\) 14.6767i 0.548492i
\(717\) 2.14729 + 8.09747i 0.0801921 + 0.302405i
\(718\) 16.9420 0.632271
\(719\) 21.6234 + 37.4528i 0.806415 + 1.39675i 0.915332 + 0.402701i \(0.131929\pi\)
−0.108916 + 0.994051i \(0.534738\pi\)
\(720\) 2.59029 + 1.51341i 0.0965343 + 0.0564015i
\(721\) −1.12294 + 17.4693i −0.0418207 + 0.650591i
\(722\) 21.4789 12.4008i 0.799361 0.461511i
\(723\) 1.97684 1.96664i 0.0735194 0.0731403i
\(724\) 17.8838 10.3252i 0.664645 0.383733i
\(725\) 6.11758 3.53199i 0.227201 0.131175i
\(726\) −4.86442 18.3438i −0.180535 0.680801i
\(727\) −2.32159 + 1.34037i −0.0861032 + 0.0497117i −0.542433 0.840099i \(-0.682497\pi\)
0.456330 + 0.889811i \(0.349164\pi\)
\(728\) −2.07641 + 3.11604i −0.0769569 + 0.115488i
\(729\) 0.418721 26.9968i 0.0155082 0.999880i
\(730\) 6.68529 + 11.5793i 0.247434 + 0.428568i
\(731\) 2.90477 0.107437
\(732\) −2.62450 + 2.61097i −0.0970043 + 0.0965041i
\(733\) 21.7022i 0.801588i −0.916168 0.400794i \(-0.868734\pi\)
0.916168 0.400794i \(-0.131266\pi\)
\(734\) −10.5218 + 18.2244i −0.388368 + 0.672674i
\(735\) 7.38016 + 9.61942i 0.272221 + 0.354818i
\(736\) −3.19741 5.53808i −0.117858 0.204136i
\(737\) 0.00846463 0.00488705i 0.000311799 0.000180017i
\(738\) −4.19934 7.36110i −0.154580 0.270966i
\(739\) −0.779082 + 1.34941i −0.0286590 + 0.0496389i −0.879999 0.474975i \(-0.842457\pi\)
0.851340 + 0.524614i \(0.175790\pi\)
\(740\) 1.32889 2.30171i 0.0488510 0.0846124i
\(741\) −11.4422 11.5015i −0.420339 0.422518i
\(742\) −11.3860 23.0155i −0.417993 0.844926i
\(743\) −5.56936 3.21547i −0.204320 0.117964i 0.394349 0.918961i \(-0.370970\pi\)
−0.598669 + 0.800997i \(0.704303\pi\)
\(744\) 2.14768 7.93317i 0.0787377 0.290844i
\(745\) 22.3632i 0.819324i
\(746\) −9.72660 5.61566i −0.356116 0.205604i
\(747\) 42.0062 23.9636i 1.53693 0.876783i
\(748\) 0.282743i 0.0103381i
\(749\) −12.7308 + 6.29804i −0.465173 + 0.230125i
\(750\) 0.443962 + 1.67419i 0.0162112 + 0.0611326i
\(751\) 54.6839 1.99544 0.997722 0.0674569i \(-0.0214885\pi\)
0.997722 + 0.0674569i \(0.0214885\pi\)
\(752\) −0.0573414 0.0993182i −0.00209103 0.00362176i
\(753\) −3.49753 3.51566i −0.127457 0.128118i
\(754\) 8.65812 + 4.99877i 0.315310 + 0.182044i
\(755\) −12.6238 −0.459427
\(756\) 12.9892 + 4.50355i 0.472411 + 0.163793i
\(757\) 6.88087 0.250089 0.125045 0.992151i \(-0.460093\pi\)
0.125045 + 0.992151i \(0.460093\pi\)
\(758\) 2.09436 + 1.20918i 0.0760705 + 0.0439193i
\(759\) 1.62299 + 1.63140i 0.0589108 + 0.0592161i
\(760\) −3.30914 5.73160i −0.120035 0.207907i
\(761\) −20.3654 −0.738246 −0.369123 0.929380i \(-0.620342\pi\)
−0.369123 + 0.929380i \(0.620342\pi\)
\(762\) 6.64129 + 25.0444i 0.240588 + 0.907262i
\(763\) 26.7686 40.1712i 0.969087 1.45430i
\(764\) 21.9525i 0.794214i
\(765\) −3.52511 2.05959i −0.127450 0.0744647i
\(766\)