Properties

Label 370.2.q.a.103.1
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(4\)
Coefficient field: \(\Q(\zeta_{12})\)
Defining polynomial: \( x^{4} - x^{2} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.1
Root \(-0.866025 - 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.a.97.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(0.133975 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.366025 - 0.366025i) q^{6} +(-0.732051 - 2.73205i) q^{7} +1.00000 q^{8} +(2.36603 - 1.36603i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(0.133975 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.366025 - 0.366025i) q^{6} +(-0.732051 - 2.73205i) q^{7} +1.00000 q^{8} +(2.36603 - 1.36603i) q^{9} +(2.00000 + 1.00000i) q^{10} +2.00000i q^{11} +(-0.500000 - 0.133975i) q^{12} +(2.23205 - 3.86603i) q^{13} +(-2.00000 + 2.00000i) q^{14} +(-0.866025 - 0.767949i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.63397 - 2.09808i) q^{17} +(-2.36603 - 1.36603i) q^{18} +(3.36603 - 0.901924i) q^{19} +(-0.133975 - 2.23205i) q^{20} +(1.26795 - 0.732051i) q^{21} +(1.73205 - 1.00000i) q^{22} +6.00000 q^{23} +(0.133975 + 0.500000i) q^{24} +(1.96410 - 4.59808i) q^{25} -4.46410 q^{26} +(2.09808 + 2.09808i) q^{27} +(2.73205 + 0.732051i) q^{28} +(-1.26795 + 1.26795i) q^{29} +(-0.232051 + 1.13397i) q^{30} +(-1.83013 - 1.83013i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-1.00000 + 0.267949i) q^{33} +(-3.63397 - 2.09808i) q^{34} +(4.73205 + 4.19615i) q^{35} +2.73205i q^{36} +(-5.50000 + 2.59808i) q^{37} +(-2.46410 - 2.46410i) q^{38} +(2.23205 + 0.598076i) q^{39} +(-1.86603 + 1.23205i) q^{40} +(-0.401924 - 0.232051i) q^{41} +(-1.26795 - 0.732051i) q^{42} -11.0000 q^{43} +(-1.73205 - 1.00000i) q^{44} +(-2.73205 + 5.46410i) q^{45} +(-3.00000 - 5.19615i) q^{46} +(4.19615 - 4.19615i) q^{47} +(0.366025 - 0.366025i) q^{48} +(-0.866025 + 0.500000i) q^{49} +(-4.96410 + 0.598076i) q^{50} +(1.53590 + 1.53590i) q^{51} +(2.23205 + 3.86603i) q^{52} +(3.13397 - 11.6962i) q^{53} +(0.767949 - 2.86603i) q^{54} +(-2.46410 - 3.73205i) q^{55} +(-0.732051 - 2.73205i) q^{56} +(0.901924 + 1.56218i) q^{57} +(1.73205 + 0.464102i) q^{58} +(-2.09808 + 7.83013i) q^{59} +(1.09808 - 0.366025i) q^{60} +(-6.46410 + 1.73205i) q^{61} +(-0.669873 + 2.50000i) q^{62} +(-5.46410 - 5.46410i) q^{63} +1.00000 q^{64} +(0.598076 + 9.96410i) q^{65} +(0.732051 + 0.732051i) q^{66} +(13.5622 - 3.63397i) q^{67} +4.19615i q^{68} +(0.803848 + 3.00000i) q^{69} +(1.26795 - 6.19615i) q^{70} +(-5.46410 + 9.46410i) q^{71} +(2.36603 - 1.36603i) q^{72} +(5.00000 + 3.46410i) q^{74} +(2.56218 + 0.366025i) q^{75} +(-0.901924 + 3.36603i) q^{76} +(5.46410 - 1.46410i) q^{77} +(-0.598076 - 2.23205i) q^{78} +(-6.83013 + 1.83013i) q^{79} +(2.00000 + 1.00000i) q^{80} +(3.33013 - 5.76795i) q^{81} +0.464102i q^{82} +(-3.43782 + 12.8301i) q^{83} +1.46410i q^{84} +(-4.19615 + 8.39230i) q^{85} +(5.50000 + 9.52628i) q^{86} +(-0.803848 - 0.464102i) q^{87} +2.00000i q^{88} +(12.5622 + 3.36603i) q^{89} +(6.09808 - 0.366025i) q^{90} +(-12.1962 - 3.26795i) q^{91} +(-3.00000 + 5.19615i) q^{92} +(0.669873 - 1.16025i) q^{93} +(-5.73205 - 1.53590i) q^{94} +(-5.16987 + 5.83013i) q^{95} +(-0.500000 - 0.133975i) q^{96} -5.46410i q^{97} +(0.866025 + 0.500000i) q^{98} +(2.73205 + 4.73205i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 4 q^{5} - 2 q^{6} + 4 q^{7} + 4 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 4 q^{5} - 2 q^{6} + 4 q^{7} + 4 q^{8} + 6 q^{9} + 8 q^{10} - 2 q^{12} + 2 q^{13} - 8 q^{14} - 2 q^{16} + 18 q^{17} - 6 q^{18} + 10 q^{19} - 4 q^{20} + 12 q^{21} + 24 q^{23} + 4 q^{24} - 6 q^{25} - 4 q^{26} - 2 q^{27} + 4 q^{28} - 12 q^{29} + 6 q^{30} + 10 q^{31} - 2 q^{32} - 4 q^{33} - 18 q^{34} + 12 q^{35} - 22 q^{37} + 4 q^{38} + 2 q^{39} - 4 q^{40} - 12 q^{41} - 12 q^{42} - 44 q^{43} - 4 q^{45} - 12 q^{46} - 4 q^{47} - 2 q^{48} - 6 q^{50} + 20 q^{51} + 2 q^{52} + 16 q^{53} + 10 q^{54} + 4 q^{55} + 4 q^{56} + 14 q^{57} + 2 q^{59} - 6 q^{60} - 12 q^{61} - 20 q^{62} - 8 q^{63} + 4 q^{64} - 8 q^{65} - 4 q^{66} + 30 q^{67} + 24 q^{69} + 12 q^{70} - 8 q^{71} + 6 q^{72} + 20 q^{74} - 14 q^{75} - 14 q^{76} + 8 q^{77} + 8 q^{78} - 10 q^{79} + 8 q^{80} - 4 q^{81} - 38 q^{83} + 4 q^{85} + 22 q^{86} - 24 q^{87} + 26 q^{89} + 14 q^{90} - 28 q^{91} - 12 q^{92} + 20 q^{93} - 16 q^{94} - 38 q^{95} - 2 q^{96} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 0.133975 + 0.500000i 0.0773503 + 0.288675i 0.993756 0.111576i \(-0.0355897\pi\)
−0.916406 + 0.400251i \(0.868923\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −1.86603 + 1.23205i −0.834512 + 0.550990i
\(6\) 0.366025 0.366025i 0.149429 0.149429i
\(7\) −0.732051 2.73205i −0.276689 1.03262i −0.954701 0.297567i \(-0.903825\pi\)
0.678012 0.735051i \(-0.262842\pi\)
\(8\) 1.00000 0.353553
\(9\) 2.36603 1.36603i 0.788675 0.455342i
\(10\) 2.00000 + 1.00000i 0.632456 + 0.316228i
\(11\) 2.00000i 0.603023i 0.953463 + 0.301511i \(0.0974911\pi\)
−0.953463 + 0.301511i \(0.902509\pi\)
\(12\) −0.500000 0.133975i −0.144338 0.0386751i
\(13\) 2.23205 3.86603i 0.619060 1.07224i −0.370598 0.928793i \(-0.620847\pi\)
0.989658 0.143449i \(-0.0458194\pi\)
\(14\) −2.00000 + 2.00000i −0.534522 + 0.534522i
\(15\) −0.866025 0.767949i −0.223607 0.198284i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.63397 2.09808i 0.881368 0.508858i 0.0102590 0.999947i \(-0.496734\pi\)
0.871109 + 0.491089i \(0.163401\pi\)
\(18\) −2.36603 1.36603i −0.557678 0.321975i
\(19\) 3.36603 0.901924i 0.772219 0.206916i 0.148868 0.988857i \(-0.452437\pi\)
0.623352 + 0.781942i \(0.285771\pi\)
\(20\) −0.133975 2.23205i −0.0299576 0.499102i
\(21\) 1.26795 0.732051i 0.276689 0.159747i
\(22\) 1.73205 1.00000i 0.369274 0.213201i
\(23\) 6.00000 1.25109 0.625543 0.780189i \(-0.284877\pi\)
0.625543 + 0.780189i \(0.284877\pi\)
\(24\) 0.133975 + 0.500000i 0.0273474 + 0.102062i
\(25\) 1.96410 4.59808i 0.392820 0.919615i
\(26\) −4.46410 −0.875482
\(27\) 2.09808 + 2.09808i 0.403775 + 0.403775i
\(28\) 2.73205 + 0.732051i 0.516309 + 0.138345i
\(29\) −1.26795 + 1.26795i −0.235452 + 0.235452i −0.814964 0.579512i \(-0.803243\pi\)
0.579512 + 0.814964i \(0.303243\pi\)
\(30\) −0.232051 + 1.13397i −0.0423665 + 0.207034i
\(31\) −1.83013 1.83013i −0.328701 0.328701i 0.523392 0.852092i \(-0.324666\pi\)
−0.852092 + 0.523392i \(0.824666\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −1.00000 + 0.267949i −0.174078 + 0.0466440i
\(34\) −3.63397 2.09808i −0.623222 0.359817i
\(35\) 4.73205 + 4.19615i 0.799863 + 0.709279i
\(36\) 2.73205i 0.455342i
\(37\) −5.50000 + 2.59808i −0.904194 + 0.427121i
\(38\) −2.46410 2.46410i −0.399730 0.399730i
\(39\) 2.23205 + 0.598076i 0.357414 + 0.0957688i
\(40\) −1.86603 + 1.23205i −0.295045 + 0.194804i
\(41\) −0.401924 0.232051i −0.0627700 0.0362402i 0.468287 0.883577i \(-0.344871\pi\)
−0.531057 + 0.847336i \(0.678205\pi\)
\(42\) −1.26795 0.732051i −0.195649 0.112958i
\(43\) −11.0000 −1.67748 −0.838742 0.544529i \(-0.816708\pi\)
−0.838742 + 0.544529i \(0.816708\pi\)
\(44\) −1.73205 1.00000i −0.261116 0.150756i
\(45\) −2.73205 + 5.46410i −0.407270 + 0.814540i
\(46\) −3.00000 5.19615i −0.442326 0.766131i
\(47\) 4.19615 4.19615i 0.612072 0.612072i −0.331414 0.943486i \(-0.607526\pi\)
0.943486 + 0.331414i \(0.107526\pi\)
\(48\) 0.366025 0.366025i 0.0528312 0.0528312i
\(49\) −0.866025 + 0.500000i −0.123718 + 0.0714286i
\(50\) −4.96410 + 0.598076i −0.702030 + 0.0845807i
\(51\) 1.53590 + 1.53590i 0.215069 + 0.215069i
\(52\) 2.23205 + 3.86603i 0.309530 + 0.536121i
\(53\) 3.13397 11.6962i 0.430485 1.60659i −0.321162 0.947024i \(-0.604073\pi\)
0.751647 0.659566i \(-0.229260\pi\)
\(54\) 0.767949 2.86603i 0.104505 0.390017i
\(55\) −2.46410 3.73205i −0.332259 0.503230i
\(56\) −0.732051 2.73205i −0.0978244 0.365086i
\(57\) 0.901924 + 1.56218i 0.119463 + 0.206916i
\(58\) 1.73205 + 0.464102i 0.227429 + 0.0609395i
\(59\) −2.09808 + 7.83013i −0.273146 + 1.01940i 0.683927 + 0.729550i \(0.260271\pi\)
−0.957073 + 0.289845i \(0.906396\pi\)
\(60\) 1.09808 0.366025i 0.141761 0.0472537i
\(61\) −6.46410 + 1.73205i −0.827643 + 0.221766i −0.647685 0.761908i \(-0.724263\pi\)
−0.179958 + 0.983674i \(0.557596\pi\)
\(62\) −0.669873 + 2.50000i −0.0850740 + 0.317500i
\(63\) −5.46410 5.46410i −0.688412 0.688412i
\(64\) 1.00000 0.125000
\(65\) 0.598076 + 9.96410i 0.0741822 + 1.23589i
\(66\) 0.732051 + 0.732051i 0.0901092 + 0.0901092i
\(67\) 13.5622 3.63397i 1.65688 0.443961i 0.695355 0.718666i \(-0.255247\pi\)
0.961528 + 0.274705i \(0.0885803\pi\)
\(68\) 4.19615i 0.508858i
\(69\) 0.803848 + 3.00000i 0.0967719 + 0.361158i
\(70\) 1.26795 6.19615i 0.151549 0.740582i
\(71\) −5.46410 + 9.46410i −0.648470 + 1.12318i 0.335019 + 0.942211i \(0.391257\pi\)
−0.983488 + 0.180971i \(0.942076\pi\)
\(72\) 2.36603 1.36603i 0.278839 0.160988i
\(73\) 0 0 −0.707107 0.707107i \(-0.750000\pi\)
0.707107 + 0.707107i \(0.250000\pi\)
\(74\) 5.00000 + 3.46410i 0.581238 + 0.402694i
\(75\) 2.56218 + 0.366025i 0.295855 + 0.0422650i
\(76\) −0.901924 + 3.36603i −0.103458 + 0.386110i
\(77\) 5.46410 1.46410i 0.622692 0.166850i
\(78\) −0.598076 2.23205i −0.0677188 0.252730i
\(79\) −6.83013 + 1.83013i −0.768449 + 0.205905i −0.621686 0.783266i \(-0.713552\pi\)
−0.146763 + 0.989172i \(0.546885\pi\)
\(80\) 2.00000 + 1.00000i 0.223607 + 0.111803i
\(81\) 3.33013 5.76795i 0.370014 0.640883i
\(82\) 0.464102i 0.0512514i
\(83\) −3.43782 + 12.8301i −0.377350 + 1.40829i 0.472531 + 0.881314i \(0.343341\pi\)
−0.849881 + 0.526975i \(0.823326\pi\)
\(84\) 1.46410i 0.159747i
\(85\) −4.19615 + 8.39230i −0.455137 + 0.910273i
\(86\) 5.50000 + 9.52628i 0.593080 + 1.02725i
\(87\) −0.803848 0.464102i −0.0861815 0.0497569i
\(88\) 2.00000i 0.213201i
\(89\) 12.5622 + 3.36603i 1.33159 + 0.356798i 0.853307 0.521409i \(-0.174593\pi\)
0.478281 + 0.878207i \(0.341260\pi\)
\(90\) 6.09808 0.366025i 0.642794 0.0385825i
\(91\) −12.1962 3.26795i −1.27850 0.342574i
\(92\) −3.00000 + 5.19615i −0.312772 + 0.541736i
\(93\) 0.669873 1.16025i 0.0694626 0.120313i
\(94\) −5.73205 1.53590i −0.591216 0.158416i
\(95\) −5.16987 + 5.83013i −0.530418 + 0.598158i
\(96\) −0.500000 0.133975i −0.0510310 0.0136737i
\(97\) 5.46410i 0.554795i −0.960755 0.277398i \(-0.910528\pi\)
0.960755 0.277398i \(-0.0894720\pi\)
\(98\) 0.866025 + 0.500000i 0.0874818 + 0.0505076i
\(99\) 2.73205 + 4.73205i 0.274581 + 0.475589i
\(100\) 3.00000 + 4.00000i 0.300000 + 0.400000i
\(101\) 10.1962i 1.01456i −0.861783 0.507278i \(-0.830652\pi\)
0.861783 0.507278i \(-0.169348\pi\)
\(102\) 0.562178 2.09808i 0.0556639 0.207741i
\(103\) 4.19615i 0.413459i 0.978398 + 0.206730i \(0.0662820\pi\)
−0.978398 + 0.206730i \(0.933718\pi\)
\(104\) 2.23205 3.86603i 0.218871 0.379095i
\(105\) −1.46410 + 2.92820i −0.142882 + 0.285763i
\(106\) −11.6962 + 3.13397i −1.13603 + 0.304399i
\(107\) 0.428203 + 1.59808i 0.0413960 + 0.154492i 0.983530 0.180744i \(-0.0578506\pi\)
−0.942134 + 0.335236i \(0.891184\pi\)
\(108\) −2.86603 + 0.767949i −0.275783 + 0.0738959i
\(109\) −1.00000 + 3.73205i −0.0957826 + 0.357466i −0.997137 0.0756168i \(-0.975907\pi\)
0.901354 + 0.433082i \(0.142574\pi\)
\(110\) −2.00000 + 4.00000i −0.190693 + 0.381385i
\(111\) −2.03590 2.40192i −0.193239 0.227981i
\(112\) −2.00000 + 2.00000i −0.188982 + 0.188982i
\(113\) 5.19615 3.00000i 0.488813 0.282216i −0.235269 0.971930i \(-0.575597\pi\)
0.724082 + 0.689714i \(0.242264\pi\)
\(114\) 0.901924 1.56218i 0.0844729 0.146311i
\(115\) −11.1962 + 7.39230i −1.04405 + 0.689336i
\(116\) −0.464102 1.73205i −0.0430908 0.160817i
\(117\) 12.1962i 1.12753i
\(118\) 7.83013 2.09808i 0.720822 0.193144i
\(119\) −8.39230 8.39230i −0.769321 0.769321i
\(120\) −0.866025 0.767949i −0.0790569 0.0701038i
\(121\) 7.00000 0.636364
\(122\) 4.73205 + 4.73205i 0.428420 + 0.428420i
\(123\) 0.0621778 0.232051i 0.00560639 0.0209233i
\(124\) 2.50000 0.669873i 0.224507 0.0601564i
\(125\) 2.00000 + 11.0000i 0.178885 + 0.983870i
\(126\) −2.00000 + 7.46410i −0.178174 + 0.664955i
\(127\) 0.633975 + 0.169873i 0.0562561 + 0.0150738i 0.286837 0.957979i \(-0.407396\pi\)
−0.230581 + 0.973053i \(0.574063\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −1.47372 5.50000i −0.129754 0.484248i
\(130\) 8.33013 5.50000i 0.730600 0.482382i
\(131\) −2.73205 + 10.1962i −0.238700 + 0.890842i 0.737745 + 0.675079i \(0.235890\pi\)
−0.976446 + 0.215763i \(0.930776\pi\)
\(132\) 0.267949 1.00000i 0.0233220 0.0870388i
\(133\) −4.92820 8.53590i −0.427329 0.740156i
\(134\) −9.92820 9.92820i −0.857666 0.857666i
\(135\) −6.50000 1.33013i −0.559431 0.114479i
\(136\) 3.63397 2.09808i 0.311611 0.179909i
\(137\) 2.00000 2.00000i 0.170872 0.170872i −0.616491 0.787362i \(-0.711446\pi\)
0.787362 + 0.616491i \(0.211446\pi\)
\(138\) 2.19615 2.19615i 0.186949 0.186949i
\(139\) 1.46410 + 2.53590i 0.124183 + 0.215092i 0.921413 0.388584i \(-0.127036\pi\)
−0.797230 + 0.603676i \(0.793702\pi\)
\(140\) −6.00000 + 2.00000i −0.507093 + 0.169031i
\(141\) 2.66025 + 1.53590i 0.224034 + 0.129346i
\(142\) 10.9282 0.917074
\(143\) 7.73205 + 4.46410i 0.646587 + 0.373307i
\(144\) −2.36603 1.36603i −0.197169 0.113835i
\(145\) 0.803848 3.92820i 0.0667559 0.326220i
\(146\) 0 0
\(147\) −0.366025 0.366025i −0.0301893 0.0301893i
\(148\) 0.500000 6.06218i 0.0410997 0.498308i
\(149\) 19.2679i 1.57849i 0.614077 + 0.789246i \(0.289528\pi\)
−0.614077 + 0.789246i \(0.710472\pi\)
\(150\) −0.964102 2.40192i −0.0787186 0.196116i
\(151\) −6.23205 3.59808i −0.507157 0.292807i 0.224507 0.974472i \(-0.427923\pi\)
−0.731664 + 0.681665i \(0.761256\pi\)
\(152\) 3.36603 0.901924i 0.273021 0.0731557i
\(153\) 5.73205 9.92820i 0.463409 0.802648i
\(154\) −4.00000 4.00000i −0.322329 0.322329i
\(155\) 5.66987 + 1.16025i 0.455415 + 0.0931938i
\(156\) −1.63397 + 1.63397i −0.130823 + 0.130823i
\(157\) 17.2583 + 4.62436i 1.37736 + 0.369064i 0.870163 0.492764i \(-0.164013\pi\)
0.507202 + 0.861827i \(0.330680\pi\)
\(158\) 5.00000 + 5.00000i 0.397779 + 0.397779i
\(159\) 6.26795 0.497081
\(160\) −0.133975 2.23205i −0.0105916 0.176459i
\(161\) −4.39230 16.3923i −0.346162 1.29189i
\(162\) −6.66025 −0.523279
\(163\) −9.06218 + 5.23205i −0.709805 + 0.409806i −0.810989 0.585062i \(-0.801070\pi\)
0.101184 + 0.994868i \(0.467737\pi\)
\(164\) 0.401924 0.232051i 0.0313850 0.0181201i
\(165\) 1.53590 1.73205i 0.119570 0.134840i
\(166\) 12.8301 3.43782i 0.995811 0.266827i
\(167\) −14.9545 8.63397i −1.15721 0.668117i −0.206578 0.978430i \(-0.566233\pi\)
−0.950634 + 0.310313i \(0.899566\pi\)
\(168\) 1.26795 0.732051i 0.0978244 0.0564789i
\(169\) −3.46410 6.00000i −0.266469 0.461538i
\(170\) 9.36603 0.562178i 0.718341 0.0431171i
\(171\) 6.73205 6.73205i 0.514813 0.514813i
\(172\) 5.50000 9.52628i 0.419371 0.726372i
\(173\) −9.29423 2.49038i −0.706627 0.189340i −0.112430 0.993660i \(-0.535863\pi\)
−0.594197 + 0.804319i \(0.702530\pi\)
\(174\) 0.928203i 0.0703669i
\(175\) −14.0000 2.00000i −1.05830 0.151186i
\(176\) 1.73205 1.00000i 0.130558 0.0753778i
\(177\) −4.19615 −0.315402
\(178\) −3.36603 12.5622i −0.252294 0.941575i
\(179\) −10.3923 + 10.3923i −0.776757 + 0.776757i −0.979278 0.202521i \(-0.935087\pi\)
0.202521 + 0.979278i \(0.435087\pi\)
\(180\) −3.36603 5.09808i −0.250889 0.379988i
\(181\) 12.0981 20.9545i 0.899243 1.55753i 0.0707790 0.997492i \(-0.477451\pi\)
0.828464 0.560042i \(-0.189215\pi\)
\(182\) 3.26795 + 12.1962i 0.242237 + 0.904039i
\(183\) −1.73205 3.00000i −0.128037 0.221766i
\(184\) 6.00000 0.442326
\(185\) 7.06218 11.6244i 0.519222 0.854640i
\(186\) −1.33975 −0.0982349
\(187\) 4.19615 + 7.26795i 0.306853 + 0.531485i
\(188\) 1.53590 + 5.73205i 0.112017 + 0.418053i
\(189\) 4.19615 7.26795i 0.305225 0.528666i
\(190\) 7.63397 + 1.56218i 0.553827 + 0.113332i
\(191\) 6.83013 6.83013i 0.494211 0.494211i −0.415419 0.909630i \(-0.636365\pi\)
0.909630 + 0.415419i \(0.136365\pi\)
\(192\) 0.133975 + 0.500000i 0.00966878 + 0.0360844i
\(193\) −17.6603 −1.27121 −0.635606 0.772013i \(-0.719250\pi\)
−0.635606 + 0.772013i \(0.719250\pi\)
\(194\) −4.73205 + 2.73205i −0.339741 + 0.196150i
\(195\) −4.90192 + 1.63397i −0.351034 + 0.117011i
\(196\) 1.00000i 0.0714286i
\(197\) −22.8923 6.13397i −1.63101 0.437028i −0.676800 0.736167i \(-0.736634\pi\)
−0.954209 + 0.299140i \(0.903300\pi\)
\(198\) 2.73205 4.73205i 0.194158 0.336292i
\(199\) 7.75833 7.75833i 0.549973 0.549973i −0.376460 0.926433i \(-0.622859\pi\)
0.926433 + 0.376460i \(0.122859\pi\)
\(200\) 1.96410 4.59808i 0.138883 0.325133i
\(201\) 3.63397 + 6.29423i 0.256321 + 0.443961i
\(202\) −8.83013 + 5.09808i −0.621286 + 0.358699i
\(203\) 4.39230 + 2.53590i 0.308279 + 0.177985i
\(204\) −2.09808 + 0.562178i −0.146895 + 0.0393603i
\(205\) 1.03590 0.0621778i 0.0723503 0.00434269i
\(206\) 3.63397 2.09808i 0.253191 0.146180i
\(207\) 14.1962 8.19615i 0.986701 0.569672i
\(208\) −4.46410 −0.309530
\(209\) 1.80385 + 6.73205i 0.124775 + 0.465666i
\(210\) 3.26795 0.196152i 0.225510 0.0135358i
\(211\) 4.00000 0.275371 0.137686 0.990476i \(-0.456034\pi\)
0.137686 + 0.990476i \(0.456034\pi\)
\(212\) 8.56218 + 8.56218i 0.588053 + 0.588053i
\(213\) −5.46410 1.46410i −0.374394 0.100319i
\(214\) 1.16987 1.16987i 0.0799709 0.0799709i
\(215\) 20.5263 13.5526i 1.39988 0.924277i
\(216\) 2.09808 + 2.09808i 0.142756 + 0.142756i
\(217\) −3.66025 + 6.33975i −0.248474 + 0.430370i
\(218\) 3.73205 1.00000i 0.252766 0.0677285i
\(219\) 0 0
\(220\) 4.46410 0.267949i 0.300970 0.0180651i
\(221\) 18.7321i 1.26005i
\(222\) −1.06218 + 2.96410i −0.0712887 + 0.198937i
\(223\) 0.928203 + 0.928203i 0.0621571 + 0.0621571i 0.737502 0.675345i \(-0.236005\pi\)
−0.675345 + 0.737502i \(0.736005\pi\)
\(224\) 2.73205 + 0.732051i 0.182543 + 0.0489122i
\(225\) −1.63397 13.5622i −0.108932 0.904145i
\(226\) −5.19615 3.00000i −0.345643 0.199557i
\(227\) −12.6962 7.33013i −0.842673 0.486518i 0.0154988 0.999880i \(-0.495066\pi\)
−0.858172 + 0.513362i \(0.828400\pi\)
\(228\) −1.80385 −0.119463
\(229\) 0.294229 + 0.169873i 0.0194432 + 0.0112255i 0.509690 0.860358i \(-0.329760\pi\)
−0.490247 + 0.871584i \(0.663093\pi\)
\(230\) 12.0000 + 6.00000i 0.791257 + 0.395628i
\(231\) 1.46410 + 2.53590i 0.0963308 + 0.166850i
\(232\) −1.26795 + 1.26795i −0.0832449 + 0.0832449i
\(233\) −11.8564 + 11.8564i −0.776739 + 0.776739i −0.979275 0.202536i \(-0.935082\pi\)
0.202536 + 0.979275i \(0.435082\pi\)
\(234\) −10.5622 + 6.09808i −0.690471 + 0.398644i
\(235\) −2.66025 + 13.0000i −0.173536 + 0.848026i
\(236\) −5.73205 5.73205i −0.373125 0.373125i
\(237\) −1.83013 3.16987i −0.118880 0.205905i
\(238\) −3.07180 + 11.4641i −0.199115 + 0.743107i
\(239\) −6.16987 + 23.0263i −0.399096 + 1.48945i 0.415594 + 0.909550i \(0.363574\pi\)
−0.814690 + 0.579896i \(0.803093\pi\)
\(240\) −0.232051 + 1.13397i −0.0149788 + 0.0731977i
\(241\) −1.02628 3.83013i −0.0661085 0.246720i 0.924962 0.380060i \(-0.124097\pi\)
−0.991070 + 0.133340i \(0.957430\pi\)
\(242\) −3.50000 6.06218i −0.224989 0.389692i
\(243\) 11.9282 + 3.19615i 0.765195 + 0.205033i
\(244\) 1.73205 6.46410i 0.110883 0.413822i
\(245\) 1.00000 2.00000i 0.0638877 0.127775i
\(246\) −0.232051 + 0.0621778i −0.0147950 + 0.00396431i
\(247\) 4.02628 15.0263i 0.256186 0.956099i
\(248\) −1.83013 1.83013i −0.116213 0.116213i
\(249\) −6.87564 −0.435726
\(250\) 8.52628 7.23205i 0.539249 0.457395i
\(251\) 2.26795 + 2.26795i 0.143152 + 0.143152i 0.775051 0.631899i \(-0.217724\pi\)
−0.631899 + 0.775051i \(0.717724\pi\)
\(252\) 7.46410 2.00000i 0.470194 0.125988i
\(253\) 12.0000i 0.754434i
\(254\) −0.169873 0.633975i −0.0106588 0.0397791i
\(255\) −4.75833 0.973721i −0.297978 0.0609767i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −15.2942 + 8.83013i −0.954028 + 0.550808i −0.894330 0.447408i \(-0.852347\pi\)
−0.0596980 + 0.998216i \(0.519014\pi\)
\(258\) −4.02628 + 4.02628i −0.250665 + 0.250665i
\(259\) 11.1244 + 13.1244i 0.691234 + 0.815508i
\(260\) −8.92820 4.46410i −0.553704 0.276852i
\(261\) −1.26795 + 4.73205i −0.0784841 + 0.292907i
\(262\) 10.1962 2.73205i 0.629920 0.168787i
\(263\) 5.09808 + 19.0263i 0.314361 + 1.17321i 0.924583 + 0.380980i \(0.124413\pi\)
−0.610222 + 0.792230i \(0.708920\pi\)
\(264\) −1.00000 + 0.267949i −0.0615457 + 0.0164911i
\(265\) 8.56218 + 25.6865i 0.525970 + 1.57791i
\(266\) −4.92820 + 8.53590i −0.302168 + 0.523370i
\(267\) 6.73205i 0.411995i
\(268\) −3.63397 + 13.5622i −0.221980 + 0.828442i
\(269\) 24.5885i 1.49918i −0.661900 0.749592i \(-0.730250\pi\)
0.661900 0.749592i \(-0.269750\pi\)
\(270\) 2.09808 + 6.29423i 0.127685 + 0.383055i
\(271\) 1.76795 + 3.06218i 0.107395 + 0.186014i 0.914714 0.404101i \(-0.132416\pi\)
−0.807319 + 0.590115i \(0.799082\pi\)
\(272\) −3.63397 2.09808i −0.220342 0.127215i
\(273\) 6.53590i 0.395571i
\(274\) −2.73205 0.732051i −0.165049 0.0442248i
\(275\) 9.19615 + 3.92820i 0.554549 + 0.236880i
\(276\) −3.00000 0.803848i −0.180579 0.0483859i
\(277\) −0.330127 + 0.571797i −0.0198354 + 0.0343559i −0.875773 0.482724i \(-0.839648\pi\)
0.855937 + 0.517080i \(0.172981\pi\)
\(278\) 1.46410 2.53590i 0.0878110 0.152093i
\(279\) −6.83013 1.83013i −0.408909 0.109567i
\(280\) 4.73205 + 4.19615i 0.282794 + 0.250768i
\(281\) 23.6244 + 6.33013i 1.40931 + 0.377624i 0.881679 0.471849i \(-0.156413\pi\)
0.527632 + 0.849473i \(0.323080\pi\)
\(282\) 3.07180i 0.182923i
\(283\) −11.2583 6.50000i −0.669238 0.386385i 0.126550 0.991960i \(-0.459610\pi\)
−0.795788 + 0.605575i \(0.792943\pi\)
\(284\) −5.46410 9.46410i −0.324235 0.561591i
\(285\) −3.60770 1.80385i −0.213701 0.106851i
\(286\) 8.92820i 0.527936i
\(287\) −0.339746 + 1.26795i −0.0200546 + 0.0748447i
\(288\) 2.73205i 0.160988i
\(289\) 0.303848 0.526279i 0.0178734 0.0309576i
\(290\) −3.80385 + 1.26795i −0.223370 + 0.0744565i
\(291\) 2.73205 0.732051i 0.160156 0.0429136i
\(292\) 0 0
\(293\) 18.1603 4.86603i 1.06093 0.284276i 0.314170 0.949367i \(-0.398274\pi\)
0.746763 + 0.665090i \(0.231607\pi\)
\(294\) −0.133975 + 0.500000i −0.00781356 + 0.0291606i
\(295\) −5.73205 17.1962i −0.333733 1.00120i
\(296\) −5.50000 + 2.59808i −0.319681 + 0.151010i
\(297\) −4.19615 + 4.19615i −0.243485 + 0.243485i
\(298\) 16.6865 9.63397i 0.966625 0.558081i
\(299\) 13.3923 23.1962i 0.774497 1.34147i
\(300\) −1.59808 + 2.03590i −0.0922650 + 0.117543i
\(301\) 8.05256 + 30.0526i 0.464142 + 1.73220i
\(302\) 7.19615i 0.414092i
\(303\) 5.09808 1.36603i 0.292877 0.0784761i
\(304\) −2.46410 2.46410i −0.141326 0.141326i
\(305\) 9.92820 11.1962i 0.568487 0.641090i
\(306\) −11.4641 −0.655359
\(307\) 24.4186 + 24.4186i 1.39364 + 1.39364i 0.816989 + 0.576653i \(0.195642\pi\)
0.576653 + 0.816989i \(0.304358\pi\)
\(308\) −1.46410 + 5.46410i −0.0834249 + 0.311346i
\(309\) −2.09808 + 0.562178i −0.119355 + 0.0319812i
\(310\) −1.83013 5.49038i −0.103944 0.311833i
\(311\) −7.25833 + 27.0885i −0.411582 + 1.53605i 0.380002 + 0.924986i \(0.375923\pi\)
−0.791584 + 0.611060i \(0.790743\pi\)
\(312\) 2.23205 + 0.598076i 0.126365 + 0.0338594i
\(313\) 5.26795 + 9.12436i 0.297762 + 0.515739i 0.975624 0.219451i \(-0.0704265\pi\)
−0.677862 + 0.735190i \(0.737093\pi\)
\(314\) −4.62436 17.2583i −0.260967 0.973944i
\(315\) 16.9282 + 3.46410i 0.953796 + 0.195180i
\(316\) 1.83013 6.83013i 0.102953 0.384225i
\(317\) −7.82051 + 29.1865i −0.439243 + 1.63928i 0.291459 + 0.956583i \(0.405859\pi\)
−0.730703 + 0.682696i \(0.760807\pi\)
\(318\) −3.13397 5.42820i −0.175745 0.304399i
\(319\) −2.53590 2.53590i −0.141983 0.141983i
\(320\) −1.86603 + 1.23205i −0.104314 + 0.0688737i
\(321\) −0.741670 + 0.428203i −0.0413960 + 0.0239000i
\(322\) −12.0000 + 12.0000i −0.668734 + 0.668734i
\(323\) 10.3397 10.3397i 0.575319 0.575319i
\(324\) 3.33013 + 5.76795i 0.185007 + 0.320442i
\(325\) −13.3923 17.8564i −0.742871 0.990495i
\(326\) 9.06218 + 5.23205i 0.501908 + 0.289776i
\(327\) −2.00000 −0.110600
\(328\) −0.401924 0.232051i −0.0221925 0.0128129i
\(329\) −14.5359 8.39230i −0.801390 0.462683i
\(330\) −2.26795 0.464102i −0.124846 0.0255480i
\(331\) −7.83013 2.09808i −0.430383 0.115321i 0.0371231 0.999311i \(-0.488181\pi\)
−0.467506 + 0.883990i \(0.654847\pi\)
\(332\) −9.39230 9.39230i −0.515470 0.515470i
\(333\) −9.46410 + 13.6603i −0.518630 + 0.748577i
\(334\) 17.2679i 0.944860i
\(335\) −20.8301 + 23.4904i −1.13807 + 1.28342i
\(336\) −1.26795 0.732051i −0.0691723 0.0399366i
\(337\) −17.0263 + 4.56218i −0.927481 + 0.248518i −0.690780 0.723065i \(-0.742733\pi\)
−0.236701 + 0.971583i \(0.576066\pi\)
\(338\) −3.46410 + 6.00000i −0.188422 + 0.326357i
\(339\) 2.19615 + 2.19615i 0.119279 + 0.119279i
\(340\) −5.16987 7.83013i −0.280376 0.424648i
\(341\) 3.66025 3.66025i 0.198214 0.198214i
\(342\) −9.19615 2.46410i −0.497271 0.133243i
\(343\) −12.0000 12.0000i −0.647939 0.647939i
\(344\) −11.0000 −0.593080
\(345\) −5.19615 4.60770i −0.279751 0.248070i
\(346\) 2.49038 + 9.29423i 0.133884 + 0.499661i
\(347\) −7.85641 −0.421754 −0.210877 0.977513i \(-0.567632\pi\)
−0.210877 + 0.977513i \(0.567632\pi\)
\(348\) 0.803848 0.464102i 0.0430908 0.0248785i
\(349\) 25.9019 14.9545i 1.38650 0.800495i 0.393579 0.919291i \(-0.371237\pi\)
0.992919 + 0.118796i \(0.0379033\pi\)
\(350\) 5.26795 + 13.1244i 0.281584 + 0.701526i
\(351\) 12.7942 3.42820i 0.682905 0.182984i
\(352\) −1.73205 1.00000i −0.0923186 0.0533002i
\(353\) −7.60770 + 4.39230i −0.404917 + 0.233779i −0.688603 0.725138i \(-0.741776\pi\)
0.283687 + 0.958917i \(0.408442\pi\)
\(354\) 2.09808 + 3.63397i 0.111511 + 0.193144i
\(355\) −1.46410 24.3923i −0.0777064 1.29461i
\(356\) −9.19615 + 9.19615i −0.487395 + 0.487395i
\(357\) 3.07180 5.32051i 0.162577 0.281591i
\(358\) 14.1962 + 3.80385i 0.750290 + 0.201040i
\(359\) 17.3923i 0.917931i 0.888454 + 0.458965i \(0.151780\pi\)
−0.888454 + 0.458965i \(0.848220\pi\)
\(360\) −2.73205 + 5.46410i −0.143992 + 0.287983i
\(361\) −5.93782 + 3.42820i −0.312517 + 0.180432i
\(362\) −24.1962 −1.27172
\(363\) 0.937822 + 3.50000i 0.0492229 + 0.183702i
\(364\) 8.92820 8.92820i 0.467965 0.467965i
\(365\) 0 0
\(366\) −1.73205 + 3.00000i −0.0905357 + 0.156813i
\(367\) −6.78461 25.3205i −0.354154 1.32172i −0.881546 0.472098i \(-0.843497\pi\)
0.527392 0.849622i \(-0.323170\pi\)
\(368\) −3.00000 5.19615i −0.156386 0.270868i
\(369\) −1.26795 −0.0660068
\(370\) −13.5981 0.303848i −0.706930 0.0157963i
\(371\) −34.2487 −1.77810
\(372\) 0.669873 + 1.16025i 0.0347313 + 0.0601564i
\(373\) 6.86603 + 25.6244i 0.355509 + 1.32678i 0.879842 + 0.475266i \(0.157648\pi\)
−0.524333 + 0.851513i \(0.675685\pi\)
\(374\) 4.19615 7.26795i 0.216978 0.375817i
\(375\) −5.23205 + 2.47372i −0.270182 + 0.127742i
\(376\) 4.19615 4.19615i 0.216400 0.216400i
\(377\) 2.07180 + 7.73205i 0.106703 + 0.398221i
\(378\) −8.39230 −0.431654
\(379\) 18.5885 10.7321i 0.954825 0.551268i 0.0602485 0.998183i \(-0.480811\pi\)
0.894576 + 0.446915i \(0.147477\pi\)
\(380\) −2.46410 7.39230i −0.126406 0.379217i
\(381\) 0.339746i 0.0174057i
\(382\) −9.33013 2.50000i −0.477371 0.127911i
\(383\) 4.26795 7.39230i 0.218082 0.377729i −0.736140 0.676830i \(-0.763353\pi\)
0.954222 + 0.299101i \(0.0966866\pi\)
\(384\) 0.366025 0.366025i 0.0186787 0.0186787i
\(385\) −8.39230 + 9.46410i −0.427711 + 0.482335i
\(386\) 8.83013 + 15.2942i 0.449442 + 0.778456i
\(387\) −26.0263 + 15.0263i −1.32299 + 0.763829i
\(388\) 4.73205 + 2.73205i 0.240233 + 0.138699i
\(389\) −6.09808 + 1.63397i −0.309185 + 0.0828458i −0.410075 0.912052i \(-0.634498\pi\)
0.100890 + 0.994898i \(0.467831\pi\)
\(390\) 3.86603 + 3.42820i 0.195764 + 0.173594i
\(391\) 21.8038 12.5885i 1.10267 0.636626i
\(392\) −0.866025 + 0.500000i −0.0437409 + 0.0252538i
\(393\) −5.46410 −0.275627
\(394\) 6.13397 + 22.8923i 0.309025 + 1.15330i
\(395\) 10.4904 11.8301i 0.527828 0.595238i
\(396\) −5.46410 −0.274581
\(397\) 24.7583 + 24.7583i 1.24258 + 1.24258i 0.958925 + 0.283660i \(0.0915487\pi\)
0.283660 + 0.958925i \(0.408451\pi\)
\(398\) −10.5981 2.83975i −0.531234 0.142344i
\(399\) 3.60770 3.60770i 0.180611 0.180611i
\(400\) −4.96410 + 0.598076i −0.248205 + 0.0299038i
\(401\) 8.12436 + 8.12436i 0.405711 + 0.405711i 0.880240 0.474529i \(-0.157382\pi\)
−0.474529 + 0.880240i \(0.657382\pi\)
\(402\) 3.63397 6.29423i 0.181246 0.313928i
\(403\) −11.1603 + 2.99038i −0.555932 + 0.148961i
\(404\) 8.83013 + 5.09808i 0.439315 + 0.253639i
\(405\) 0.892305 + 14.8660i 0.0443390 + 0.738699i
\(406\) 5.07180i 0.251709i
\(407\) −5.19615 11.0000i −0.257564 0.545250i
\(408\) 1.53590 + 1.53590i 0.0760383 + 0.0760383i
\(409\) 27.8923 + 7.47372i 1.37919 + 0.369552i 0.870825 0.491593i \(-0.163585\pi\)
0.508360 + 0.861144i \(0.330252\pi\)
\(410\) −0.571797 0.866025i −0.0282390 0.0427699i
\(411\) 1.26795 + 0.732051i 0.0625433 + 0.0361094i
\(412\) −3.63397 2.09808i −0.179033 0.103365i
\(413\) 22.9282 1.12822
\(414\) −14.1962 8.19615i −0.697703 0.402819i
\(415\) −9.39230 28.1769i −0.461050 1.38315i
\(416\) 2.23205 + 3.86603i 0.109435 + 0.189547i
\(417\) −1.07180 + 1.07180i −0.0524861 + 0.0524861i
\(418\) 4.92820 4.92820i 0.241046 0.241046i
\(419\) 27.4186 15.8301i 1.33949 0.773352i 0.352754 0.935716i \(-0.385245\pi\)
0.986731 + 0.162364i \(0.0519117\pi\)
\(420\) −1.80385 2.73205i −0.0880187 0.133310i
\(421\) 8.66025 + 8.66025i 0.422075 + 0.422075i 0.885918 0.463843i \(-0.153530\pi\)
−0.463843 + 0.885918i \(0.653530\pi\)
\(422\) −2.00000 3.46410i −0.0973585 0.168630i
\(423\) 4.19615 15.6603i 0.204024 0.761428i
\(424\) 3.13397 11.6962i 0.152199 0.568015i
\(425\) −2.50962 20.8301i −0.121734 1.01041i
\(426\) 1.46410 + 5.46410i 0.0709360 + 0.264737i
\(427\) 9.46410 + 16.3923i 0.458000 + 0.793279i
\(428\) −1.59808 0.428203i −0.0772459 0.0206980i
\(429\) −1.19615 + 4.46410i −0.0577508 + 0.215529i
\(430\) −22.0000 11.0000i −1.06093 0.530467i
\(431\) −24.8923 + 6.66987i −1.19902 + 0.321276i −0.802445 0.596726i \(-0.796468\pi\)
−0.396575 + 0.918002i \(0.629801\pi\)
\(432\) 0.767949 2.86603i 0.0369480 0.137892i
\(433\) −7.19615 7.19615i −0.345825 0.345825i 0.512727 0.858552i \(-0.328635\pi\)
−0.858552 + 0.512727i \(0.828635\pi\)
\(434\) 7.32051 0.351396
\(435\) 2.07180 0.124356i 0.0993351 0.00596240i
\(436\) −2.73205 2.73205i −0.130842 0.130842i
\(437\) 20.1962 5.41154i 0.966113 0.258869i
\(438\) 0 0
\(439\) 0.866025 + 3.23205i 0.0413331 + 0.154257i 0.983508 0.180864i \(-0.0578894\pi\)
−0.942175 + 0.335121i \(0.891223\pi\)
\(440\) −2.46410 3.73205i −0.117471 0.177919i
\(441\) −1.36603 + 2.36603i −0.0650488 + 0.112668i
\(442\) −16.2224 + 9.36603i −0.771622 + 0.445496i
\(443\) 3.75833 3.75833i 0.178564 0.178564i −0.612166 0.790729i \(-0.709701\pi\)
0.790729 + 0.612166i \(0.209701\pi\)
\(444\) 3.09808 0.562178i 0.147028 0.0266798i
\(445\) −27.5885 + 9.19615i −1.30782 + 0.435939i
\(446\) 0.339746 1.26795i 0.0160874 0.0600391i
\(447\) −9.63397 + 2.58142i −0.455671 + 0.122097i
\(448\) −0.732051 2.73205i −0.0345861 0.129077i
\(449\) −13.4282 + 3.59808i −0.633716 + 0.169804i −0.561355 0.827575i \(-0.689720\pi\)
−0.0723607 + 0.997379i \(0.523053\pi\)
\(450\) −10.9282 + 8.19615i −0.515160 + 0.386370i
\(451\) 0.464102 0.803848i 0.0218537 0.0378517i
\(452\) 6.00000i 0.282216i
\(453\) 0.964102 3.59808i 0.0452974 0.169052i
\(454\) 14.6603i 0.688040i
\(455\) 26.7846 8.92820i 1.25568 0.418561i
\(456\) 0.901924 + 1.56218i 0.0422365 + 0.0731557i
\(457\) −12.8038 7.39230i −0.598939 0.345797i 0.169685 0.985498i \(-0.445725\pi\)
−0.768624 + 0.639701i \(0.779058\pi\)
\(458\) 0.339746i 0.0158753i
\(459\) 12.0263 + 3.22243i 0.561339 + 0.150410i
\(460\) −0.803848 13.3923i −0.0374796 0.624419i
\(461\) −11.4641 3.07180i −0.533936 0.143068i −0.0182310 0.999834i \(-0.505803\pi\)
−0.515705 + 0.856766i \(0.672470\pi\)
\(462\) 1.46410 2.53590i 0.0681162 0.117981i
\(463\) −12.8301 + 22.2224i −0.596267 + 1.03276i 0.397100 + 0.917775i \(0.370017\pi\)
−0.993367 + 0.114989i \(0.963317\pi\)
\(464\) 1.73205 + 0.464102i 0.0804084 + 0.0215454i
\(465\) 0.179492 + 2.99038i 0.00832374 + 0.138676i
\(466\) 16.1962 + 4.33975i 0.750272 + 0.201035i
\(467\) 16.0718i 0.743714i −0.928290 0.371857i \(-0.878721\pi\)
0.928290 0.371857i \(-0.121279\pi\)
\(468\) 10.5622 + 6.09808i 0.488237 + 0.281884i
\(469\) −19.8564 34.3923i −0.916884 1.58809i
\(470\) 12.5885 4.19615i 0.580662 0.193554i
\(471\) 9.24871i 0.426158i
\(472\) −2.09808 + 7.83013i −0.0965718 + 0.360411i
\(473\) 22.0000i 1.01156i
\(474\) −1.83013 + 3.16987i −0.0840605 + 0.145597i
\(475\) 2.46410 17.2487i 0.113061 0.791425i
\(476\) 11.4641 3.07180i 0.525456 0.140796i
\(477\) −8.56218 31.9545i −0.392035 1.46310i
\(478\) 23.0263 6.16987i 1.05320 0.282203i
\(479\) −2.96410 + 11.0622i −0.135433 + 0.505444i 0.864562 + 0.502525i \(0.167596\pi\)
−0.999996 + 0.00291847i \(0.999071\pi\)
\(480\) 1.09808 0.366025i 0.0501201 0.0167067i
\(481\) −2.23205 + 27.0622i −0.101773 + 1.23393i
\(482\) −2.80385 + 2.80385i −0.127712 + 0.127712i
\(483\) 7.60770 4.39230i 0.346162 0.199857i
\(484\) −3.50000 + 6.06218i −0.159091 + 0.275554i
\(485\) 6.73205 + 10.1962i 0.305687 + 0.462983i
\(486\) −3.19615 11.9282i −0.144980 0.541074i
\(487\) 34.5359i 1.56497i −0.622669 0.782485i \(-0.713952\pi\)
0.622669 0.782485i \(-0.286048\pi\)
\(488\) −6.46410 + 1.73205i −0.292616 + 0.0784063i
\(489\) −3.83013 3.83013i −0.173204 0.173204i
\(490\) −2.23205 + 0.133975i −0.100834 + 0.00605236i
\(491\) 2.19615 0.0991110 0.0495555 0.998771i \(-0.484220\pi\)
0.0495555 + 0.998771i \(0.484220\pi\)
\(492\) 0.169873 + 0.169873i 0.00765847 + 0.00765847i
\(493\) −1.94744 + 7.26795i −0.0877083 + 0.327332i
\(494\) −15.0263 + 4.02628i −0.676064 + 0.181151i
\(495\) −10.9282 5.46410i −0.491186 0.245593i
\(496\) −0.669873 + 2.50000i −0.0300782 + 0.112253i
\(497\) 29.8564 + 8.00000i 1.33924 + 0.358849i
\(498\) 3.43782 + 5.95448i 0.154052 + 0.266827i
\(499\) 4.80385 + 17.9282i 0.215050 + 0.802577i 0.986149 + 0.165862i \(0.0530405\pi\)
−0.771099 + 0.636715i \(0.780293\pi\)
\(500\) −10.5263 3.76795i −0.470750 0.168508i
\(501\) 2.31347 8.63397i 0.103358 0.385738i
\(502\) 0.830127 3.09808i 0.0370504 0.138274i
\(503\) 13.5622 + 23.4904i 0.604708 + 1.04738i 0.992098 + 0.125468i \(0.0400434\pi\)
−0.387390 + 0.921916i \(0.626623\pi\)
\(504\) −5.46410 5.46410i −0.243390 0.243390i
\(505\) 12.5622 + 19.0263i 0.559010 + 0.846658i
\(506\) 10.3923 6.00000i 0.461994 0.266733i
\(507\) 2.53590 2.53590i 0.112623 0.112623i
\(508\) −0.464102 + 0.464102i −0.0205912 + 0.0205912i
\(509\) −18.9282 32.7846i −0.838978 1.45315i −0.890750 0.454493i \(-0.849820\pi\)
0.0517723 0.998659i \(-0.483513\pi\)
\(510\) 1.53590 + 4.60770i 0.0680107 + 0.204032i
\(511\) 0 0
\(512\) 1.00000 0.0441942
\(513\) 8.95448 + 5.16987i 0.395350 + 0.228255i
\(514\) 15.2942 + 8.83013i 0.674600 + 0.389480i
\(515\) −5.16987 7.83013i −0.227812 0.345037i
\(516\) 5.50000 + 1.47372i 0.242124 + 0.0648769i
\(517\) 8.39230 + 8.39230i 0.369093 + 0.369093i
\(518\) 5.80385 16.1962i 0.255006 0.711618i
\(519\) 4.98076i 0.218631i
\(520\) 0.598076 + 9.96410i 0.0262274 + 0.436955i
\(521\) 14.0885 + 8.13397i 0.617227 + 0.356356i 0.775788 0.630993i \(-0.217352\pi\)
−0.158562 + 0.987349i \(0.550686\pi\)
\(522\) 4.73205 1.26795i 0.207116 0.0554966i
\(523\) −4.40192 + 7.62436i −0.192483 + 0.333390i −0.946072 0.323955i \(-0.894987\pi\)
0.753590 + 0.657345i \(0.228321\pi\)
\(524\) −7.46410 7.46410i −0.326071 0.326071i
\(525\) −0.875644 7.26795i −0.0382163 0.317199i
\(526\) 13.9282 13.9282i 0.607299 0.607299i
\(527\) −10.4904 2.81089i −0.456968 0.122444i
\(528\) 0.732051 + 0.732051i 0.0318584 + 0.0318584i
\(529\) 13.0000 0.565217
\(530\) 17.9641 20.2583i 0.780311 0.879966i
\(531\) 5.73205 + 21.3923i 0.248750 + 0.928347i
\(532\) 9.85641 0.427329
\(533\) −1.79423 + 1.03590i −0.0777167 + 0.0448697i
\(534\) 5.83013 3.36603i 0.252294 0.145662i
\(535\) −2.76795 2.45448i −0.119669 0.106117i
\(536\) 13.5622 3.63397i 0.585797 0.156964i
\(537\) −6.58846 3.80385i −0.284313 0.164148i
\(538\) −21.2942 + 12.2942i −0.918059 + 0.530042i
\(539\) −1.00000 1.73205i −0.0430730 0.0746047i
\(540\) 4.40192 4.96410i 0.189429 0.213621i
\(541\) 18.9282 18.9282i 0.813787 0.813787i −0.171412 0.985199i \(-0.554833\pi\)
0.985199 + 0.171412i \(0.0548330\pi\)
\(542\) 1.76795 3.06218i 0.0759399 0.131532i
\(543\) 12.0981 + 3.24167i 0.519178 + 0.139113i
\(544\) 4.19615i 0.179909i
\(545\) −2.73205 8.19615i −0.117028 0.351085i
\(546\) −5.66025 + 3.26795i −0.242237 + 0.139855i
\(547\) −33.9808 −1.45291 −0.726456 0.687213i \(-0.758834\pi\)
−0.726456 + 0.687213i \(0.758834\pi\)
\(548\) 0.732051 + 2.73205i 0.0312717 + 0.116707i
\(549\) −12.9282 + 12.9282i −0.551762 + 0.551762i
\(550\) −1.19615 9.92820i −0.0510041 0.423340i
\(551\) −3.12436 + 5.41154i −0.133102 + 0.230539i
\(552\) 0.803848 + 3.00000i 0.0342140 + 0.127688i
\(553\) 10.0000 + 17.3205i 0.425243 + 0.736543i
\(554\) 0.660254 0.0280515
\(555\) 6.75833 + 1.97372i 0.286875 + 0.0837798i
\(556\) −2.92820 −0.124183
\(557\) 8.30385 + 14.3827i 0.351845 + 0.609414i 0.986573 0.163322i \(-0.0522210\pi\)
−0.634727 + 0.772736i \(0.718888\pi\)
\(558\) 1.83013 + 6.83013i 0.0774755 + 0.289142i
\(559\) −24.5526 + 42.5263i −1.03846 + 1.79867i
\(560\) 1.26795 6.19615i 0.0535806 0.261835i
\(561\) −3.07180 + 3.07180i −0.129691 + 0.129691i
\(562\) −6.33013 23.6244i −0.267020 0.996533i
\(563\) 36.3923 1.53375 0.766876 0.641795i \(-0.221810\pi\)
0.766876 + 0.641795i \(0.221810\pi\)
\(564\) −2.66025 + 1.53590i −0.112017 + 0.0646730i
\(565\) −6.00000 + 12.0000i −0.252422 + 0.504844i
\(566\) 13.0000i 0.546431i
\(567\) −18.1962 4.87564i −0.764167 0.204758i
\(568\) −5.46410 + 9.46410i −0.229269 + 0.397105i
\(569\) 14.6340 14.6340i 0.613488 0.613488i −0.330365 0.943853i \(-0.607172\pi\)
0.943853 + 0.330365i \(0.107172\pi\)
\(570\) 0.241670 + 4.02628i 0.0101224 + 0.168642i
\(571\) −1.75833 3.04552i −0.0735838 0.127451i 0.826886 0.562370i \(-0.190110\pi\)
−0.900470 + 0.434919i \(0.856777\pi\)
\(572\) −7.73205 + 4.46410i −0.323293 + 0.186653i
\(573\) 4.33013 + 2.50000i 0.180894 + 0.104439i
\(574\) 1.26795 0.339746i 0.0529232 0.0141807i
\(575\) 11.7846 27.5885i 0.491452 1.15052i
\(576\) 2.36603 1.36603i 0.0985844 0.0569177i
\(577\) −16.3923 + 9.46410i −0.682421 + 0.393996i −0.800766 0.598977i \(-0.795574\pi\)
0.118346 + 0.992972i \(0.462241\pi\)
\(578\) −0.607695 −0.0252768
\(579\) −2.36603 8.83013i −0.0983287 0.366968i
\(580\) 3.00000 + 2.66025i 0.124568 + 0.110461i
\(581\) 37.5692 1.55863
\(582\) −2.00000 2.00000i −0.0829027 0.0829027i
\(583\) 23.3923 + 6.26795i 0.968810 + 0.259592i
\(584\) 0 0
\(585\) 15.0263 + 22.7583i 0.621260 + 0.940941i
\(586\) −13.2942 13.2942i −0.549180 0.549180i
\(587\) −10.1603 + 17.5981i −0.419359 + 0.726350i −0.995875 0.0907352i \(-0.971078\pi\)
0.576516 + 0.817086i \(0.304412\pi\)
\(588\) 0.500000 0.133975i 0.0206197 0.00552502i
\(589\) −7.81089 4.50962i −0.321842 0.185816i
\(590\) −12.0263 + 13.5622i −0.495114 + 0.558346i
\(591\) 12.2679i 0.504636i
\(592\) 5.00000 + 3.46410i 0.205499 + 0.142374i
\(593\) −1.33975 1.33975i −0.0550168 0.0550168i 0.679063 0.734080i \(-0.262386\pi\)
−0.734080 + 0.679063i \(0.762386\pi\)
\(594\) 5.73205 + 1.53590i 0.235189 + 0.0630187i
\(595\) 26.0000 + 5.32051i 1.06590 + 0.218120i
\(596\) −16.6865 9.63397i −0.683507 0.394623i
\(597\) 4.91858 + 2.83975i 0.201304 + 0.116223i
\(598\) −26.7846 −1.09530
\(599\) −36.6051 21.1340i −1.49564 0.863511i −0.495657 0.868518i \(-0.665073\pi\)
−0.999987 + 0.00500751i \(0.998406\pi\)
\(600\) 2.56218 + 0.366025i 0.104600 + 0.0149429i
\(601\) −1.79423 3.10770i −0.0731881 0.126766i 0.827109 0.562042i \(-0.189984\pi\)
−0.900297 + 0.435276i \(0.856651\pi\)
\(602\) 22.0000 22.0000i 0.896653 0.896653i
\(603\) 27.1244 27.1244i 1.10459 1.10459i
\(604\) 6.23205 3.59808i 0.253579 0.146404i
\(605\) −13.0622 + 8.62436i −0.531053 + 0.350630i
\(606\) −3.73205 3.73205i −0.151604 0.151604i
\(607\) 12.0263 + 20.8301i 0.488132 + 0.845469i 0.999907 0.0136506i \(-0.00434526\pi\)
−0.511775 + 0.859119i \(0.671012\pi\)
\(608\) −0.901924 + 3.36603i −0.0365778 + 0.136510i
\(609\) −0.679492 + 2.53590i −0.0275344 + 0.102760i
\(610\) −14.6603 3.00000i −0.593576 0.121466i
\(611\) −6.85641 25.5885i −0.277381 1.03520i
\(612\) 5.73205 + 9.92820i 0.231704 + 0.401324i
\(613\) −42.6147 11.4186i −1.72119 0.461192i −0.743069 0.669215i \(-0.766631\pi\)
−0.978124 + 0.208023i \(0.933297\pi\)
\(614\) 8.93782 33.3564i 0.360701 1.34616i
\(615\) 0.169873 + 0.509619i 0.00684994 + 0.0205498i
\(616\) 5.46410 1.46410i 0.220155 0.0589903i
\(617\) 8.95448 33.4186i 0.360494 1.34538i −0.512934 0.858428i \(-0.671441\pi\)
0.873428 0.486953i \(-0.161892\pi\)
\(618\) 1.53590 + 1.53590i 0.0617829 + 0.0617829i
\(619\) 26.9282 1.08234 0.541168 0.840915i \(-0.317982\pi\)
0.541168 + 0.840915i \(0.317982\pi\)
\(620\) −3.83975 + 4.33013i −0.154208 + 0.173902i
\(621\) 12.5885 + 12.5885i 0.505157 + 0.505157i
\(622\) 27.0885 7.25833i 1.08615 0.291033i
\(623\) 36.7846i 1.47374i
\(624\) −0.598076 2.23205i −0.0239422 0.0893535i
\(625\) −17.2846 18.0622i −0.691384 0.722487i
\(626\) 5.26795 9.12436i 0.210550 0.364683i
\(627\) −3.12436 + 1.80385i −0.124775 + 0.0720387i
\(628\) −12.6340 + 12.6340i −0.504150 + 0.504150i
\(629\) −14.5359 + 20.9808i −0.579584 + 0.836558i
\(630\) −5.46410 16.3923i −0.217695 0.653085i
\(631\) 7.06218 26.3564i 0.281141 1.04923i −0.670473 0.741934i \(-0.733909\pi\)
0.951613 0.307298i \(-0.0994247\pi\)
\(632\) −6.83013 + 1.83013i −0.271688 + 0.0727985i
\(633\) 0.535898 + 2.00000i 0.0213000 + 0.0794929i
\(634\) 29.1865 7.82051i 1.15915 0.310592i
\(635\) −1.39230 + 0.464102i −0.0552519 + 0.0184173i
\(636\) −3.13397 + 5.42820i −0.124270 + 0.215242i
\(637\) 4.46410i 0.176874i
\(638\) −0.928203 + 3.46410i −0.0367479 + 0.137145i
\(639\) 29.8564i 1.18110i
\(640\) 2.00000 + 1.00000i 0.0790569 + 0.0395285i
\(641\) 3.99038 + 6.91154i 0.157611 + 0.272990i 0.934007 0.357256i \(-0.116288\pi\)
−0.776396 + 0.630245i \(0.782954\pi\)
\(642\) 0.741670 + 0.428203i 0.0292714 + 0.0168998i
\(643\) 0.267949i 0.0105669i −0.999986 0.00528344i \(-0.998318\pi\)
0.999986 0.00528344i \(-0.00168178\pi\)
\(644\) 16.3923 + 4.39230i 0.645947 + 0.173081i
\(645\) 9.52628 + 8.44744i 0.375097 + 0.332618i
\(646\) −14.1244 3.78461i −0.555715 0.148903i
\(647\) 10.2224 17.7058i 0.401885 0.696086i −0.592068 0.805888i \(-0.701688\pi\)
0.993953 + 0.109802i \(0.0350217\pi\)
\(648\) 3.33013 5.76795i 0.130820 0.226586i
\(649\) −15.6603 4.19615i −0.614719 0.164713i
\(650\) −8.76795 + 20.5263i −0.343907 + 0.805107i
\(651\) −3.66025 0.980762i −0.143457 0.0384391i
\(652\) 10.4641i 0.409806i
\(653\) −28.7942 16.6244i −1.12681 0.650561i −0.183676 0.982987i \(-0.558800\pi\)
−0.943129 + 0.332426i \(0.892133\pi\)
\(654\) 1.00000 + 1.73205i 0.0391031 + 0.0677285i
\(655\) −7.46410 22.3923i −0.291647 0.874940i
\(656\) 0.464102i 0.0181201i
\(657\) 0 0
\(658\) 16.7846i 0.654332i
\(659\) 0.392305 0.679492i 0.0152820 0.0264692i −0.858283 0.513176i \(-0.828469\pi\)
0.873565 + 0.486707i \(0.161802\pi\)
\(660\) 0.732051 + 2.19615i 0.0284950 + 0.0854851i
\(661\) −33.4186 + 8.95448i −1.29983 + 0.348289i −0.841387 0.540433i \(-0.818260\pi\)
−0.458446 + 0.888723i \(0.651594\pi\)
\(662\) 2.09808 + 7.83013i 0.0815440 + 0.304327i
\(663\) 9.36603 2.50962i 0.363746 0.0974655i
\(664\) −3.43782 + 12.8301i −0.133413 + 0.497905i
\(665\) 19.7128 + 9.85641i 0.764430 + 0.382215i
\(666\) 16.5622 + 1.36603i 0.641771 + 0.0529324i
\(667\) −7.60770 + 7.60770i −0.294571 + 0.294571i
\(668\) 14.9545 8.63397i 0.578606 0.334059i
\(669\) −0.339746 + 0.588457i −0.0131353 + 0.0227511i
\(670\) 30.7583 + 6.29423i 1.18830 + 0.243167i
\(671\) −3.46410 12.9282i −0.133730 0.499088i
\(672\) 1.46410i 0.0564789i
\(673\) −16.8301 + 4.50962i −0.648754 + 0.173833i −0.568165 0.822914i \(-0.692347\pi\)
−0.0805884 + 0.996747i \(0.525680\pi\)
\(674\) 12.4641 + 12.4641i 0.480099 + 0.480099i
\(675\) 13.7679 5.52628i 0.529929 0.212707i
\(676\) 6.92820 0.266469
\(677\) −9.39230 9.39230i −0.360976 0.360976i 0.503196 0.864172i \(-0.332157\pi\)
−0.864172 + 0.503196i \(0.832157\pi\)
\(678\) 0.803848 3.00000i 0.0308716 0.115214i
\(679\) −14.9282 + 4.00000i −0.572892 + 0.153506i
\(680\) −4.19615 + 8.39230i −0.160915 + 0.321830i
\(681\) 1.96410 7.33013i 0.0752645 0.280891i
\(682\) −5.00000 1.33975i −0.191460 0.0513015i
\(683\) 3.69615 + 6.40192i 0.141429 + 0.244963i 0.928035 0.372493i \(-0.121497\pi\)
−0.786606 + 0.617456i \(0.788164\pi\)
\(684\) 2.46410 + 9.19615i 0.0942173 + 0.351624i
\(685\) −1.26795 + 6.19615i −0.0484458 + 0.236743i
\(686\) −4.39230 + 16.3923i −0.167699 + 0.625861i
\(687\) −0.0455173 + 0.169873i −0.00173659 + 0.00648106i
\(688\) 5.50000 + 9.52628i 0.209686 + 0.363186i
\(689\) −38.2224 38.2224i −1.45616 1.45616i
\(690\) −1.39230 + 6.80385i −0.0530041 + 0.259018i
\(691\) 2.24167 1.29423i 0.0852771 0.0492348i −0.456755 0.889593i \(-0.650988\pi\)
0.542032 + 0.840358i \(0.317655\pi\)
\(692\) 6.80385 6.80385i 0.258643 0.258643i
\(693\) 10.9282 10.9282i 0.415128 0.415128i
\(694\) 3.92820 + 6.80385i 0.149113 + 0.258271i
\(695\) −5.85641 2.92820i −0.222146 0.111073i
\(696\) −0.803848 0.464102i −0.0304698 0.0175917i
\(697\) −1.94744 −0.0737646
\(698\) −25.9019 14.9545i −0.980402 0.566036i
\(699\) −7.51666 4.33975i −0.284306 0.164144i
\(700\) 8.73205 11.1244i 0.330040 0.420461i
\(701\) −27.4904 7.36603i −1.03830 0.278211i −0.300890 0.953659i \(-0.597284\pi\)
−0.737408 + 0.675448i \(0.763950\pi\)
\(702\) −9.36603 9.36603i −0.353498 0.353498i
\(703\) −16.1699 + 13.7058i −0.609858 + 0.516923i
\(704\) 2.00000i 0.0753778i
\(705\) −6.85641 + 0.411543i −0.258227 + 0.0154996i
\(706\) 7.60770 + 4.39230i 0.286319 + 0.165307i
\(707\) −27.8564 + 7.46410i −1.04765 + 0.280716i
\(708\) 2.09808 3.63397i 0.0788505 0.136573i
\(709\) 33.9282 + 33.9282i 1.27420 + 1.27420i 0.943863 + 0.330338i \(0.107163\pi\)
0.330338 + 0.943863i \(0.392837\pi\)
\(710\) −20.3923 + 13.4641i −0.765310 + 0.505299i
\(711\) −13.6603 + 13.6603i −0.512300 + 0.512300i
\(712\) 12.5622 + 3.36603i 0.470788 + 0.126147i
\(713\) −10.9808 10.9808i −0.411233 0.411233i
\(714\) −6.14359 −0.229918
\(715\) −19.9282 + 1.19615i −0.745273 + 0.0447336i
\(716\) −3.80385 14.1962i −0.142156 0.530535i
\(717\) −12.3397 −0.460836
\(718\) 15.0622 8.69615i 0.562115 0.324538i
\(719\) 30.5718 17.6506i 1.14014 0.658258i 0.193671 0.981066i \(-0.437960\pi\)
0.946464 + 0.322809i \(0.104627\pi\)
\(720\) 6.09808 0.366025i 0.227262 0.0136410i
\(721\) 11.4641 3.07180i 0.426945 0.114400i
\(722\) 5.93782 + 3.42820i 0.220983 + 0.127585i
\(723\) 1.77757 1.02628i 0.0661085 0.0381677i
\(724\) 12.0981 + 20.9545i 0.449621 + 0.778767i
\(725\) 3.33975 + 8.32051i 0.124035 + 0.309016i
\(726\) 2.56218 2.56218i 0.0950913 0.0950913i
\(727\) 14.3205 24.8038i 0.531118 0.919924i −0.468222 0.883611i \(-0.655105\pi\)
0.999340 0.0363130i \(-0.0115613\pi\)
\(728\) −12.1962 3.26795i −0.452019 0.121118i
\(729\) 13.5885i 0.503276i
\(730\) 0 0
\(731\) −39.9737 + 23.0788i −1.47848 + 0.853602i
\(732\) 3.46410 0.128037
\(733\) 4.88269 + 18.2224i 0.180346 + 0.673061i 0.995579 + 0.0939276i \(0.0299422\pi\)
−0.815233 + 0.579133i \(0.803391\pi\)
\(734\) −18.5359 + 18.5359i −0.684172 + 0.684172i
\(735\) 1.13397 + 0.232051i 0.0418273 + 0.00855932i
\(736\) −3.00000 + 5.19615i −0.110581 + 0.191533i
\(737\) 7.26795 + 27.1244i 0.267718 + 0.999138i
\(738\) 0.633975 + 1.09808i 0.0233369 + 0.0404207i
\(739\) −7.80385 −0.287069 −0.143535 0.989645i \(-0.545847\pi\)
−0.143535 + 0.989645i \(0.545847\pi\)
\(740\) 6.53590 + 11.9282i 0.240264 + 0.438489i
\(741\) 8.05256 0.295818
\(742\) 17.1244 + 29.6603i 0.628655 + 1.08886i
\(743\) −8.97372 33.4904i −0.329214 1.22864i −0.910007 0.414592i \(-0.863924\pi\)
0.580794 0.814051i \(-0.302742\pi\)
\(744\) 0.669873 1.16025i 0.0245587 0.0425370i
\(745\) −23.7391 35.9545i −0.869733 1.31727i
\(746\) 18.7583 18.7583i 0.686791 0.686791i
\(747\) 9.39230 + 35.0526i 0.343646 + 1.28251i
\(748\) −8.39230 −0.306853
\(749\) 4.05256 2.33975i 0.148077 0.0854925i
\(750\) 4.75833 + 3.29423i 0.173750 + 0.120288i
\(751\) 32.1769i 1.17415i 0.809532 + 0.587076i \(0.199721\pi\)
−0.809532 + 0.587076i \(0.800279\pi\)
\(752\) −5.73205 1.53590i −0.209026 0.0560085i
\(753\) −0.830127 + 1.43782i −0.0302515 + 0.0523972i
\(754\) 5.66025 5.66025i 0.206134 0.206134i
\(755\) 16.0622 0.964102i 0.584563 0.0350873i
\(756\) 4.19615 + 7.26795i 0.152613 + 0.264333i
\(757\) −14.7224 + 8.50000i −0.535096 + 0.308938i −0.743089 0.669193i \(-0.766640\pi\)
0.207993 + 0.978130i \(0.433307\pi\)
\(758\) −18.5885 10.7321i −0.675163 0.389806i
\(759\) −6.00000 + 1.60770i −0.217786 + 0.0583556i
\(760\) −5.16987 + 5.83013i −0.187531 + 0.211481i
\(761\) −9.46410 + 5.46410i −0.343073 + 0.198074i −0.661630 0.749830i \(-0.730135\pi\)
0.318557 + 0.947904i \(0.396802\pi\)
\(762\) 0.294229 0.169873i 0.0106588 0.00615385i
\(763\) 10.9282 0.395628
\(764\) 2.50000 + 9.33013i 0.0904468 + 0.337552i
\(765\) 1.53590 + 25.5885i 0.0555305 + 0.925153i
\(766\) −8.53590 −0.308415
\(767\) 25.5885 + 25.5885i 0.923946 + 0.923946i
\(768\) −0.500000 0.133975i −0.0180422 0.00483439i
\(769\) −20.0718 + 20.0718i −0.723808 + 0.723808i −0.969379 0.245571i \(-0.921025\pi\)
0.245571 + 0.969379i \(0.421025\pi\)