Properties

Label 570.2.u.b.61.1
Level $570$
Weight $2$
Character 570.61
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 61.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 570.61
Dual form 570.2.u.b.271.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(0.173648 + 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.766044 + 0.642788i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(-2.11334 + 3.66041i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(0.173648 + 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.766044 + 0.642788i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(-2.11334 + 3.66041i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(-0.939693 + 0.342020i) q^{10} +(1.06031 + 1.83651i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.868241 - 4.92404i) q^{13} +(-3.23783 + 2.71686i) q^{14} +(-0.766044 - 0.642788i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-3.10607 - 1.13052i) q^{17} -1.00000 q^{18} +(-3.93969 + 1.86516i) q^{19} -1.00000 q^{20} +(-3.97178 - 1.44561i) q^{21} +(0.368241 + 2.08840i) q^{22} +(3.08125 + 2.58548i) q^{23} +(-0.766044 + 0.642788i) q^{24} +(0.173648 - 0.984808i) q^{25} +(2.50000 - 4.33013i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-3.97178 + 1.44561i) q^{28} +(2.53209 - 0.921605i) q^{29} +(-0.500000 - 0.866025i) q^{30} +(-5.29086 + 9.16404i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-1.62449 + 1.36310i) q^{33} +(-2.53209 - 2.12467i) q^{34} +(-0.733956 - 4.16247i) q^{35} +(-0.939693 - 0.342020i) q^{36} +10.4757 q^{37} +(-4.34002 + 0.405223i) q^{38} +5.00000 q^{39} +(-0.939693 - 0.342020i) q^{40} +(1.69594 + 9.61814i) q^{41} +(-3.23783 - 2.71686i) q^{42} +(4.94356 - 4.14814i) q^{43} +(-0.368241 + 2.08840i) q^{44} +(0.500000 - 0.866025i) q^{45} +(2.01114 + 3.48340i) q^{46} +(8.35117 - 3.03958i) q^{47} +(-0.939693 + 0.342020i) q^{48} +(-5.43242 - 9.40923i) q^{49} +(0.500000 - 0.866025i) q^{50} +(0.573978 - 3.25519i) q^{51} +(3.83022 - 3.21394i) q^{52} +(6.05303 + 5.07910i) q^{53} +(-0.173648 - 0.984808i) q^{54} +(-1.99273 - 0.725293i) q^{55} -4.22668 q^{56} +(-2.52094 - 3.55596i) q^{57} +2.69459 q^{58} +(8.92514 + 3.24849i) q^{59} +(-0.173648 - 0.984808i) q^{60} +(-9.88713 - 8.29628i) q^{61} +(-8.10607 + 6.80180i) q^{62} +(0.733956 - 4.16247i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(2.50000 + 4.33013i) q^{65} +(-1.99273 + 0.725293i) q^{66} +(2.57398 - 0.936851i) q^{67} +(-1.65270 - 2.86257i) q^{68} +(-2.01114 + 3.48340i) q^{69} +(0.733956 - 4.16247i) q^{70} +(-7.04189 + 5.90885i) q^{71} +(-0.766044 - 0.642788i) q^{72} +(0.0983261 + 0.557635i) q^{73} +(9.84389 + 3.58288i) q^{74} +1.00000 q^{75} +(-4.21688 - 1.10359i) q^{76} -8.96316 q^{77} +(4.69846 + 1.71010i) q^{78} +(-2.24123 - 12.7106i) q^{79} +(-0.766044 - 0.642788i) q^{80} +(0.766044 - 0.642788i) q^{81} +(-1.69594 + 9.61814i) q^{82} +(3.41147 - 5.90885i) q^{83} +(-2.11334 - 3.66041i) q^{84} +(3.10607 - 1.13052i) q^{85} +(6.06418 - 2.20718i) q^{86} +(1.34730 + 2.33359i) q^{87} +(-1.06031 + 1.83651i) q^{88} +(1.42215 - 8.06542i) q^{89} +(0.766044 - 0.642788i) q^{90} +(16.1891 + 13.5843i) q^{91} +(0.698463 + 3.96118i) q^{92} +(-9.94356 - 3.61916i) q^{93} +8.88713 q^{94} +(1.81908 - 3.96118i) q^{95} -1.00000 q^{96} +(7.83750 + 2.85262i) q^{97} +(-1.88666 - 10.6998i) q^{98} +(-1.62449 - 1.36310i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 6q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 6q^{7} + 3q^{8} + 12q^{11} - 3q^{12} + 6q^{17} - 6q^{18} - 18q^{19} - 6q^{20} - 9q^{21} - 3q^{22} + 21q^{23} + 15q^{26} - 3q^{27} - 9q^{28} + 6q^{29} - 3q^{30} + 3q^{33} - 6q^{34} - 9q^{35} + 24q^{37} - 6q^{38} + 30q^{39} - 3q^{41} + 3q^{44} + 3q^{45} + 6q^{46} + 24q^{47} - 9q^{49} + 3q^{50} - 12q^{51} + 24q^{53} + 6q^{55} - 12q^{56} - 12q^{57} + 12q^{58} + 12q^{59} - 24q^{62} + 9q^{63} - 3q^{64} + 15q^{65} + 6q^{66} - 12q^{68} - 6q^{69} + 9q^{70} - 36q^{71} + 24q^{73} + 15q^{74} + 6q^{75} - 9q^{76} - 30q^{77} - 36q^{79} + 3q^{82} - 6q^{84} - 6q^{85} + 18q^{86} + 6q^{87} - 12q^{88} + 48q^{89} - 24q^{92} - 30q^{93} - 6q^{94} - 6q^{95} - 6q^{96} + 42q^{97} - 18q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) 0.173648 + 0.984808i 0.100256 + 0.568579i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.766044 + 0.642788i −0.342585 + 0.287463i
\(6\) −0.173648 + 0.984808i −0.0708916 + 0.402046i
\(7\) −2.11334 + 3.66041i −0.798768 + 1.38351i 0.121651 + 0.992573i \(0.461181\pi\)
−0.920419 + 0.390933i \(0.872152\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −0.939693 + 0.342020i −0.313231 + 0.114007i
\(10\) −0.939693 + 0.342020i −0.297157 + 0.108156i
\(11\) 1.06031 + 1.83651i 0.319695 + 0.553727i 0.980424 0.196897i \(-0.0630863\pi\)
−0.660730 + 0.750624i \(0.729753\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 0.868241 4.92404i 0.240807 1.36568i −0.589226 0.807968i \(-0.700567\pi\)
0.830033 0.557714i \(-0.188322\pi\)
\(14\) −3.23783 + 2.71686i −0.865345 + 0.726111i
\(15\) −0.766044 0.642788i −0.197792 0.165967i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −3.10607 1.13052i −0.753332 0.274190i −0.0633248 0.997993i \(-0.520170\pi\)
−0.690007 + 0.723803i \(0.742393\pi\)
\(18\) −1.00000 −0.235702
\(19\) −3.93969 + 1.86516i −0.903827 + 0.427897i
\(20\) −1.00000 −0.223607
\(21\) −3.97178 1.44561i −0.866714 0.315458i
\(22\) 0.368241 + 2.08840i 0.0785092 + 0.445248i
\(23\) 3.08125 + 2.58548i 0.642485 + 0.539109i 0.904780 0.425878i \(-0.140035\pi\)
−0.262295 + 0.964988i \(0.584479\pi\)
\(24\) −0.766044 + 0.642788i −0.156368 + 0.131208i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) 2.50000 4.33013i 0.490290 0.849208i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) −3.97178 + 1.44561i −0.750596 + 0.273195i
\(29\) 2.53209 0.921605i 0.470197 0.171138i −0.0960445 0.995377i \(-0.530619\pi\)
0.566242 + 0.824239i \(0.308397\pi\)
\(30\) −0.500000 0.866025i −0.0912871 0.158114i
\(31\) −5.29086 + 9.16404i −0.950266 + 1.64591i −0.205420 + 0.978674i \(0.565856\pi\)
−0.744847 + 0.667236i \(0.767477\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) −1.62449 + 1.36310i −0.282787 + 0.237286i
\(34\) −2.53209 2.12467i −0.434250 0.364379i
\(35\) −0.733956 4.16247i −0.124061 0.703586i
\(36\) −0.939693 0.342020i −0.156615 0.0570034i
\(37\) 10.4757 1.72219 0.861093 0.508447i \(-0.169780\pi\)
0.861093 + 0.508447i \(0.169780\pi\)
\(38\) −4.34002 + 0.405223i −0.704045 + 0.0657358i
\(39\) 5.00000 0.800641
\(40\) −0.939693 0.342020i −0.148578 0.0540781i
\(41\) 1.69594 + 9.61814i 0.264861 + 1.50210i 0.769431 + 0.638730i \(0.220540\pi\)
−0.504570 + 0.863371i \(0.668349\pi\)
\(42\) −3.23783 2.71686i −0.499607 0.419220i
\(43\) 4.94356 4.14814i 0.753886 0.632586i −0.182641 0.983180i \(-0.558465\pi\)
0.936528 + 0.350594i \(0.114020\pi\)
\(44\) −0.368241 + 2.08840i −0.0555144 + 0.314838i
\(45\) 0.500000 0.866025i 0.0745356 0.129099i
\(46\) 2.01114 + 3.48340i 0.296527 + 0.513600i
\(47\) 8.35117 3.03958i 1.21814 0.443368i 0.348622 0.937264i \(-0.386650\pi\)
0.869521 + 0.493896i \(0.164428\pi\)
\(48\) −0.939693 + 0.342020i −0.135633 + 0.0493664i
\(49\) −5.43242 9.40923i −0.776060 1.34418i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 0.573978 3.25519i 0.0803730 0.455818i
\(52\) 3.83022 3.21394i 0.531156 0.445693i
\(53\) 6.05303 + 5.07910i 0.831448 + 0.697668i 0.955623 0.294593i \(-0.0951839\pi\)
−0.124175 + 0.992260i \(0.539628\pi\)
\(54\) −0.173648 0.984808i −0.0236305 0.134015i
\(55\) −1.99273 0.725293i −0.268699 0.0977985i
\(56\) −4.22668 −0.564814
\(57\) −2.52094 3.55596i −0.333907 0.470998i
\(58\) 2.69459 0.353817
\(59\) 8.92514 + 3.24849i 1.16195 + 0.422917i 0.849795 0.527113i \(-0.176725\pi\)
0.312159 + 0.950030i \(0.398948\pi\)
\(60\) −0.173648 0.984808i −0.0224179 0.127138i
\(61\) −9.88713 8.29628i −1.26592 1.06223i −0.995026 0.0996203i \(-0.968237\pi\)
−0.270891 0.962610i \(-0.587318\pi\)
\(62\) −8.10607 + 6.80180i −1.02947 + 0.863829i
\(63\) 0.733956 4.16247i 0.0924697 0.524422i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 2.50000 + 4.33013i 0.310087 + 0.537086i
\(66\) −1.99273 + 0.725293i −0.245288 + 0.0892774i
\(67\) 2.57398 0.936851i 0.314461 0.114455i −0.179968 0.983673i \(-0.557599\pi\)
0.494429 + 0.869218i \(0.335377\pi\)
\(68\) −1.65270 2.86257i −0.200420 0.347137i
\(69\) −2.01114 + 3.48340i −0.242113 + 0.419353i
\(70\) 0.733956 4.16247i 0.0877245 0.497510i
\(71\) −7.04189 + 5.90885i −0.835718 + 0.701251i −0.956596 0.291416i \(-0.905874\pi\)
0.120878 + 0.992667i \(0.461429\pi\)
\(72\) −0.766044 0.642788i −0.0902792 0.0757532i
\(73\) 0.0983261 + 0.557635i 0.0115082 + 0.0652662i 0.990021 0.140920i \(-0.0450059\pi\)
−0.978513 + 0.206186i \(0.933895\pi\)
\(74\) 9.84389 + 3.58288i 1.14433 + 0.416502i
\(75\) 1.00000 0.115470
\(76\) −4.21688 1.10359i −0.483709 0.126590i
\(77\) −8.96316 −1.02145
\(78\) 4.69846 + 1.71010i 0.531996 + 0.193631i
\(79\) −2.24123 12.7106i −0.252158 1.43006i −0.803264 0.595624i \(-0.796905\pi\)
0.551106 0.834436i \(-0.314206\pi\)
\(80\) −0.766044 0.642788i −0.0856464 0.0718658i
\(81\) 0.766044 0.642788i 0.0851160 0.0714208i
\(82\) −1.69594 + 9.61814i −0.187285 + 1.06215i
\(83\) 3.41147 5.90885i 0.374458 0.648580i −0.615788 0.787912i \(-0.711162\pi\)
0.990246 + 0.139332i \(0.0444955\pi\)
\(84\) −2.11334 3.66041i −0.230584 0.399384i
\(85\) 3.10607 1.13052i 0.336900 0.122622i
\(86\) 6.06418 2.20718i 0.653917 0.238006i
\(87\) 1.34730 + 2.33359i 0.144445 + 0.250187i
\(88\) −1.06031 + 1.83651i −0.113029 + 0.195772i
\(89\) 1.42215 8.06542i 0.150748 0.854933i −0.811823 0.583903i \(-0.801525\pi\)
0.962571 0.271030i \(-0.0873642\pi\)
\(90\) 0.766044 0.642788i 0.0807482 0.0677558i
\(91\) 16.1891 + 13.5843i 1.69708 + 1.42402i
\(92\) 0.698463 + 3.96118i 0.0728198 + 0.412982i
\(93\) −9.94356 3.61916i −1.03110 0.375290i
\(94\) 8.88713 0.916637
\(95\) 1.81908 3.96118i 0.186633 0.406409i
\(96\) −1.00000 −0.102062
\(97\) 7.83750 + 2.85262i 0.795777 + 0.289639i 0.707735 0.706478i \(-0.249717\pi\)
0.0880417 + 0.996117i \(0.471939\pi\)
\(98\) −1.88666 10.6998i −0.190581 1.08084i
\(99\) −1.62449 1.36310i −0.163267 0.136997i
\(100\) 0.766044 0.642788i 0.0766044 0.0642788i
\(101\) 0.0368366 0.208911i 0.00366538 0.0207874i −0.982920 0.184032i \(-0.941085\pi\)
0.986586 + 0.163245i \(0.0521960\pi\)
\(102\) 1.65270 2.86257i 0.163642 0.283436i
\(103\) −4.80793 8.32759i −0.473740 0.820541i 0.525808 0.850603i \(-0.323763\pi\)
−0.999548 + 0.0300618i \(0.990430\pi\)
\(104\) 4.69846 1.71010i 0.460722 0.167689i
\(105\) 3.97178 1.44561i 0.387606 0.141077i
\(106\) 3.95084 + 6.84305i 0.383739 + 0.664656i
\(107\) −6.00000 + 10.3923i −0.580042 + 1.00466i 0.415432 + 0.909624i \(0.363630\pi\)
−0.995474 + 0.0950377i \(0.969703\pi\)
\(108\) 0.173648 0.984808i 0.0167093 0.0947632i
\(109\) −5.04189 + 4.23065i −0.482925 + 0.405223i −0.851483 0.524382i \(-0.824296\pi\)
0.368557 + 0.929605i \(0.379852\pi\)
\(110\) −1.62449 1.36310i −0.154889 0.129967i
\(111\) 1.81908 + 10.3165i 0.172659 + 0.979199i
\(112\) −3.97178 1.44561i −0.375298 0.136597i
\(113\) 2.08378 0.196025 0.0980127 0.995185i \(-0.468751\pi\)
0.0980127 + 0.995185i \(0.468751\pi\)
\(114\) −1.15270 4.20372i −0.107961 0.393715i
\(115\) −4.02229 −0.375080
\(116\) 2.53209 + 0.921605i 0.235099 + 0.0855689i
\(117\) 0.868241 + 4.92404i 0.0802689 + 0.455228i
\(118\) 7.27584 + 6.10516i 0.669796 + 0.562025i
\(119\) 10.7023 8.98032i 0.981081 0.823225i
\(120\) 0.173648 0.984808i 0.0158518 0.0899002i
\(121\) 3.25150 5.63176i 0.295591 0.511978i
\(122\) −6.45336 11.1776i −0.584260 1.01197i
\(123\) −9.17752 + 3.34034i −0.827509 + 0.301189i
\(124\) −9.94356 + 3.61916i −0.892958 + 0.325010i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) 2.11334 3.66041i 0.188271 0.326096i
\(127\) 2.39306 13.5717i 0.212349 1.20429i −0.673098 0.739553i \(-0.735037\pi\)
0.885447 0.464740i \(-0.153852\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) 4.94356 + 4.14814i 0.435256 + 0.365224i
\(130\) 0.868241 + 4.92404i 0.0761498 + 0.431867i
\(131\) 18.3614 + 6.68302i 1.60425 + 0.583898i 0.980290 0.197562i \(-0.0633024\pi\)
0.623956 + 0.781460i \(0.285525\pi\)
\(132\) −2.12061 −0.184576
\(133\) 1.49866 18.3626i 0.129950 1.59224i
\(134\) 2.73917 0.236628
\(135\) 0.939693 + 0.342020i 0.0808759 + 0.0294364i
\(136\) −0.573978 3.25519i −0.0492182 0.279130i
\(137\) 16.5594 + 13.8950i 1.41477 + 1.18713i 0.954074 + 0.299572i \(0.0968438\pi\)
0.460694 + 0.887559i \(0.347601\pi\)
\(138\) −3.08125 + 2.58548i −0.262294 + 0.220090i
\(139\) −1.57738 + 8.94578i −0.133792 + 0.758771i 0.841902 + 0.539631i \(0.181436\pi\)
−0.975693 + 0.219140i \(0.929675\pi\)
\(140\) 2.11334 3.66041i 0.178610 0.309361i
\(141\) 4.44356 + 7.69648i 0.374216 + 0.648160i
\(142\) −8.63816 + 3.14403i −0.724898 + 0.263841i
\(143\) 9.96363 3.62646i 0.833201 0.303260i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −1.34730 + 2.33359i −0.111887 + 0.193794i
\(146\) −0.0983261 + 0.557635i −0.00813752 + 0.0461502i
\(147\) 8.32295 6.98378i 0.686465 0.576013i
\(148\) 8.02481 + 6.73362i 0.659636 + 0.553500i
\(149\) −2.80066 15.8833i −0.229439 1.30121i −0.854015 0.520249i \(-0.825839\pi\)
0.624576 0.780964i \(-0.285272\pi\)
\(150\) 0.939693 + 0.342020i 0.0767256 + 0.0279258i
\(151\) −19.7297 −1.60558 −0.802789 0.596263i \(-0.796652\pi\)
−0.802789 + 0.596263i \(0.796652\pi\)
\(152\) −3.58512 2.47929i −0.290792 0.201097i
\(153\) 3.30541 0.267226
\(154\) −8.42262 3.06558i −0.678714 0.247032i
\(155\) −1.83750 10.4210i −0.147591 0.837032i
\(156\) 3.83022 + 3.21394i 0.306663 + 0.257321i
\(157\) −3.52687 + 2.95940i −0.281475 + 0.236186i −0.772584 0.634912i \(-0.781036\pi\)
0.491109 + 0.871098i \(0.336592\pi\)
\(158\) 2.24123 12.7106i 0.178303 1.01120i
\(159\) −3.95084 + 6.84305i −0.313322 + 0.542689i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −15.9757 + 5.81466i −1.25906 + 0.458260i
\(162\) 0.939693 0.342020i 0.0738292 0.0268716i
\(163\) −3.06418 5.30731i −0.240005 0.415701i 0.720710 0.693236i \(-0.243816\pi\)
−0.960715 + 0.277535i \(0.910482\pi\)
\(164\) −4.88326 + 8.45805i −0.381318 + 0.660462i
\(165\) 0.368241 2.08840i 0.0286675 0.162582i
\(166\) 5.22668 4.38571i 0.405669 0.340397i
\(167\) 4.87346 + 4.08931i 0.377119 + 0.316441i 0.811570 0.584255i \(-0.198613\pi\)
−0.434451 + 0.900695i \(0.643058\pi\)
\(168\) −0.733956 4.16247i −0.0566259 0.321141i
\(169\) −11.2763 4.10424i −0.867409 0.315711i
\(170\) 3.30541 0.253513
\(171\) 3.06418 3.10013i 0.234324 0.237073i
\(172\) 6.45336 0.492064
\(173\) −14.2417 5.18355i −1.08278 0.394098i −0.261836 0.965112i \(-0.584328\pi\)
−0.820940 + 0.571014i \(0.806550\pi\)
\(174\) 0.467911 + 2.65366i 0.0354722 + 0.201173i
\(175\) 3.23783 + 2.71686i 0.244757 + 0.205375i
\(176\) −1.62449 + 1.36310i −0.122450 + 0.102748i
\(177\) −1.64930 + 9.35365i −0.123969 + 0.703063i
\(178\) 4.09492 7.09261i 0.306927 0.531614i
\(179\) 0.969255 + 1.67880i 0.0724455 + 0.125479i 0.899973 0.435947i \(-0.143586\pi\)
−0.827527 + 0.561426i \(0.810253\pi\)
\(180\) 0.939693 0.342020i 0.0700406 0.0254927i
\(181\) −11.3969 + 4.14814i −0.847127 + 0.308329i −0.728868 0.684654i \(-0.759953\pi\)
−0.118259 + 0.992983i \(0.537731\pi\)
\(182\) 10.5667 + 18.3021i 0.783256 + 1.35664i
\(183\) 6.45336 11.1776i 0.477046 0.826268i
\(184\) −0.698463 + 3.96118i −0.0514914 + 0.292022i
\(185\) −8.02481 + 6.73362i −0.589996 + 0.495066i
\(186\) −8.10607 6.80180i −0.594366 0.498732i
\(187\) −1.21719 6.90301i −0.0890095 0.504798i
\(188\) 8.35117 + 3.03958i 0.609071 + 0.221684i
\(189\) 4.22668 0.307446
\(190\) 3.06418 3.10013i 0.222299 0.224907i
\(191\) 6.53714 0.473011 0.236505 0.971630i \(-0.423998\pi\)
0.236505 + 0.971630i \(0.423998\pi\)
\(192\) −0.939693 0.342020i −0.0678165 0.0246832i
\(193\) 0.453363 + 2.57115i 0.0326338 + 0.185075i 0.996767 0.0803421i \(-0.0256013\pi\)
−0.964134 + 0.265418i \(0.914490\pi\)
\(194\) 6.38919 + 5.36116i 0.458717 + 0.384909i
\(195\) −3.83022 + 3.21394i −0.274288 + 0.230155i
\(196\) 1.88666 10.6998i 0.134761 0.764270i
\(197\) 0.144086 0.249563i 0.0102657 0.0177807i −0.860847 0.508864i \(-0.830066\pi\)
0.871113 + 0.491083i \(0.163399\pi\)
\(198\) −1.06031 1.83651i −0.0753528 0.130515i
\(199\) −8.79561 + 3.20134i −0.623504 + 0.226937i −0.634402 0.773004i \(-0.718753\pi\)
0.0108975 + 0.999941i \(0.496531\pi\)
\(200\) 0.939693 0.342020i 0.0664463 0.0241845i
\(201\) 1.36959 + 2.37219i 0.0966031 + 0.167321i
\(202\) 0.106067 0.183713i 0.00746284 0.0129260i
\(203\) −1.97771 + 11.2162i −0.138808 + 0.787220i
\(204\) 2.53209 2.12467i 0.177282 0.148757i
\(205\) −7.48158 6.27779i −0.522536 0.438460i
\(206\) −1.66978 9.46978i −0.116339 0.659791i
\(207\) −3.77972 1.37570i −0.262708 0.0956180i
\(208\) 5.00000 0.346688
\(209\) −7.60266 5.25763i −0.525887 0.363678i
\(210\) 4.22668 0.291669
\(211\) 23.0646 + 8.39484i 1.58784 + 0.577925i 0.976889 0.213747i \(-0.0685668\pi\)
0.610947 + 0.791672i \(0.290789\pi\)
\(212\) 1.37211 + 7.78163i 0.0942370 + 0.534445i
\(213\) −7.04189 5.90885i −0.482502 0.404867i
\(214\) −9.19253 + 7.71345i −0.628389 + 0.527281i
\(215\) −1.12061 + 6.35532i −0.0764253 + 0.433429i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) −22.3628 38.7335i −1.51808 2.62940i
\(218\) −6.18479 + 2.25108i −0.418887 + 0.152462i
\(219\) −0.532089 + 0.193665i −0.0359552 + 0.0130866i
\(220\) −1.06031 1.83651i −0.0714859 0.123817i
\(221\) −8.26352 + 14.3128i −0.555864 + 0.962785i
\(222\) −1.81908 + 10.3165i −0.122089 + 0.692398i
\(223\) 6.78699 5.69496i 0.454490 0.381363i −0.386609 0.922244i \(-0.626354\pi\)
0.841099 + 0.540881i \(0.181909\pi\)
\(224\) −3.23783 2.71686i −0.216336 0.181528i
\(225\) 0.173648 + 0.984808i 0.0115765 + 0.0656539i
\(226\) 1.95811 + 0.712694i 0.130252 + 0.0474077i
\(227\) −14.7939 −0.981902 −0.490951 0.871187i \(-0.663351\pi\)
−0.490951 + 0.871187i \(0.663351\pi\)
\(228\) 0.354570 4.34445i 0.0234820 0.287718i
\(229\) −0.0837781 −0.00553621 −0.00276811 0.999996i \(-0.500881\pi\)
−0.00276811 + 0.999996i \(0.500881\pi\)
\(230\) −3.77972 1.37570i −0.249227 0.0907112i
\(231\) −1.55644 8.82699i −0.102406 0.580773i
\(232\) 2.06418 + 1.73205i 0.135520 + 0.113715i
\(233\) 1.43376 1.20307i 0.0939289 0.0788157i −0.594614 0.804011i \(-0.702695\pi\)
0.688543 + 0.725196i \(0.258251\pi\)
\(234\) −0.868241 + 4.92404i −0.0567587 + 0.321894i
\(235\) −4.44356 + 7.69648i −0.289866 + 0.502063i
\(236\) 4.74897 + 8.22546i 0.309132 + 0.535432i
\(237\) 12.1284 4.41436i 0.787821 0.286744i
\(238\) 13.1284 4.77833i 0.850985 0.309733i
\(239\) 12.7665 + 22.1122i 0.825797 + 1.43032i 0.901309 + 0.433177i \(0.142608\pi\)
−0.0755117 + 0.997145i \(0.524059\pi\)
\(240\) 0.500000 0.866025i 0.0322749 0.0559017i
\(241\) −1.72028 + 9.75622i −0.110813 + 0.628453i 0.877925 + 0.478798i \(0.158927\pi\)
−0.988738 + 0.149655i \(0.952184\pi\)
\(242\) 4.98158 4.18004i 0.320228 0.268703i
\(243\) 0.766044 + 0.642788i 0.0491418 + 0.0412348i
\(244\) −2.24123 12.7106i −0.143480 0.813716i
\(245\) 10.2096 + 3.71599i 0.652268 + 0.237406i
\(246\) −9.76651 −0.622690
\(247\) 5.76352 + 21.0186i 0.366724 + 1.33738i
\(248\) −10.5817 −0.671940
\(249\) 6.41147 + 2.33359i 0.406311 + 0.147885i
\(250\) 0.173648 + 0.984808i 0.0109825 + 0.0622847i
\(251\) −4.14337 3.47670i −0.261527 0.219447i 0.502590 0.864525i \(-0.332381\pi\)
−0.764117 + 0.645078i \(0.776825\pi\)
\(252\) 3.23783 2.71686i 0.203964 0.171146i
\(253\) −1.48117 + 8.40014i −0.0931204 + 0.528112i
\(254\) 6.89053 11.9347i 0.432350 0.748853i
\(255\) 1.65270 + 2.86257i 0.103496 + 0.179261i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 0.972659 0.354019i 0.0606728 0.0220831i −0.311505 0.950244i \(-0.600833\pi\)
0.372178 + 0.928161i \(0.378611\pi\)
\(258\) 3.22668 + 5.58878i 0.200884 + 0.347942i
\(259\) −22.1386 + 38.3452i −1.37563 + 2.38266i
\(260\) −0.868241 + 4.92404i −0.0538460 + 0.305376i
\(261\) −2.06418 + 1.73205i −0.127769 + 0.107211i
\(262\) 14.9684 + 12.5600i 0.924749 + 0.775957i
\(263\) −2.94996 16.7301i −0.181902 1.03162i −0.929871 0.367885i \(-0.880082\pi\)
0.747969 0.663734i \(-0.231029\pi\)
\(264\) −1.99273 0.725293i −0.122644 0.0446387i
\(265\) −7.90167 −0.485396
\(266\) 7.68866 16.7427i 0.471422 1.02656i
\(267\) 8.18984 0.501210
\(268\) 2.57398 + 0.936851i 0.157231 + 0.0572273i
\(269\) −0.179740 1.01936i −0.0109589 0.0621513i 0.978838 0.204637i \(-0.0656015\pi\)
−0.989797 + 0.142486i \(0.954490\pi\)
\(270\) 0.766044 + 0.642788i 0.0466200 + 0.0391188i
\(271\) 13.1702 11.0511i 0.800035 0.671309i −0.148172 0.988962i \(-0.547339\pi\)
0.948207 + 0.317652i \(0.102894\pi\)
\(272\) 0.573978 3.25519i 0.0348025 0.197375i
\(273\) −10.5667 + 18.3021i −0.639526 + 1.10769i
\(274\) 10.8084 + 18.7207i 0.652959 + 1.13096i
\(275\) 1.99273 0.725293i 0.120166 0.0437368i
\(276\) −3.77972 + 1.37570i −0.227512 + 0.0828076i
\(277\) −0.110815 0.191936i −0.00665820 0.0115323i 0.862677 0.505755i \(-0.168786\pi\)
−0.869335 + 0.494223i \(0.835453\pi\)
\(278\) −4.54189 + 7.86678i −0.272404 + 0.471818i
\(279\) 1.83750 10.4210i 0.110008 0.623886i
\(280\) 3.23783 2.71686i 0.193497 0.162363i
\(281\) −1.92468 1.61500i −0.114817 0.0963426i 0.583572 0.812062i \(-0.301655\pi\)
−0.698388 + 0.715719i \(0.746099\pi\)
\(282\) 1.54323 + 8.75211i 0.0918982 + 0.521181i
\(283\) −0.532089 0.193665i −0.0316294 0.0115122i 0.326157 0.945316i \(-0.394246\pi\)
−0.357786 + 0.933803i \(0.616468\pi\)
\(284\) −9.19253 −0.545476
\(285\) 4.21688 + 1.10359i 0.249786 + 0.0653710i
\(286\) 10.6031 0.626973
\(287\) −38.7904 14.1186i −2.28973 0.833393i
\(288\) −0.173648 0.984808i −0.0102323 0.0580304i
\(289\) −4.65317 3.90447i −0.273716 0.229675i
\(290\) −2.06418 + 1.73205i −0.121213 + 0.101710i
\(291\) −1.44831 + 8.21378i −0.0849015 + 0.481500i
\(292\) −0.283119 + 0.490376i −0.0165683 + 0.0286971i
\(293\) −15.6951 27.1846i −0.916915 1.58814i −0.804073 0.594531i \(-0.797338\pi\)
−0.112842 0.993613i \(-0.535995\pi\)
\(294\) 10.2096 3.71599i 0.595436 0.216721i
\(295\) −8.92514 + 3.24849i −0.519642 + 0.189134i
\(296\) 5.23783 + 9.07218i 0.304442 + 0.527310i
\(297\) 1.06031 1.83651i 0.0615253 0.106565i
\(298\) 2.80066 15.8833i 0.162238 0.920097i
\(299\) 15.4063 12.9274i 0.890967 0.747610i
\(300\) 0.766044 + 0.642788i 0.0442276 + 0.0371114i
\(301\) 4.73648 + 26.8619i 0.273006 + 1.54830i
\(302\) −18.5398 6.74795i −1.06685 0.388301i
\(303\) 0.212134 0.0121868
\(304\) −2.52094 3.55596i −0.144586 0.203948i
\(305\) 12.9067 0.739037
\(306\) 3.10607 + 1.13052i 0.177562 + 0.0646273i
\(307\) −2.30810 13.0899i −0.131730 0.747078i −0.977081 0.212867i \(-0.931720\pi\)
0.845351 0.534211i \(-0.179391\pi\)
\(308\) −6.86618 5.76141i −0.391237 0.328287i
\(309\) 7.36618 6.18096i 0.419047 0.351623i
\(310\) 1.83750 10.4210i 0.104363 0.591871i
\(311\) 2.83750 4.91469i 0.160900 0.278686i −0.774292 0.632829i \(-0.781894\pi\)
0.935192 + 0.354142i \(0.115227\pi\)
\(312\) 2.50000 + 4.33013i 0.141535 + 0.245145i
\(313\) −12.0770 + 4.39566i −0.682631 + 0.248457i −0.659977 0.751286i \(-0.729434\pi\)
−0.0226541 + 0.999743i \(0.507212\pi\)
\(314\) −4.32635 + 1.57466i −0.244150 + 0.0888634i
\(315\) 2.11334 + 3.66041i 0.119073 + 0.206241i
\(316\) 6.45336 11.1776i 0.363030 0.628786i
\(317\) 1.19800 6.79417i 0.0672862 0.381599i −0.932505 0.361157i \(-0.882382\pi\)
0.999791 0.0204415i \(-0.00650718\pi\)
\(318\) −6.05303 + 5.07910i −0.339437 + 0.284822i
\(319\) 4.37733 + 3.67301i 0.245083 + 0.205649i
\(320\) −0.173648 0.984808i −0.00970723 0.0550524i
\(321\) −11.2763 4.10424i −0.629382 0.229076i
\(322\) −17.0009 −0.947425
\(323\) 14.3455 1.33943i 0.798207 0.0745277i
\(324\) 1.00000 0.0555556
\(325\) −4.69846 1.71010i −0.260624 0.0948593i
\(326\) −1.06418 6.03525i −0.0589394 0.334262i
\(327\) −5.04189 4.23065i −0.278817 0.233955i
\(328\) −7.48158 + 6.27779i −0.413101 + 0.346633i
\(329\) −6.52276 + 36.9924i −0.359611 + 2.03946i
\(330\) 1.06031 1.83651i 0.0583680 0.101096i
\(331\) 10.7096 + 18.5496i 0.588653 + 1.01958i 0.994409 + 0.105596i \(0.0336750\pi\)
−0.405756 + 0.913981i \(0.632992\pi\)
\(332\) 6.41147 2.33359i 0.351875 0.128072i
\(333\) −9.84389 + 3.58288i −0.539442 + 0.196341i
\(334\) 3.18092 + 5.50952i 0.174052 + 0.301467i
\(335\) −1.36959 + 2.37219i −0.0748284 + 0.129607i
\(336\) 0.733956 4.16247i 0.0400406 0.227081i
\(337\) −13.7365 + 11.5263i −0.748274 + 0.627876i −0.935046 0.354527i \(-0.884642\pi\)
0.186772 + 0.982403i \(0.440197\pi\)
\(338\) −9.19253 7.71345i −0.500008 0.419556i
\(339\) 0.361844 + 2.05212i 0.0196527 + 0.111456i
\(340\) 3.10607 + 1.13052i 0.168450 + 0.0613108i
\(341\) −22.4397 −1.21518
\(342\) 3.93969 1.86516i 0.213034 0.100856i
\(343\) 16.3354 0.882031
\(344\) 6.06418 + 2.20718i 0.326959 + 0.119003i
\(345\) −0.698463 3.96118i −0.0376040 0.213263i
\(346\) −11.6099 9.74189i −0.624154 0.523727i
\(347\) −9.03003 + 7.57709i −0.484757 + 0.406760i −0.852143 0.523309i \(-0.824697\pi\)
0.367386 + 0.930069i \(0.380253\pi\)
\(348\) −0.467911 + 2.65366i −0.0250827 + 0.142251i
\(349\) −0.120615 + 0.208911i −0.00645636 + 0.0111827i −0.869236 0.494398i \(-0.835388\pi\)
0.862779 + 0.505581i \(0.168722\pi\)
\(350\) 2.11334 + 3.66041i 0.112963 + 0.195657i
\(351\) −4.69846 + 1.71010i −0.250785 + 0.0912784i
\(352\) −1.99273 + 0.725293i −0.106213 + 0.0386582i
\(353\) 8.58172 + 14.8640i 0.456759 + 0.791129i 0.998787 0.0492306i \(-0.0156769\pi\)
−0.542029 + 0.840360i \(0.682344\pi\)
\(354\) −4.74897 + 8.22546i −0.252405 + 0.437178i
\(355\) 1.59627 9.05288i 0.0847210 0.480477i
\(356\) 6.27379 5.26433i 0.332510 0.279009i
\(357\) 10.7023 + 8.98032i 0.566428 + 0.475289i
\(358\) 0.336619 + 1.90906i 0.0177909 + 0.100897i
\(359\) −25.6459 9.33434i −1.35354 0.492648i −0.439488 0.898248i \(-0.644840\pi\)
−0.914050 + 0.405601i \(0.867062\pi\)
\(360\) 1.00000 0.0527046
\(361\) 12.0424 14.6963i 0.633808 0.773490i
\(362\) −12.1284 −0.637452
\(363\) 6.11081 + 2.22415i 0.320735 + 0.116738i
\(364\) 3.66978 + 20.8123i 0.192349 + 1.09086i
\(365\) −0.433763 0.363970i −0.0227042 0.0190511i
\(366\) 9.88713 8.29628i 0.516808 0.433654i
\(367\) −0.143619 + 0.814502i −0.00749683 + 0.0425167i −0.988327 0.152349i \(-0.951316\pi\)
0.980830 + 0.194866i \(0.0624272\pi\)
\(368\) −2.01114 + 3.48340i −0.104838 + 0.181585i
\(369\) −4.88326 8.45805i −0.254212 0.440308i
\(370\) −9.84389 + 3.58288i −0.511760 + 0.186265i
\(371\) −31.3837 + 11.4227i −1.62936 + 0.593039i
\(372\) −5.29086 9.16404i −0.274318 0.475133i
\(373\) −7.73190 + 13.3920i −0.400342 + 0.693413i −0.993767 0.111476i \(-0.964442\pi\)
0.593425 + 0.804890i \(0.297775\pi\)
\(374\) 1.21719 6.90301i 0.0629392 0.356946i
\(375\) −0.766044 + 0.642788i −0.0395584 + 0.0331934i
\(376\) 6.80793 + 5.71253i 0.351092 + 0.294601i
\(377\) −2.33956 13.2683i −0.120493 0.683351i
\(378\) 3.97178 + 1.44561i 0.204286 + 0.0743542i
\(379\) 15.3013 0.785974 0.392987 0.919544i \(-0.371442\pi\)
0.392987 + 0.919544i \(0.371442\pi\)
\(380\) 3.93969 1.86516i 0.202102 0.0956807i
\(381\) 13.7811 0.706025
\(382\) 6.14290 + 2.23583i 0.314298 + 0.114395i
\(383\) −2.15405 12.2162i −0.110067 0.624219i −0.989075 0.147413i \(-0.952905\pi\)
0.879008 0.476806i \(-0.158206\pi\)
\(384\) −0.766044 0.642788i −0.0390920 0.0328021i
\(385\) 6.86618 5.76141i 0.349933 0.293629i
\(386\) −0.453363 + 2.57115i −0.0230756 + 0.130868i
\(387\) −3.22668 + 5.58878i −0.164021 + 0.284093i
\(388\) 4.17024 + 7.22308i 0.211712 + 0.366696i
\(389\) 16.2344 5.90885i 0.823118 0.299590i 0.104087 0.994568i \(-0.466808\pi\)
0.719031 + 0.694978i \(0.244586\pi\)
\(390\) −4.69846 + 1.71010i −0.237916 + 0.0865943i
\(391\) −6.64765 11.5141i −0.336186 0.582292i
\(392\) 5.43242 9.40923i 0.274379 0.475238i
\(393\) −3.39306 + 19.2430i −0.171157 + 0.970680i
\(394\) 0.220752 0.185233i 0.0111213 0.00933189i
\(395\) 9.88713 + 8.29628i 0.497475 + 0.417431i
\(396\) −0.368241 2.08840i −0.0185048 0.104946i
\(397\) 1.76604 + 0.642788i 0.0886352 + 0.0322606i 0.385957 0.922517i \(-0.373871\pi\)
−0.297322 + 0.954777i \(0.596093\pi\)
\(398\) −9.36009 −0.469179
\(399\) 18.3439 1.71275i 0.918343 0.0857447i
\(400\) 1.00000 0.0500000
\(401\) −27.0428 9.84278i −1.35045 0.491525i −0.437365 0.899284i \(-0.644088\pi\)
−0.913090 + 0.407759i \(0.866310\pi\)
\(402\) 0.475652 + 2.69756i 0.0237234 + 0.134542i
\(403\) 40.5303 + 34.0090i 2.01896 + 1.69411i
\(404\) 0.162504 0.136357i 0.00808487 0.00678401i
\(405\) −0.173648 + 0.984808i −0.00862865 + 0.0489355i
\(406\) −5.69459 + 9.86332i −0.282618 + 0.489509i
\(407\) 11.1074 + 19.2386i 0.550574 + 0.953622i
\(408\) 3.10607 1.13052i 0.153773 0.0559689i
\(409\) 29.7511 10.8285i 1.47110 0.535435i 0.522698 0.852518i \(-0.324925\pi\)
0.948398 + 0.317082i \(0.102703\pi\)
\(410\) −4.88326 8.45805i −0.241167 0.417713i
\(411\) −10.8084 + 18.7207i −0.533139 + 0.923424i
\(412\) 1.66978 9.46978i 0.0822640 0.466543i
\(413\) −30.7527 + 25.8046i −1.51324 + 1.26976i
\(414\) −3.08125 2.58548i −0.151435 0.127069i
\(415\) 1.18479 + 6.71929i 0.0581592 + 0.329837i
\(416\) 4.69846 + 1.71010i 0.230361 + 0.0838446i
\(417\) −9.08378 −0.444835
\(418\) −5.34595 7.54082i −0.261479 0.368833i
\(419\) 3.04963 0.148984 0.0744921 0.997222i \(-0.476266\pi\)
0.0744921 + 0.997222i \(0.476266\pi\)
\(420\) 3.97178 + 1.44561i 0.193803 + 0.0705386i
\(421\) −0.837496 4.74968i −0.0408171 0.231485i 0.957574 0.288187i \(-0.0930526\pi\)
−0.998391 + 0.0567022i \(0.981941\pi\)
\(422\) 18.8025 + 15.7771i 0.915290 + 0.768019i
\(423\) −6.80793 + 5.71253i −0.331013 + 0.277753i
\(424\) −1.37211 + 7.78163i −0.0666356 + 0.377909i
\(425\) −1.65270 + 2.86257i −0.0801679 + 0.138855i
\(426\) −4.59627 7.96097i −0.222690 0.385710i
\(427\) 51.2627 18.6581i 2.48078 0.902929i
\(428\) −11.2763 + 4.10424i −0.545061 + 0.198386i
\(429\) 5.30154 + 9.18253i 0.255961 + 0.443337i
\(430\) −3.22668 + 5.58878i −0.155604 + 0.269515i
\(431\) 6.35504 36.0412i 0.306111 1.73604i −0.312116 0.950044i \(-0.601038\pi\)
0.618227 0.786000i \(-0.287851\pi\)
\(432\) 0.766044 0.642788i 0.0368563 0.0309261i
\(433\) −12.4757 10.4683i −0.599542 0.503075i 0.291757 0.956493i \(-0.405760\pi\)
−0.891298 + 0.453417i \(0.850205\pi\)
\(434\) −7.76651 44.0461i −0.372804 2.11428i
\(435\) −2.53209 0.921605i −0.121404 0.0441876i
\(436\) −6.58172 −0.315207
\(437\) −16.9615 4.43896i −0.811379 0.212344i
\(438\) −0.566237 −0.0270559
\(439\) −11.9709 4.35705i −0.571340 0.207951i 0.0401626 0.999193i \(-0.487212\pi\)
−0.611503 + 0.791242i \(0.709435\pi\)
\(440\) −0.368241 2.08840i −0.0175552 0.0995605i
\(441\) 8.32295 + 6.98378i 0.396331 + 0.332561i
\(442\) −12.6604 + 10.6234i −0.602196 + 0.505302i
\(443\) −2.51249 + 14.2490i −0.119372 + 0.676992i 0.865120 + 0.501564i \(0.167242\pi\)
−0.984492 + 0.175428i \(0.943869\pi\)
\(444\) −5.23783 + 9.07218i −0.248576 + 0.430547i
\(445\) 4.09492 + 7.09261i 0.194118 + 0.336222i
\(446\) 8.32547 3.03022i 0.394223 0.143485i
\(447\) 15.1557 5.51622i 0.716840 0.260908i
\(448\) −2.11334 3.66041i −0.0998460 0.172938i
\(449\) 7.57785 13.1252i 0.357621 0.619417i −0.629942 0.776642i \(-0.716921\pi\)
0.987563 + 0.157225i \(0.0502547\pi\)
\(450\) −0.173648 + 0.984808i −0.00818585 + 0.0464243i
\(451\) −15.8656 + 13.3128i −0.747080 + 0.626874i
\(452\) 1.59627 + 1.33943i 0.0750821 + 0.0630013i
\(453\) −3.42602 19.4299i −0.160969 0.912898i
\(454\) −13.9017 5.05980i −0.652438 0.237468i
\(455\) −21.1334 −0.990749
\(456\) 1.81908 3.96118i 0.0851861 0.185499i
\(457\) 11.6304 0.544048 0.272024 0.962290i \(-0.412307\pi\)
0.272024 + 0.962290i \(0.412307\pi\)
\(458\) −0.0787257 0.0286538i −0.00367861 0.00133890i
\(459\) 0.573978 + 3.25519i 0.0267910 + 0.151939i
\(460\) −3.08125 2.58548i −0.143664 0.120549i
\(461\) −16.2645 + 13.6475i −0.757511 + 0.635627i −0.937478 0.348045i \(-0.886845\pi\)
0.179967 + 0.983673i \(0.442401\pi\)
\(462\) 1.55644 8.82699i 0.0724120 0.410669i
\(463\) 15.8268 27.4129i 0.735535 1.27398i −0.218954 0.975735i \(-0.570264\pi\)
0.954488 0.298248i \(-0.0964023\pi\)
\(464\) 1.34730 + 2.33359i 0.0625467 + 0.108334i
\(465\) 9.94356 3.61916i 0.461122 0.167835i
\(466\) 1.75877 0.640140i 0.0814735 0.0296539i
\(467\) −8.33275 14.4327i −0.385594 0.667868i 0.606258 0.795268i \(-0.292670\pi\)
−0.991851 + 0.127400i \(0.959337\pi\)
\(468\) −2.50000 + 4.33013i −0.115563 + 0.200160i
\(469\) −2.01043 + 11.4017i −0.0928330 + 0.526482i
\(470\) −6.80793 + 5.71253i −0.314027 + 0.263500i
\(471\) −3.52687 2.95940i −0.162510 0.136362i
\(472\) 1.64930 + 9.35365i 0.0759152 + 0.430536i
\(473\) 12.8598 + 4.68058i 0.591294 + 0.215213i
\(474\) 12.9067 0.592826
\(475\) 1.15270 + 4.20372i 0.0528897 + 0.192880i
\(476\) 13.9709 0.640355
\(477\) −7.42514 2.70253i −0.339974 0.123740i
\(478\) 4.43376 + 25.1451i 0.202796 + 1.15011i
\(479\) −3.66044 3.07148i −0.167250 0.140339i 0.555321 0.831636i \(-0.312595\pi\)
−0.722571 + 0.691297i \(0.757040\pi\)
\(480\) 0.766044 0.642788i 0.0349650 0.0293391i
\(481\) 9.09539 51.5825i 0.414714 2.35196i
\(482\) −4.95336 + 8.57948i −0.225620 + 0.390784i
\(483\) −8.50047 14.7232i −0.386785 0.669931i
\(484\) 6.11081 2.22415i 0.277764 0.101098i
\(485\) −7.83750 + 2.85262i −0.355882 + 0.129531i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −3.04916 + 5.28131i −0.138171 + 0.239319i −0.926804 0.375545i \(-0.877456\pi\)
0.788633 + 0.614864i \(0.210789\pi\)
\(488\) 2.24123 12.7106i 0.101456 0.575384i
\(489\) 4.69459 3.93923i 0.212297 0.178138i
\(490\) 8.32295 + 6.98378i 0.375992 + 0.315495i
\(491\) −1.99613 11.3206i −0.0900841 0.510892i −0.996143 0.0877413i \(-0.972035\pi\)
0.906059 0.423151i \(-0.139076\pi\)
\(492\) −9.17752 3.34034i −0.413754 0.150594i
\(493\) −8.90673 −0.401139
\(494\) −1.77285 + 21.7223i −0.0797644 + 0.977331i
\(495\) 2.12061 0.0953145
\(496\) −9.94356 3.61916i −0.446479 0.162505i
\(497\) −6.74691 38.2636i −0.302640 1.71636i
\(498\) 5.22668 + 4.38571i 0.234213 + 0.196528i
\(499\) −30.7108 + 25.7694i −1.37480 + 1.15360i −0.403713 + 0.914886i \(0.632281\pi\)
−0.971090 + 0.238712i \(0.923275\pi\)
\(500\) −0.173648 + 0.984808i −0.00776578 + 0.0440419i
\(501\) −3.18092 + 5.50952i −0.142113 + 0.246147i
\(502\) −2.70439 4.68415i −0.120703 0.209064i
\(503\) −6.91400 + 2.51649i −0.308280 + 0.112205i −0.491527 0.870862i \(-0.663561\pi\)
0.183247 + 0.983067i \(0.441339\pi\)
\(504\) 3.97178 1.44561i 0.176917 0.0643926i
\(505\) 0.106067 + 0.183713i 0.00471991 + 0.00817513i
\(506\) −4.26486 + 7.38696i −0.189596 + 0.328390i
\(507\) 2.08378 11.8177i 0.0925438 0.524842i
\(508\) 10.5569 8.85829i 0.468387 0.393023i
\(509\) 32.0874 + 26.9245i 1.42225 + 1.19341i 0.950122 + 0.311878i \(0.100958\pi\)
0.472127 + 0.881531i \(0.343486\pi\)
\(510\) 0.573978 + 3.25519i 0.0254162 + 0.144142i
\(511\) −2.24897 0.818558i −0.0994886 0.0362109i
\(512\) −1.00000 −0.0441942
\(513\) 3.58512 + 2.47929i 0.158287 + 0.109463i
\(514\) 1.03508 0.0456555
\(515\) 9.03596 + 3.28882i 0.398172 + 0.144923i
\(516\) 1.12061 + 6.35532i 0.0493323 + 0.279777i
\(517\) 14.4370 + 12.1141i 0.634939 + 0.532777i
\(518\) −33.9183 + 28.4609i −1.49029 + 1.25050i
\(519\) 2.63176 14.9254i 0.115521 0.655154i
\(520\) −2.50000 + 4.33013i −0.109632 + 0.189889i
\(521\) −16.4338 28.4641i −0.719976 1.24704i −0.961009 0.276518i \(-0.910819\pi\)
0.241032 0.970517i \(-0.422514\pi\)
\(522\) −2.53209 + 0.921605i −0.110827 + 0.0403376i
\(523\) 8.44831 3.07493i 0.369419 0.134457i −0.150638 0.988589i \(-0.548133\pi\)
0.520057 + 0.854131i \(0.325911\pi\)
\(524\) 9.76991 + 16.9220i 0.426801 + 0.739241i
\(525\) −2.11334 + 3.66041i −0.0922338 + 0.159754i
\(526\) 2.94996 16.7301i 0.128624 0.729465i
\(527\) 26.7939 22.4827i 1.16716 0.979362i
\(528\) −1.62449 1.36310i −0.0706966 0.0593215i
\(529\) −1.18449 6.71756i −0.0514995 0.292068i
\(530\) −7.42514 2.70253i −0.322528 0.117390i
\(531\) −9.49794 −0.412176
\(532\) 12.9513 13.1033i 0.561510 0.568099i
\(533\) 48.8326 2.11517
\(534\) 7.69594 + 2.80109i 0.333036 + 0.121215i
\(535\) −2.08378 11.8177i −0.0900896 0.510923i
\(536\) 2.09833 + 1.76070i 0.0906339 + 0.0760509i
\(537\) −1.48499 + 1.24605i −0.0640818 + 0.0537711i
\(538\) 0.179740 1.01936i 0.00774915 0.0439476i
\(539\) 11.5201 19.9533i 0.496204 0.859451i
\(540\) 0.500000 + 0.866025i 0.0215166 + 0.0372678i
\(541\) 6.49020 2.36224i 0.279035 0.101561i −0.198712 0.980058i \(-0.563676\pi\)
0.477747 + 0.878497i \(0.341454\pi\)
\(542\) 16.1557 5.88019i 0.693947 0.252576i
\(543\) −6.06418 10.5035i −0.260239 0.450747i
\(544\) 1.65270 2.86257i 0.0708591 0.122732i
\(545\) 1.14290 6.48173i 0.0489566 0.277647i
\(546\) −16.1891 + 13.5843i −0.692831 + 0.581354i
\(547\) 16.1898 + 13.5849i 0.692228 + 0.580848i 0.919551 0.392971i \(-0.128553\pi\)
−0.227323 + 0.973819i \(0.572997\pi\)
\(548\) 3.75372 + 21.2884i 0.160351 + 0.909395i
\(549\) 12.1284 + 4.41436i 0.517626 + 0.188400i
\(550\) 2.12061 0.0904233
\(551\) −8.25671 + 8.35359i −0.351748 + 0.355875i
\(552\) −4.02229 −0.171200
\(553\) 51.2627 + 18.6581i 2.17991 + 0.793423i
\(554\) −0.0384855 0.218262i −0.00163509 0.00927307i
\(555\) −8.02481 6.73362i −0.340634 0.285826i
\(556\) −6.95858 + 5.83894i −0.295109 + 0.247626i
\(557\) −1.12078 + 6.35624i −0.0474888 + 0.269323i −0.999302 0.0373558i \(-0.988107\pi\)
0.951813 + 0.306678i \(0.0992176\pi\)
\(558\) 5.29086 9.16404i 0.223980 0.387945i
\(559\) −16.1334 27.9439i −0.682370 1.18190i
\(560\) 3.97178 1.44561i 0.167838 0.0610882i
\(561\) 6.58677 2.39739i 0.278094 0.101218i
\(562\) −1.25624 2.17588i −0.0529915 0.0917839i
\(563\) 8.61856 14.9278i 0.363229 0.629131i −0.625261 0.780415i \(-0.715008\pi\)
0.988490 + 0.151285i \(0.0483410\pi\)
\(564\) −1.54323 + 8.75211i −0.0649818 + 0.368530i
\(565\) −1.59627 + 1.33943i −0.0671554 + 0.0563501i
\(566\) −0.433763 0.363970i −0.0182324 0.0152988i
\(567\) 0.733956 + 4.16247i 0.0308232 + 0.174807i
\(568\) −8.63816 3.14403i −0.362449 0.131921i
\(569\) 27.2226 1.14123 0.570615 0.821218i \(-0.306705\pi\)
0.570615 + 0.821218i \(0.306705\pi\)
\(570\) 3.58512 + 2.47929i 0.150164 + 0.103846i
\(571\) 42.8972 1.79519 0.897597 0.440818i \(-0.145311\pi\)
0.897597 + 0.440818i \(0.145311\pi\)
\(572\) 9.96363 + 3.62646i 0.416600 + 0.151630i
\(573\) 1.13516 + 6.43783i 0.0474221 + 0.268944i
\(574\) −31.6223 26.5342i −1.31989 1.10752i
\(575\) 3.08125 2.58548i 0.128497 0.107822i
\(576\) 0.173648 0.984808i 0.00723534 0.0410337i
\(577\) −1.00000 + 1.73205i −0.0416305 + 0.0721062i −0.886090 0.463513i \(-0.846589\pi\)
0.844459 + 0.535620i \(0.179922\pi\)
\(578\) −3.03714 5.26048i −0.126328 0.218807i
\(579\) −2.45336 + 0.892951i −0.101958 + 0.0371098i
\(580\) −2.53209 + 0.921605i −0.105139 + 0.0382676i
\(581\) 14.4192 + 24.9748i 0.598210 + 1.03613i
\(582\) −4.17024 + 7.22308i −0.172862 + 0.299406i
\(583\) −2.90972 + 16.5018i −0.120508 + 0.683436i
\(584\) −0.433763 + 0.363970i −0.0179492 + 0.0150612i
\(585\) −3.83022 3.21394i −0.158360 0.132880i
\(586\) −5.45084 30.9132i −0.225172 1.27701i
\(587\) −13.1652 4.79174i −0.543386 0.197776i 0.0557196 0.998446i \(-0.482255\pi\)
−0.599105 + 0.800670i \(0.704477\pi\)
\(588\) 10.8648 0.448058
\(589\) 3.75196 45.9718i 0.154597 1.89423i
\(590\) −9.49794 −0.391024
\(591\) 0.270792 + 0.0985603i 0.0111389 + 0.00405423i
\(592\) 1.81908 + 10.3165i 0.0747636 + 0.424006i
\(593\) 4.29086 + 3.60046i 0.176204 + 0.147853i 0.726625 0.687035i \(-0.241088\pi\)
−0.550420 + 0.834888i \(0.685532\pi\)
\(594\) 1.62449 1.36310i 0.0666534 0.0559289i
\(595\) −2.42602 + 13.7587i −0.0994572 + 0.564050i
\(596\) 8.06418 13.9676i 0.330322 0.572134i
\(597\) −4.68004 8.10608i −0.191541 0.331760i
\(598\) 18.8986 6.87852i 0.772820 0.281284i
\(599\) −8.54488 + 3.11008i −0.349134 + 0.127075i −0.510634 0.859798i \(-0.670589\pi\)
0.161499 + 0.986873i \(0.448367\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) 9.27244 16.0603i 0.378231 0.655115i −0.612574 0.790413i \(-0.709866\pi\)
0.990805 + 0.135298i \(0.0431993\pi\)
\(602\) −4.73648 + 26.8619i −0.193045 + 1.09481i
\(603\) −2.09833 + 1.76070i −0.0854504 + 0.0717014i
\(604\) −15.1138 12.6820i −0.614972 0.516023i
\(605\) 1.12923 + 6.40420i 0.0459098 + 0.260368i
\(606\) 0.199340 + 0.0725540i 0.00809765 + 0.00294730i
\(607\) 17.8726 0.725426 0.362713 0.931901i \(-0.381851\pi\)
0.362713 + 0.931901i \(0.381851\pi\)
\(608\) −1.15270 4.20372i −0.0467483 0.170483i
\(609\) −11.3892 −0.461513
\(610\) 12.1284 + 4.41436i 0.491063 + 0.178732i
\(611\) −7.71617 43.7606i −0.312163 1.77036i
\(612\) 2.53209 + 2.12467i 0.102354 + 0.0858849i
\(613\) 16.0096 13.4336i 0.646620 0.542578i −0.259423 0.965764i \(-0.583533\pi\)
0.906043 + 0.423185i \(0.139088\pi\)
\(614\) 2.30810 13.0899i 0.0931472 0.528264i
\(615\) 4.88326 8.45805i 0.196912 0.341061i
\(616\) −4.48158 7.76233i −0.180568 0.312753i
\(617\) 26.5621 9.66782i 1.06935 0.389212i 0.253417 0.967357i \(-0.418446\pi\)
0.815934 + 0.578145i \(0.196223\pi\)
\(618\) 9.03596 3.28882i 0.363480 0.132296i
\(619\) −23.4051 40.5389i −0.940732 1.62940i −0.764080 0.645122i \(-0.776807\pi\)
−0.176652 0.984273i \(-0.556527\pi\)
\(620\) 5.29086 9.16404i 0.212486 0.368037i
\(621\) 0.698463 3.96118i 0.0280284 0.158957i
\(622\) 4.34730 3.64781i 0.174311 0.146264i
\(623\) 26.5173 + 22.2507i 1.06239 + 0.891453i
\(624\) 0.868241 + 4.92404i 0.0347575 + 0.197119i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) −12.8520 −0.513671
\(627\) 3.85756 8.40014i 0.154056 0.335469i
\(628\) −4.60401 −0.183720
\(629\) −32.5381 11.8429i −1.29738 0.472207i
\(630\) 0.733956 + 4.16247i 0.0292415 + 0.165837i
\(631\) −7.57398 6.35532i −0.301515 0.253001i 0.479459 0.877564i \(-0.340833\pi\)
−0.780975 + 0.624563i \(0.785277\pi\)
\(632\) 9.88713 8.29628i 0.393289 0.330008i
\(633\) −4.26217 + 24.1720i −0.169406 + 0.960750i
\(634\) 3.44949 5.97470i 0.136997 0.237286i
\(635\) 6.89053 + 11.9347i 0.273442 + 0.473616i
\(636\) −7.42514 + 2.70253i −0.294426 + 0.107162i
\(637\) −51.0480 + 18.5800i −2.02260 + 0.736165i
\(638\) 2.85710 + 4.94864i 0.113114 + 0.195918i
\(639\) 4.59627 7.96097i 0.181825 0.314931i
\(640\) 0.173648 0.984808i 0.00686405 0.0389279i
\(641\) 27.2572 22.8715i 1.07659 0.903369i 0.0809602 0.996717i \(-0.474201\pi\)
0.995634 + 0.0933479i \(0.0297569\pi\)
\(642\) −9.19253 7.71345i −0.362800 0.304426i
\(643\) 3.34049 + 18.9449i 0.131736 + 0.747112i 0.977077 + 0.212885i \(0.0682861\pi\)
−0.845341 + 0.534227i \(0.820603\pi\)
\(644\) −15.9757 5.81466i −0.629529 0.229130i
\(645\) −6.45336 −0.254101
\(646\) 13.9385 + 3.64781i 0.548403 + 0.143521i
\(647\) 4.02229 0.158132 0.0790662 0.996869i \(-0.474806\pi\)
0.0790662 + 0.996869i \(0.474806\pi\)
\(648\) 0.939693 + 0.342020i 0.0369146 + 0.0134358i
\(649\) 3.49753 + 19.8355i 0.137290 + 0.778611i
\(650\) −3.83022 3.21394i −0.150234 0.126061i
\(651\) 34.2618 28.7490i 1.34282 1.12676i
\(652\) 1.06418 6.03525i 0.0416764 0.236359i
\(653\) 0.645430 1.11792i 0.0252576 0.0437475i −0.853120 0.521714i \(-0.825293\pi\)
0.878378 + 0.477967i \(0.158626\pi\)
\(654\) −3.29086 5.69994i −0.128683 0.222885i
\(655\) −18.3614 + 6.68302i −0.717441 + 0.261127i
\(656\) −9.17752 + 3.34034i −0.358322 + 0.130419i
\(657\) −0.283119 0.490376i −0.0110455 0.0191314i
\(658\) −18.7815 + 32.5306i −0.732180 + 1.26817i
\(659\) −8.81150 + 49.9725i −0.343247 + 1.94665i −0.0216811 + 0.999765i \(0.506902\pi\)
−0.321566 + 0.946887i \(0.604209\pi\)
\(660\) 1.62449 1.36310i 0.0632330 0.0530588i
\(661\) 31.5149 + 26.4441i 1.22579 + 1.02856i 0.998501 + 0.0547279i \(0.0174291\pi\)
0.227284 + 0.973828i \(0.427015\pi\)
\(662\) 3.71941 + 21.0938i 0.144559 + 0.819834i
\(663\) −15.5303 5.65258i −0.603148 0.219528i
\(664\) 6.82295 0.264782
\(665\) 10.6552 + 15.0299i 0.413192 + 0.582835i
\(666\) −10.4757 −0.405923
\(667\) 10.1848 + 3.70696i 0.394357 + 0.143534i
\(668\) 1.10472 + 6.26519i 0.0427430 + 0.242408i
\(669\) 6.78699 + 5.69496i 0.262400 + 0.220180i
\(670\) −2.09833 + 1.76070i −0.0810654 + 0.0680220i
\(671\) 4.75278 26.9544i 0.183479 1.04056i
\(672\) 2.11334 3.66041i 0.0815239 0.141204i
\(673\) 4.20708 + 7.28688i 0.162171 + 0.280889i 0.935647 0.352937i \(-0.114817\pi\)
−0.773476 + 0.633826i \(0.781484\pi\)
\(674\) −16.8503 + 6.13300i −0.649049 + 0.236234i
\(675\) −0.939693 + 0.342020i −0.0361688 + 0.0131644i
\(676\) −6.00000 10.3923i −0.230769 0.399704i
\(677\) 5.70843 9.88728i 0.219393 0.379999i −0.735230 0.677818i \(-0.762926\pi\)
0.954622 + 0.297819i \(0.0962591\pi\)
\(678\) −0.361844 + 2.05212i −0.0138965 + 0.0788112i
\(679\) −27.0051 + 22.6599i −1.03636 + 0.869608i
\(680\) 2.53209 + 2.12467i 0.0971012 + 0.0814776i
\(681\) −2.56893 14.5691i −0.0984414 0.558289i
\(682\) −21.0865 7.67485i −0.807443 0.293885i
\(683\) 2.44326 0.0934887 0.0467443 0.998907i \(-0.485115\pi\)
0.0467443 + 0.998907i \(0.485115\pi\)
\(684\) 4.34002 0.405223i 0.165945 0.0154941i
\(685\) −21.6168 −0.825935
\(686\) 15.3503 + 5.58705i 0.586077 + 0.213315i
\(687\) −0.0145479 0.0825054i −0.000555038 0.00314778i
\(688\) 4.94356 + 4.14814i 0.188472 + 0.158146i
\(689\) 30.2652 25.3955i 1.15301 0.967491i
\(690\) 0.698463 3.96118i 0.0265900 0.150800i
\(691\) 12.5364 21.7137i 0.476908 0.826029i −0.522742 0.852491i \(-0.675091\pi\)
0.999650 + 0.0264620i \(0.00842411\pi\)
\(692\) −7.57785 13.1252i −0.288067 0.498946i
\(693\) 8.42262 3.06558i 0.319949 0.116452i
\(694\) −11.0770 + 4.03169i −0.420476 + 0.153041i
\(695\) −4.54189 7.86678i −0.172284 0.298404i
\(696\) −1.34730 + 2.33359i −0.0510691 + 0.0884543i
\(697\) 5.60576 31.7919i 0.212333 1.20420i
\(698\) −0.184793 + 0.155059i −0.00699450 + 0.00586908i
\(699\) 1.43376 + 1.20307i 0.0542299 + 0.0455043i
\(700\) 0.733956 + 4.16247i 0.0277409 + 0.157327i
\(701\) 44.3063 + 16.1262i 1.67343 + 0.609078i 0.992386 0.123167i \(-0.0393051\pi\)
0.681041 + 0.732245i \(0.261527\pi\)
\(702\) −5.00000 −0.188713
\(703\) −41.2708 + 19.5388i −1.55656 + 0.736919i
\(704\) −2.12061 −0.0799237
\(705\) −8.35117 3.03958i −0.314523 0.114477i
\(706\) 2.98040 + 16.9027i 0.112169 + 0.636141i
\(707\) 0.686852 + 0.576337i 0.0258317 + 0.0216754i
\(708\) −7.27584 + 6.10516i −0.273443 + 0.229446i
\(709\) 2.36865 13.4333i 0.0889566 0.504498i −0.907476 0.420104i \(-0.861994\pi\)
0.996432 0.0843937i \(-0.0268953\pi\)
\(710\) 4.59627 7.96097i 0.172495 0.298770i
\(711\) 6.45336 + 11.1776i 0.242020 + 0.419191i
\(712\) 7.69594 2.80109i 0.288417 0.104975i
\(713\) −39.9959 + 14.5573i −1.49786 + 0.545176i
\(714\) 6.98545 + 12.0992i 0.261424 + 0.452800i
\(715\) −5.30154 + 9.18253i −0.198266 + 0.343407i
\(716\) −0.336619 + 1.90906i −0.0125800 + 0.0713449i
\(717\) −19.5594 + 16.4123i −0.730460 + 0.612929i
\(718\) −20.9067 17.5428i −0.780232 0.654692i
\(719\) 6.47472 + 36.7200i 0.241466 + 1.36942i 0.828558 + 0.559903i \(0.189162\pi\)
−0.587092 + 0.809520i \(0.699727\pi\)
\(720\) 0.939693 + 0.342020i 0.0350203 + 0.0127463i
\(721\) 40.6432 1.51363
\(722\) 16.3425 9.69129i 0.608207 0.360672i
\(723\) −9.90673 −0.368435
\(724\) −11.3969 4.14814i −0.423563 0.154164i
\(725\) −0.467911 2.65366i −0.0173778 0.0985543i
\(726\) 4.98158 + 4.18004i 0.184884 + 0.155136i
\(727\) −29.2080 + 24.5084i −1.08327 + 0.908968i −0.996188 0.0872340i \(-0.972197\pi\)
−0.0870775 + 0.996202i \(0.527753\pi\)
\(728\) −3.66978 + 20.8123i −0.136011 + 0.771357i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) −0.283119 0.490376i −0.0104787 0.0181496i
\(731\) −20.0446 + 7.29563i −0.741375 + 0.269839i
\(732\) 12.1284 4.41436i 0.448277 0.163159i
\(733\) 15.5744 + 26.9757i 0.575255 + 0.996371i 0.996014 + 0.0891987i \(0.0284306\pi\)
−0.420759 + 0.907173i \(0.638236\pi\)
\(734\) −0.413534 + 0.716261i −0.0152638 + 0.0264377i
\(735\) −1.88666 + 10.6998i −0.0695905 + 0.394667i
\(736\) −3.08125 + 2.58548i −0.113576 + 0.0953020i
\(737\) 4.44974 + 3.73378i 0.163908 + 0.137535i
\(738\) −1.69594 9.61814i −0.0624283 0.354048i
\(739\) 0.284463 + 0.103536i 0.0104641 + 0.00380863i 0.347247 0.937774i \(-0.387117\pi\)
−0.336783 + 0.941582i \(0.609339\pi\)
\(740\) −10.4757 −0.385093
\(741\) −19.6985 + 9.32580i −0.723641 + 0.342592i
\(742\) −33.3979 −1.22607
\(743\) −40.4552 14.7245i −1.48416 0.540189i −0.532253 0.846586i \(-0.678654\pi\)
−0.951904 + 0.306397i \(0.900877\pi\)
\(744\) −1.83750 10.4210i −0.0673659 0.382051i
\(745\) 12.3550 + 10.3671i 0.452654 + 0.379821i
\(746\) −11.8460 + 9.93993i −0.433711 + 0.363927i
\(747\) −1.18479 + 6.71929i −0.0433493 + 0.245846i
\(748\) 3.50475 6.07040i 0.128146 0.221956i
\(749\) −25.3601 43.9250i −0.926638 1.60498i
\(750\) −0.939693 + 0.342020i −0.0343127 + 0.0124888i
\(751\) −40.2918 + 14.6650i −1.47027 + 0.535134i −0.948173 0.317753i \(-0.897072\pi\)
−0.522095 + 0.852887i \(0.674849\pi\)
\(752\) 4.44356 + 7.69648i 0.162040 + 0.280662i
\(753\) 2.70439 4.68415i 0.0985536 0.170700i
\(754\) 2.33956 13.2683i 0.0852016 0.483202i
\(755\) 15.1138 12.6820i 0.550048 0.461545i
\(756\) 3.23783 + 2.71686i 0.117759 + 0.0988112i
\(757\) −0.00134417 0.00762319i −4.88548e−5 0.000277069i 0.984783 0.173787i \(-0.0556003\pi\)
−0.984832 + 0.173510i \(0.944489\pi\)
\(758\) 14.3785 + 5.23335i 0.522251 + 0.190084i
\(759\) −8.52972 −0.309609
\(760\) 4.34002 0.405223i 0.157429 0.0146990i
\(761\) −31.3233 −1.13547 −0.567734 0.823212i \(-0.692180\pi\)
−0.567734 + 0.823212i \(0.692180\pi\)
\(762\) 12.9500 + 4.71340i 0.469128 + 0.170748i
\(763\) −4.83069 27.3962i −0.174883 0.991809i
\(764\) 5.00774 + 4.20199i 0.181174 + 0.152023i
\(765\) −2.53209 + 2.12467i −0.0915479 + 0.0768178i
\(766\) 2.15405 12.2162i 0.0778289 0.441390i
\(767\) 23.7449 41.1273i 0.857377 1.48502i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) 10.6694 3.88333i 0.384747 0.140037i −0.142403 0.989809i \(-0.545483\pi\)
0.527150 + 0.849772i \(0.323261\pi\)
\(770\) 8.42262 3.06558i 0.303530 0.110476i
\(771\) 0.517541 + 0.896407i 0.0186388 + 0.0322833i
\(772\) −1.30541 + 2.26103i −0.0469826 + 0.0813763i