Properties

Label 570.2.bi.a.263.22
Level $570$
Weight $2$
Character 570.263
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 263.22
Character \(\chi\) \(=\) 570.263
Dual form 570.2.bi.a.557.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0871557 + 0.996195i) q^{2} +(-1.71062 - 0.271617i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.70877 - 1.44225i) q^{5} +(0.121493 - 1.72778i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.85245 + 0.929267i) q^{9} +O(q^{10})\) \(q+(0.0871557 + 0.996195i) q^{2} +(-1.71062 - 0.271617i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-1.70877 - 1.44225i) q^{5} +(0.121493 - 1.72778i) q^{6} +(-3.51350 - 0.941441i) q^{7} +(-0.258819 - 0.965926i) q^{8} +(2.85245 + 0.929267i) q^{9} +(1.28784 - 1.82797i) q^{10} +(1.29408 + 0.747136i) q^{11} +(1.73180 - 0.0295558i) q^{12} +(1.36985 + 2.93764i) q^{13} +(0.631636 - 3.58219i) q^{14} +(2.53132 + 2.93128i) q^{15} +(0.939693 - 0.342020i) q^{16} +(-0.302375 - 3.45616i) q^{17} +(-0.677124 + 2.92259i) q^{18} +(2.58276 + 3.51132i) q^{19} +(1.93326 + 1.12362i) q^{20} +(5.75456 + 2.56478i) q^{21} +(-0.631507 + 1.35427i) q^{22} +(3.19035 + 2.23391i) q^{23} +(0.180380 + 1.72263i) q^{24} +(0.839814 + 4.92897i) q^{25} +(-2.80707 + 1.62067i) q^{26} +(-4.62705 - 2.36440i) q^{27} +(3.62361 + 0.317024i) q^{28} +(3.57713 - 3.00157i) q^{29} +(-2.69951 + 2.77717i) q^{30} +(4.43573 + 7.68290i) q^{31} +(0.422618 + 0.906308i) q^{32} +(-2.01074 - 1.62956i) q^{33} +(3.41666 - 0.602449i) q^{34} +(4.64599 + 6.67607i) q^{35} +(-2.97048 - 0.419827i) q^{36} +(5.15462 - 5.15462i) q^{37} +(-3.27285 + 2.87896i) q^{38} +(-1.54537 - 5.39727i) q^{39} +(-0.950846 + 2.02383i) q^{40} +(-1.28662 - 3.53495i) q^{41} +(-2.05347 + 5.95620i) q^{42} +(-2.95931 + 2.07213i) q^{43} +(-1.40416 - 0.511071i) q^{44} +(-3.53395 - 5.70186i) q^{45} +(-1.94735 + 3.37291i) q^{46} +(-5.46752 - 0.478346i) q^{47} +(-1.70036 + 0.329830i) q^{48} +(5.39623 + 3.11551i) q^{49} +(-4.83702 + 1.26621i) q^{50} +(-0.421503 + 5.99432i) q^{51} +(-1.85915 - 2.65514i) q^{52} +(8.38937 + 5.87430i) q^{53} +(1.95213 - 4.81552i) q^{54} +(-1.13373 - 3.14307i) q^{55} +3.63745i q^{56} +(-3.46439 - 6.70805i) q^{57} +(3.30191 + 3.30191i) q^{58} +(-7.15446 - 6.00331i) q^{59} +(-3.00188 - 2.44719i) q^{60} +(-0.00426072 - 0.0241638i) q^{61} +(-7.26707 + 5.08846i) q^{62} +(-9.14724 - 5.95039i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(1.89607 - 6.99543i) q^{65} +(1.44811 - 2.14512i) q^{66} +(-0.0962128 + 1.09972i) q^{67} +(0.897938 + 3.35115i) q^{68} +(-4.85071 - 4.68792i) q^{69} +(-6.24574 + 5.21017i) q^{70} +(5.99409 + 1.05692i) q^{71} +(0.159335 - 2.99577i) q^{72} +(6.61286 + 3.08363i) q^{73} +(5.58426 + 4.68575i) q^{74} +(-0.0978130 - 8.65970i) q^{75} +(-3.15326 - 3.00948i) q^{76} +(-3.84336 - 3.84336i) q^{77} +(5.24204 - 2.00990i) q^{78} +(5.00093 + 13.7399i) q^{79} +(-2.09900 - 0.770839i) q^{80} +(7.27293 + 5.30137i) q^{81} +(3.40937 - 1.58981i) q^{82} +(12.3490 + 3.30890i) q^{83} +(-6.11251 - 1.52654i) q^{84} +(-4.46797 + 6.34190i) q^{85} +(-2.32217 - 2.76745i) q^{86} +(-6.93439 + 4.16294i) q^{87} +(0.386746 - 1.44336i) q^{88} +(9.69825 + 3.52987i) q^{89} +(5.37216 - 4.01745i) q^{90} +(-2.04734 - 11.6111i) q^{91} +(-3.52979 - 1.64597i) q^{92} +(-5.50104 - 14.3474i) q^{93} -5.48841i q^{94} +(0.650852 - 9.72504i) q^{95} +(-0.476771 - 1.66514i) q^{96} +(-1.56748 + 0.137137i) q^{97} +(-2.63334 + 5.64723i) q^{98} +(2.99700 + 3.33371i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0871557 + 0.996195i 0.0616284 + 0.704416i
\(3\) −1.71062 0.271617i −0.987628 0.156818i
\(4\) −0.984808 + 0.173648i −0.492404 + 0.0868241i
\(5\) −1.70877 1.44225i −0.764187 0.644995i
\(6\) 0.121493 1.72778i 0.0495992 0.705365i
\(7\) −3.51350 0.941441i −1.32798 0.355831i −0.476018 0.879435i \(-0.657920\pi\)
−0.851962 + 0.523604i \(0.824587\pi\)
\(8\) −0.258819 0.965926i −0.0915064 0.341506i
\(9\) 2.85245 + 0.929267i 0.950816 + 0.309756i
\(10\) 1.28784 1.82797i 0.407249 0.578055i
\(11\) 1.29408 + 0.747136i 0.390179 + 0.225270i 0.682238 0.731130i \(-0.261007\pi\)
−0.292059 + 0.956400i \(0.594340\pi\)
\(12\) 1.73180 0.0295558i 0.499927 0.00853204i
\(13\) 1.36985 + 2.93764i 0.379927 + 0.814756i 0.999554 + 0.0298594i \(0.00950597\pi\)
−0.619627 + 0.784896i \(0.712716\pi\)
\(14\) 0.631636 3.58219i 0.168812 0.957380i
\(15\) 2.53132 + 2.93128i 0.653585 + 0.756853i
\(16\) 0.939693 0.342020i 0.234923 0.0855050i
\(17\) −0.302375 3.45616i −0.0733368 0.838243i −0.940406 0.340055i \(-0.889554\pi\)
0.867069 0.498188i \(-0.166001\pi\)
\(18\) −0.677124 + 2.92259i −0.159600 + 0.688860i
\(19\) 2.58276 + 3.51132i 0.592526 + 0.805551i
\(20\) 1.93326 + 1.12362i 0.432290 + 0.251248i
\(21\) 5.75456 + 2.56478i 1.25575 + 0.559680i
\(22\) −0.631507 + 1.35427i −0.134638 + 0.288731i
\(23\) 3.19035 + 2.23391i 0.665234 + 0.465802i 0.856780 0.515682i \(-0.172461\pi\)
−0.191546 + 0.981484i \(0.561350\pi\)
\(24\) 0.180380 + 1.72263i 0.0368198 + 0.351631i
\(25\) 0.839814 + 4.92897i 0.167963 + 0.985793i
\(26\) −2.80707 + 1.62067i −0.550513 + 0.317839i
\(27\) −4.62705 2.36440i −0.890477 0.455028i
\(28\) 3.62361 + 0.317024i 0.684797 + 0.0599120i
\(29\) 3.57713 3.00157i 0.664256 0.557377i −0.247103 0.968989i \(-0.579479\pi\)
0.911359 + 0.411612i \(0.135034\pi\)
\(30\) −2.69951 + 2.77717i −0.492860 + 0.507039i
\(31\) 4.43573 + 7.68290i 0.796680 + 1.37989i 0.921767 + 0.387744i \(0.126746\pi\)
−0.125087 + 0.992146i \(0.539921\pi\)
\(32\) 0.422618 + 0.906308i 0.0747091 + 0.160214i
\(33\) −2.01074 1.62956i −0.350025 0.283670i
\(34\) 3.41666 0.602449i 0.585952 0.103319i
\(35\) 4.64599 + 6.67607i 0.785315 + 1.12846i
\(36\) −2.97048 0.419827i −0.495080 0.0699711i
\(37\) 5.15462 5.15462i 0.847415 0.847415i −0.142395 0.989810i \(-0.545480\pi\)
0.989810 + 0.142395i \(0.0454804\pi\)
\(38\) −3.27285 + 2.87896i −0.530927 + 0.467030i
\(39\) −1.54537 5.39727i −0.247458 0.864254i
\(40\) −0.950846 + 2.02383i −0.150342 + 0.319996i
\(41\) −1.28662 3.53495i −0.200936 0.552067i 0.797768 0.602965i \(-0.206014\pi\)
−0.998704 + 0.0508976i \(0.983792\pi\)
\(42\) −2.05347 + 5.95620i −0.316858 + 0.919062i
\(43\) −2.95931 + 2.07213i −0.451290 + 0.315997i −0.777031 0.629462i \(-0.783275\pi\)
0.325741 + 0.945459i \(0.394386\pi\)
\(44\) −1.40416 0.511071i −0.211685 0.0770469i
\(45\) −3.53395 5.70186i −0.526810 0.849983i
\(46\) −1.94735 + 3.37291i −0.287121 + 0.497308i
\(47\) −5.46752 0.478346i −0.797520 0.0697740i −0.318891 0.947791i \(-0.603311\pi\)
−0.478629 + 0.878017i \(0.658866\pi\)
\(48\) −1.70036 + 0.329830i −0.245425 + 0.0476069i
\(49\) 5.39623 + 3.11551i 0.770889 + 0.445073i
\(50\) −4.83702 + 1.26621i −0.684057 + 0.179069i
\(51\) −0.421503 + 5.99432i −0.0590222 + 0.839372i
\(52\) −1.85915 2.65514i −0.257818 0.368202i
\(53\) 8.38937 + 5.87430i 1.15237 + 0.806897i 0.983884 0.178807i \(-0.0572239\pi\)
0.168484 + 0.985704i \(0.446113\pi\)
\(54\) 1.95213 4.81552i 0.265651 0.655309i
\(55\) −1.13373 3.14307i −0.152872 0.423812i
\(56\) 3.63745i 0.486074i
\(57\) −3.46439 6.70805i −0.458870 0.888503i
\(58\) 3.30191 + 3.30191i 0.433563 + 0.433563i
\(59\) −7.15446 6.00331i −0.931432 0.781564i 0.0446422 0.999003i \(-0.485785\pi\)
−0.976074 + 0.217439i \(0.930230\pi\)
\(60\) −3.00188 2.44719i −0.387541 0.315930i
\(61\) −0.00426072 0.0241638i −0.000545530 0.00309385i 0.984534 0.175195i \(-0.0560556\pi\)
−0.985079 + 0.172101i \(0.944944\pi\)
\(62\) −7.26707 + 5.08846i −0.922919 + 0.646235i
\(63\) −9.14724 5.95039i −1.15244 0.749679i
\(64\) −0.866025 + 0.500000i −0.108253 + 0.0625000i
\(65\) 1.89607 6.99543i 0.235178 0.867676i
\(66\) 1.44811 2.14512i 0.178250 0.264045i
\(67\) −0.0962128 + 1.09972i −0.0117543 + 0.134352i −0.999804 0.0197815i \(-0.993703\pi\)
0.988050 + 0.154133i \(0.0492585\pi\)
\(68\) 0.897938 + 3.35115i 0.108891 + 0.406387i
\(69\) −4.85071 4.68792i −0.583957 0.564359i
\(70\) −6.24574 + 5.21017i −0.746509 + 0.622734i
\(71\) 5.99409 + 1.05692i 0.711367 + 0.125433i 0.517611 0.855616i \(-0.326822\pi\)
0.193757 + 0.981050i \(0.437933\pi\)
\(72\) 0.159335 2.99577i 0.0187778 0.353054i
\(73\) 6.61286 + 3.08363i 0.773977 + 0.360911i 0.769143 0.639077i \(-0.220683\pi\)
0.00483407 + 0.999988i \(0.498461\pi\)
\(74\) 5.58426 + 4.68575i 0.649157 + 0.544708i
\(75\) −0.0978130 8.65970i −0.0112945 0.999936i
\(76\) −3.15326 3.00948i −0.361703 0.345211i
\(77\) −3.84336 3.84336i −0.437992 0.437992i
\(78\) 5.24204 2.00990i 0.593544 0.227576i
\(79\) 5.00093 + 13.7399i 0.562649 + 1.54586i 0.815738 + 0.578421i \(0.196331\pi\)
−0.253090 + 0.967443i \(0.581447\pi\)
\(80\) −2.09900 0.770839i −0.234675 0.0861825i
\(81\) 7.27293 + 5.30137i 0.808103 + 0.589041i
\(82\) 3.40937 1.58981i 0.376502 0.175566i
\(83\) 12.3490 + 3.30890i 1.35548 + 0.363199i 0.862153 0.506647i \(-0.169115\pi\)
0.493323 + 0.869846i \(0.335782\pi\)
\(84\) −6.11251 1.52654i −0.666929 0.166559i
\(85\) −4.46797 + 6.34190i −0.484620 + 0.687876i
\(86\) −2.32217 2.76745i −0.250406 0.298422i
\(87\) −6.93439 + 4.16294i −0.743445 + 0.446314i
\(88\) 0.386746 1.44336i 0.0412273 0.153862i
\(89\) 9.69825 + 3.52987i 1.02801 + 0.374166i 0.800324 0.599568i \(-0.204661\pi\)
0.227689 + 0.973734i \(0.426883\pi\)
\(90\) 5.37216 4.01745i 0.566275 0.423477i
\(91\) −2.04734 11.6111i −0.214620 1.21717i
\(92\) −3.52979 1.64597i −0.368007 0.171604i
\(93\) −5.50104 14.3474i −0.570431 1.48775i
\(94\) 5.48841i 0.566086i
\(95\) 0.650852 9.72504i 0.0667760 0.997768i
\(96\) −0.476771 1.66514i −0.0486603 0.169948i
\(97\) −1.56748 + 0.137137i −0.159154 + 0.0139242i −0.166454 0.986049i \(-0.553232\pi\)
0.00730024 + 0.999973i \(0.497676\pi\)
\(98\) −2.63334 + 5.64723i −0.266008 + 0.570456i
\(99\) 2.99700 + 3.33371i 0.301210 + 0.335051i
\(100\) −1.68296 4.70825i −0.168296 0.470825i
\(101\) −2.13927 + 5.87758i −0.212865 + 0.584841i −0.999468 0.0326176i \(-0.989616\pi\)
0.786603 + 0.617459i \(0.211838\pi\)
\(102\) −6.00824 + 0.102540i −0.594905 + 0.0101530i
\(103\) −16.9707 + 4.54728i −1.67217 + 0.448057i −0.965694 0.259681i \(-0.916383\pi\)
−0.706475 + 0.707738i \(0.749716\pi\)
\(104\) 2.48300 2.08349i 0.243478 0.204303i
\(105\) −6.13419 12.6822i −0.598636 1.23765i
\(106\) −5.12076 + 8.86942i −0.497373 + 0.861474i
\(107\) 4.75092 17.7307i 0.459289 1.71409i −0.215874 0.976421i \(-0.569260\pi\)
0.675163 0.737669i \(-0.264073\pi\)
\(108\) 4.96733 + 1.52500i 0.477982 + 0.146743i
\(109\) −1.32656 0.233909i −0.127062 0.0224044i 0.109756 0.993959i \(-0.464993\pi\)
−0.236817 + 0.971554i \(0.576104\pi\)
\(110\) 3.03230 1.40335i 0.289119 0.133804i
\(111\) −10.2177 + 7.41752i −0.969820 + 0.704040i
\(112\) −3.62361 + 0.317024i −0.342399 + 0.0299560i
\(113\) 8.48059 8.48059i 0.797787 0.797787i −0.184959 0.982746i \(-0.559215\pi\)
0.982746 + 0.184959i \(0.0592153\pi\)
\(114\) 6.38059 4.03586i 0.597597 0.377992i
\(115\) −2.22973 8.41853i −0.207923 0.785032i
\(116\) −3.00157 + 3.57713i −0.278689 + 0.332128i
\(117\) 1.17756 + 9.65243i 0.108865 + 0.892367i
\(118\) 5.35691 7.65046i 0.493144 0.704282i
\(119\) −2.19138 + 12.4279i −0.200883 + 1.13927i
\(120\) 2.17624 3.20374i 0.198663 0.292460i
\(121\) −4.38358 7.59258i −0.398507 0.690234i
\(122\) 0.0237005 0.00635052i 0.00214574 0.000574949i
\(123\) 1.24076 + 6.39643i 0.111876 + 0.576747i
\(124\) −5.70246 6.79593i −0.512096 0.610292i
\(125\) 5.67376 9.63371i 0.507477 0.861665i
\(126\) 5.13052 9.63104i 0.457063 0.858002i
\(127\) −5.36453 + 2.50152i −0.476025 + 0.221974i −0.645797 0.763509i \(-0.723475\pi\)
0.169772 + 0.985483i \(0.445697\pi\)
\(128\) −0.573576 0.819152i −0.0506975 0.0724035i
\(129\) 5.62508 2.74083i 0.495261 0.241317i
\(130\) 7.13406 + 1.27916i 0.625699 + 0.112190i
\(131\) 5.34423 6.36900i 0.466927 0.556462i −0.480267 0.877122i \(-0.659460\pi\)
0.947194 + 0.320660i \(0.103905\pi\)
\(132\) 2.26316 + 1.25564i 0.196983 + 0.109290i
\(133\) −5.76885 14.7685i −0.500222 1.28060i
\(134\) −1.10392 −0.0953639
\(135\) 4.49653 + 10.7136i 0.387000 + 0.922080i
\(136\) −3.26014 + 1.18659i −0.279555 + 0.101750i
\(137\) −10.1342 + 14.4731i −0.865824 + 1.23652i 0.104454 + 0.994530i \(0.466691\pi\)
−0.970278 + 0.241995i \(0.922198\pi\)
\(138\) 4.24731 5.24083i 0.361555 0.446129i
\(139\) −0.674859 + 1.85416i −0.0572408 + 0.157268i −0.965017 0.262187i \(-0.915556\pi\)
0.907776 + 0.419454i \(0.137779\pi\)
\(140\) −5.73469 5.76788i −0.484670 0.487475i
\(141\) 9.22294 + 2.30334i 0.776711 + 0.193976i
\(142\) −0.530478 + 6.06339i −0.0445168 + 0.508829i
\(143\) −0.422133 + 4.82500i −0.0353005 + 0.403487i
\(144\) 2.99825 0.102370i 0.249854 0.00853080i
\(145\) −10.4415 0.0301249i −0.867122 0.00250173i
\(146\) −2.49554 + 6.85645i −0.206533 + 0.567444i
\(147\) −8.38467 6.79517i −0.691556 0.560456i
\(148\) −4.18122 + 5.97140i −0.343694 + 0.490846i
\(149\) 2.59564 0.944737i 0.212643 0.0773959i −0.233502 0.972356i \(-0.575019\pi\)
0.446146 + 0.894960i \(0.352796\pi\)
\(150\) 8.61822 0.852184i 0.703675 0.0695805i
\(151\) 12.4673 1.01457 0.507287 0.861777i \(-0.330649\pi\)
0.507287 + 0.861777i \(0.330649\pi\)
\(152\) 2.72320 3.40355i 0.220881 0.276064i
\(153\) 2.34919 10.1395i 0.189921 0.819732i
\(154\) 3.49377 4.16371i 0.281536 0.335521i
\(155\) 3.50104 19.5258i 0.281210 1.56835i
\(156\) 2.45912 + 5.04692i 0.196887 + 0.404077i
\(157\) 12.8685 + 18.3782i 1.02702 + 1.46674i 0.878449 + 0.477837i \(0.158579\pi\)
0.148573 + 0.988901i \(0.452532\pi\)
\(158\) −13.2518 + 6.17941i −1.05426 + 0.491608i
\(159\) −12.7555 12.3274i −1.01157 0.977626i
\(160\) 0.584966 2.15820i 0.0462456 0.170620i
\(161\) −9.10622 10.8524i −0.717670 0.855286i
\(162\) −4.64732 + 7.70730i −0.365128 + 0.605542i
\(163\) 5.66624 1.51826i 0.443814 0.118920i −0.0299895 0.999550i \(-0.509547\pi\)
0.473803 + 0.880631i \(0.342881\pi\)
\(164\) 1.88091 + 3.25783i 0.146874 + 0.254394i
\(165\) 1.08566 + 5.68455i 0.0845189 + 0.442541i
\(166\) −2.22002 + 12.5904i −0.172307 + 0.977203i
\(167\) −9.79103 + 13.9830i −0.757653 + 1.08204i 0.236240 + 0.971695i \(0.424085\pi\)
−0.993893 + 0.110346i \(0.964804\pi\)
\(168\) 0.987992 6.22229i 0.0762252 0.480060i
\(169\) 1.60297 1.91034i 0.123305 0.146950i
\(170\) −6.70718 3.89824i −0.514417 0.298981i
\(171\) 4.10424 + 12.4159i 0.313859 + 0.949470i
\(172\) 2.55453 2.55453i 0.194781 0.194781i
\(173\) −11.0016 + 0.962515i −0.836436 + 0.0731787i −0.497321 0.867566i \(-0.665683\pi\)
−0.339115 + 0.940745i \(0.610127\pi\)
\(174\) −4.75147 6.54518i −0.360208 0.496189i
\(175\) 1.68964 18.1086i 0.127725 1.36888i
\(176\) 1.47157 + 0.259478i 0.110924 + 0.0195589i
\(177\) 10.6080 + 12.2127i 0.797344 + 0.917959i
\(178\) −2.67118 + 9.96900i −0.200214 + 0.747208i
\(179\) 1.95063 3.37858i 0.145797 0.252527i −0.783873 0.620921i \(-0.786759\pi\)
0.929670 + 0.368394i \(0.120092\pi\)
\(180\) 4.47038 + 5.00157i 0.333202 + 0.372795i
\(181\) 7.17674 6.02200i 0.533443 0.447612i −0.335845 0.941917i \(-0.609022\pi\)
0.869288 + 0.494305i \(0.164577\pi\)
\(182\) 11.3884 3.05152i 0.844167 0.226194i
\(183\) 0.000725198 0.0424923i 5.36082e−5 0.00314112i
\(184\) 1.33206 3.65982i 0.0982011 0.269805i
\(185\) −16.2423 + 1.37381i −1.19416 + 0.101005i
\(186\) 13.8133 6.73056i 1.01284 0.493509i
\(187\) 2.19093 4.69846i 0.160217 0.343585i
\(188\) 5.46752 0.478346i 0.398760 0.0348870i
\(189\) 14.0312 + 12.6634i 1.02062 + 0.921128i
\(190\) 9.74476 0.199218i 0.706959 0.0144528i
\(191\) 15.4503i 1.11794i 0.829186 + 0.558972i \(0.188804\pi\)
−0.829186 + 0.558972i \(0.811196\pi\)
\(192\) 1.61725 0.620083i 0.116715 0.0447507i
\(193\) 15.5477 + 7.25000i 1.11915 + 0.521866i 0.892019 0.451999i \(-0.149289\pi\)
0.227127 + 0.973865i \(0.427067\pi\)
\(194\) −0.273231 1.54957i −0.0196168 0.111252i
\(195\) −5.14353 + 11.4515i −0.368336 + 0.820061i
\(196\) −5.85525 2.13114i −0.418232 0.152224i
\(197\) −2.85675 + 10.6615i −0.203535 + 0.759602i 0.786356 + 0.617773i \(0.211965\pi\)
−0.989891 + 0.141829i \(0.954702\pi\)
\(198\) −3.05982 + 3.27615i −0.217452 + 0.232826i
\(199\) −0.455930 0.543356i −0.0323200 0.0385175i 0.749642 0.661843i \(-0.230226\pi\)
−0.781962 + 0.623326i \(0.785781\pi\)
\(200\) 4.54366 2.08691i 0.321285 0.147567i
\(201\) 0.463285 1.85507i 0.0326776 0.130846i
\(202\) −6.04167 1.61886i −0.425090 0.113903i
\(203\) −15.3941 + 7.17837i −1.08045 + 0.503823i
\(204\) −0.625803 5.97644i −0.0438150 0.418435i
\(205\) −2.89976 + 7.89606i −0.202528 + 0.551485i
\(206\) −6.00906 16.5098i −0.418671 1.15029i
\(207\) 7.02441 + 9.33679i 0.488230 + 0.648952i
\(208\) 2.29197 + 2.29197i 0.158919 + 0.158919i
\(209\) 0.718862 + 6.47359i 0.0497247 + 0.447788i
\(210\) 12.0993 7.21617i 0.834929 0.497963i
\(211\) 2.45548 + 2.06040i 0.169042 + 0.141843i 0.723384 0.690446i \(-0.242586\pi\)
−0.554342 + 0.832289i \(0.687030\pi\)
\(212\) −9.28198 4.32826i −0.637489 0.297266i
\(213\) −9.96654 3.43608i −0.682896 0.235437i
\(214\) 18.0773 + 3.18751i 1.23574 + 0.217894i
\(215\) 8.04532 + 0.727270i 0.548686 + 0.0495994i
\(216\) −1.08626 + 5.08134i −0.0739108 + 0.345742i
\(217\) −8.35195 31.1699i −0.566967 2.11595i
\(218\) 0.117401 1.34190i 0.00795142 0.0908851i
\(219\) −10.4745 7.07108i −0.707803 0.477820i
\(220\) 1.66229 + 2.89845i 0.112072 + 0.195414i
\(221\) 9.73877 5.62268i 0.655101 0.378223i
\(222\) −8.27983 9.53233i −0.555706 0.639768i
\(223\) −11.9161 + 8.34373i −0.797959 + 0.558737i −0.899922 0.436051i \(-0.856377\pi\)
0.101963 + 0.994788i \(0.467488\pi\)
\(224\) −0.631636 3.58219i −0.0422030 0.239345i
\(225\) −2.18480 + 14.8400i −0.145653 + 0.989336i
\(226\) 9.18745 + 7.70919i 0.611140 + 0.512808i
\(227\) 0.603767 + 0.603767i 0.0400734 + 0.0400734i 0.726860 0.686786i \(-0.240979\pi\)
−0.686786 + 0.726860i \(0.740979\pi\)
\(228\) 4.57660 + 6.00456i 0.303093 + 0.397662i
\(229\) 18.9512i 1.25233i −0.779689 0.626167i \(-0.784623\pi\)
0.779689 0.626167i \(-0.215377\pi\)
\(230\) 8.19216 2.95496i 0.540175 0.194845i
\(231\) 5.53062 + 7.61846i 0.363888 + 0.501258i
\(232\) −3.82512 2.67838i −0.251132 0.175844i
\(233\) 7.48734 + 10.6930i 0.490512 + 0.700524i 0.985747 0.168235i \(-0.0538068\pi\)
−0.495235 + 0.868759i \(0.664918\pi\)
\(234\) −9.51307 + 2.01434i −0.621889 + 0.131682i
\(235\) 8.65286 + 8.70294i 0.564451 + 0.567717i
\(236\) 8.08823 + 4.66974i 0.526499 + 0.303974i
\(237\) −4.82270 24.8622i −0.313268 1.61497i
\(238\) −12.5716 1.09987i −0.814897 0.0712942i
\(239\) −5.56236 + 9.63428i −0.359799 + 0.623190i −0.987927 0.154920i \(-0.950488\pi\)
0.628128 + 0.778110i \(0.283821\pi\)
\(240\) 3.38122 + 1.88874i 0.218257 + 0.121918i
\(241\) −18.5334 6.74561i −1.19384 0.434523i −0.332771 0.943008i \(-0.607984\pi\)
−0.861071 + 0.508484i \(0.830206\pi\)
\(242\) 7.18163 5.02863i 0.461653 0.323253i
\(243\) −11.0013 11.0441i −0.705732 0.708479i
\(244\) 0.00839199 + 0.0230568i 0.000537242 + 0.00147606i
\(245\) −4.72757 13.1064i −0.302033 0.837339i
\(246\) −6.26395 + 1.79353i −0.399375 + 0.114351i
\(247\) −6.77701 + 12.3972i −0.431211 + 0.788814i
\(248\) 6.27306 6.27306i 0.398340 0.398340i
\(249\) −20.2257 9.01446i −1.28175 0.571268i
\(250\) 10.0916 + 4.81254i 0.638246 + 0.304372i
\(251\) 7.86219 1.38632i 0.496257 0.0875035i 0.0800826 0.996788i \(-0.474482\pi\)
0.416175 + 0.909285i \(0.363370\pi\)
\(252\) 10.0415 + 4.27159i 0.632558 + 0.269085i
\(253\) 2.45953 + 5.27447i 0.154629 + 0.331603i
\(254\) −2.95955 5.12609i −0.185699 0.321640i
\(255\) 9.36558 9.63502i 0.586495 0.603368i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 25.6562 + 2.24463i 1.60039 + 0.140016i 0.852108 0.523366i \(-0.175324\pi\)
0.748281 + 0.663382i \(0.230879\pi\)
\(258\) 3.22066 + 5.36480i 0.200509 + 0.333998i
\(259\) −22.9636 + 13.2580i −1.42689 + 0.823813i
\(260\) −0.652519 + 7.21840i −0.0404675 + 0.447666i
\(261\) 12.9928 5.23771i 0.804237 0.324206i
\(262\) 6.81055 + 4.76880i 0.420757 + 0.294617i
\(263\) −11.2736 + 24.1763i −0.695161 + 1.49078i 0.167967 + 0.985793i \(0.446280\pi\)
−0.863128 + 0.504985i \(0.831498\pi\)
\(264\) −1.05362 + 2.36399i −0.0648456 + 0.145493i
\(265\) −5.86331 22.1374i −0.360180 1.35989i
\(266\) 14.2096 7.03406i 0.871244 0.431286i
\(267\) −15.6313 8.67249i −0.956618 0.530748i
\(268\) −0.0962128 1.09972i −0.00587713 0.0671759i
\(269\) −29.8393 + 10.8606i −1.81933 + 0.662183i −0.823899 + 0.566737i \(0.808206\pi\)
−0.995435 + 0.0954466i \(0.969572\pi\)
\(270\) −10.2809 + 5.41317i −0.625678 + 0.329435i
\(271\) 0.100583 0.570433i 0.00610996 0.0346513i −0.981600 0.190947i \(-0.938844\pi\)
0.987710 + 0.156296i \(0.0499553\pi\)
\(272\) −1.46622 3.14431i −0.0889025 0.190652i
\(273\) 0.348468 + 20.4182i 0.0210903 + 1.23577i
\(274\) −15.3013 8.83423i −0.924387 0.533695i
\(275\) −2.59582 + 7.00592i −0.156534 + 0.422473i
\(276\) 5.59107 + 3.77438i 0.336543 + 0.227191i
\(277\) 8.35751 + 31.1907i 0.502154 + 1.87407i 0.485561 + 0.874203i \(0.338615\pi\)
0.0165936 + 0.999862i \(0.494718\pi\)
\(278\) −1.90592 0.510690i −0.114310 0.0306292i
\(279\) 5.51321 + 26.0371i 0.330067 + 1.55880i
\(280\) 5.24612 6.21557i 0.313516 0.371452i
\(281\) 2.01999 0.356179i 0.120503 0.0212479i −0.113072 0.993587i \(-0.536069\pi\)
0.233574 + 0.972339i \(0.424958\pi\)
\(282\) −1.49074 + 9.38859i −0.0887725 + 0.559082i
\(283\) 0.362247 + 4.14050i 0.0215334 + 0.246127i 0.999331 + 0.0365756i \(0.0116450\pi\)
−0.977798 + 0.209552i \(0.932799\pi\)
\(284\) −6.08656 −0.361171
\(285\) −3.75485 + 16.4591i −0.222418 + 0.974951i
\(286\) −4.84343 −0.286398
\(287\) 1.19259 + 13.6314i 0.0703963 + 0.804633i
\(288\) 0.363295 + 2.97792i 0.0214074 + 0.175476i
\(289\) 4.88809 0.861902i 0.287535 0.0507001i
\(290\) −0.880029 10.4044i −0.0516771 0.610969i
\(291\) 2.71862 + 0.191166i 0.159368 + 0.0112063i
\(292\) −7.04786 1.88847i −0.412445 0.110514i
\(293\) −6.33646 23.6480i −0.370180 1.38153i −0.860261 0.509853i \(-0.829700\pi\)
0.490081 0.871677i \(-0.336967\pi\)
\(294\) 6.03854 8.94500i 0.352175 0.521683i
\(295\) 3.56707 + 20.5768i 0.207683 + 1.19803i
\(296\) −6.31310 3.64487i −0.366941 0.211854i
\(297\) −4.22124 6.51675i −0.244941 0.378140i
\(298\) 1.16737 + 2.50343i 0.0676238 + 0.145020i
\(299\) −2.19213 + 12.4322i −0.126774 + 0.718973i
\(300\) 1.60007 + 8.51116i 0.0923800 + 0.491392i
\(301\) 12.3483 4.49442i 0.711746 0.259054i
\(302\) 1.08660 + 12.4198i 0.0625266 + 0.714682i
\(303\) 5.25592 9.47326i 0.301945 0.544224i
\(304\) 3.62794 + 2.41620i 0.208077 + 0.138579i
\(305\) −0.0275696 + 0.0474354i −0.00157863 + 0.00271615i
\(306\) 10.3057 + 1.45653i 0.589137 + 0.0832645i
\(307\) 11.8162 25.3399i 0.674386 1.44623i −0.209160 0.977881i \(-0.567073\pi\)
0.883546 0.468344i \(-0.155149\pi\)
\(308\) 4.45237 + 3.11758i 0.253697 + 0.177641i
\(309\) 30.2655 3.16915i 1.72174 0.180287i
\(310\) 19.7566 + 1.78593i 1.12210 + 0.101434i
\(311\) −29.6444 + 17.1152i −1.68098 + 0.970513i −0.719964 + 0.694012i \(0.755842\pi\)
−0.961014 + 0.276501i \(0.910825\pi\)
\(312\) −4.81339 + 2.88963i −0.272504 + 0.163593i
\(313\) 1.10775 + 0.0969157i 0.0626138 + 0.00547800i 0.118420 0.992964i \(-0.462217\pi\)
−0.0558058 + 0.998442i \(0.517773\pi\)
\(314\) −17.1867 + 14.4213i −0.969900 + 0.813843i
\(315\) 7.04859 + 23.3605i 0.397143 + 1.31622i
\(316\) −7.31087 12.6628i −0.411269 0.712338i
\(317\) −14.3403 30.7528i −0.805430 1.72725i −0.677571 0.735457i \(-0.736968\pi\)
−0.127858 0.991792i \(-0.540810\pi\)
\(318\) 11.1688 13.7813i 0.626314 0.772819i
\(319\) 6.87166 1.21166i 0.384739 0.0678399i
\(320\) 2.20097 + 0.394641i 0.123038 + 0.0220611i
\(321\) −12.9430 + 29.0401i −0.722407 + 1.62086i
\(322\) 10.0174 10.0174i 0.558248 0.558248i
\(323\) 11.3547 9.98818i 0.631794 0.555757i
\(324\) −8.08301 3.95790i −0.449056 0.219883i
\(325\) −13.3291 + 9.21900i −0.739367 + 0.511378i
\(326\) 2.00633 + 5.51235i 0.111120 + 0.305301i
\(327\) 2.20572 + 0.760447i 0.121976 + 0.0420528i
\(328\) −3.08150 + 2.15769i −0.170147 + 0.119139i
\(329\) 18.7598 + 6.82802i 1.03426 + 0.376441i
\(330\) −5.56829 + 1.57697i −0.306524 + 0.0868096i
\(331\) 4.10578 7.11143i 0.225674 0.390879i −0.730847 0.682541i \(-0.760875\pi\)
0.956522 + 0.291662i \(0.0942082\pi\)
\(332\) −12.7360 1.11425i −0.698976 0.0611525i
\(333\) 19.4933 9.91327i 1.06823 0.543244i
\(334\) −14.7832 8.53507i −0.808900 0.467018i
\(335\) 1.75048 1.74040i 0.0956387 0.0950884i
\(336\) 6.28473 + 0.441924i 0.342860 + 0.0241089i
\(337\) 5.75243 + 8.21532i 0.313355 + 0.447517i 0.944676 0.328004i \(-0.106376\pi\)
−0.631322 + 0.775521i \(0.717487\pi\)
\(338\) 2.04278 + 1.43037i 0.111113 + 0.0778020i
\(339\) −16.8105 + 12.2036i −0.913024 + 0.662809i
\(340\) 3.29883 7.02141i 0.178904 0.380790i
\(341\) 13.2564i 0.717872i
\(342\) −12.0110 + 5.17074i −0.649479 + 0.279602i
\(343\) 1.97785 + 1.97785i 0.106794 + 0.106794i
\(344\) 2.76745 + 2.32217i 0.149211 + 0.125203i
\(345\) 1.52760 + 15.0065i 0.0822433 + 0.807925i
\(346\) −1.91771 10.8758i −0.103096 0.584689i
\(347\) 6.27006 4.39035i 0.336595 0.235686i −0.393043 0.919520i \(-0.628578\pi\)
0.729638 + 0.683834i \(0.239689\pi\)
\(348\) 6.10616 5.30384i 0.327324 0.284316i
\(349\) −12.9502 + 7.47683i −0.693211 + 0.400225i −0.804814 0.593528i \(-0.797735\pi\)
0.111603 + 0.993753i \(0.464401\pi\)
\(350\) 18.1869 + 0.104943i 0.972133 + 0.00560945i
\(351\) 0.607405 16.8315i 0.0324209 0.898399i
\(352\) −0.130234 + 1.48859i −0.00694152 + 0.0793419i
\(353\) 4.19379 + 15.6514i 0.223213 + 0.833042i 0.983113 + 0.183002i \(0.0585814\pi\)
−0.759900 + 0.650040i \(0.774752\pi\)
\(354\) −11.2416 + 11.6320i −0.597486 + 0.618234i
\(355\) −8.71819 10.4510i −0.462714 0.554683i
\(356\) −10.1639 1.79216i −0.538684 0.0949845i
\(357\) 7.12425 20.6642i 0.377055 1.09367i
\(358\) 3.53574 + 1.64874i 0.186869 + 0.0871387i
\(359\) 3.20464 + 2.68902i 0.169135 + 0.141921i 0.723426 0.690402i \(-0.242566\pi\)
−0.554291 + 0.832323i \(0.687011\pi\)
\(360\) −4.59292 + 4.88928i −0.242068 + 0.257688i
\(361\) −5.65869 + 18.1378i −0.297826 + 0.954620i
\(362\) 6.62458 + 6.62458i 0.348180 + 0.348180i
\(363\) 5.43637 + 14.1787i 0.285335 + 0.744187i
\(364\) 4.03248 + 11.0791i 0.211359 + 0.580704i
\(365\) −6.85251 14.8066i −0.358677 0.775015i
\(366\) −0.0422674 + 0.00442589i −0.00220935 + 0.000231345i
\(367\) 25.3501 11.8210i 1.32327 0.617049i 0.372810 0.927908i \(-0.378394\pi\)
0.950456 + 0.310858i \(0.100616\pi\)
\(368\) 3.76199 + 1.00802i 0.196107 + 0.0525468i
\(369\) −0.385096 11.2789i −0.0200473 0.587155i
\(370\) −2.78420 16.0608i −0.144744 0.834962i
\(371\) −23.9458 28.5375i −1.24320 1.48159i
\(372\) 7.90886 + 13.1741i 0.410055 + 0.683047i
\(373\) 3.61782 13.5019i 0.187324 0.699101i −0.806798 0.590828i \(-0.798801\pi\)
0.994121 0.108273i \(-0.0345321\pi\)
\(374\) 4.87153 + 1.77309i 0.251901 + 0.0916845i
\(375\) −12.3223 + 14.9385i −0.636323 + 0.771423i
\(376\) 0.953052 + 5.40503i 0.0491499 + 0.278743i
\(377\) 13.7177 + 6.39665i 0.706495 + 0.329444i
\(378\) −11.3923 + 15.0815i −0.585958 + 0.775710i
\(379\) 18.1240i 0.930966i −0.885057 0.465483i \(-0.845881\pi\)
0.885057 0.465483i \(-0.154119\pi\)
\(380\) 1.04777 + 9.69031i 0.0537495 + 0.497103i
\(381\) 9.85613 2.82206i 0.504945 0.144578i
\(382\) −15.3915 + 1.34658i −0.787498 + 0.0688972i
\(383\) 14.4178 30.9190i 0.736714 1.57989i −0.0759202 0.997114i \(-0.524189\pi\)
0.812634 0.582774i \(-0.198033\pi\)
\(384\) 0.758676 + 1.55705i 0.0387160 + 0.0794580i
\(385\) 1.02434 + 12.1105i 0.0522050 + 0.617210i
\(386\) −5.86734 + 16.1204i −0.298640 + 0.820506i
\(387\) −10.3668 + 3.16066i −0.526976 + 0.160665i
\(388\) 1.51986 0.407245i 0.0771591 0.0206747i
\(389\) 20.3936 17.1123i 1.03400 0.867628i 0.0426773 0.999089i \(-0.486411\pi\)
0.991321 + 0.131461i \(0.0419668\pi\)
\(390\) −11.8562 4.12589i −0.600364 0.208923i
\(391\) 6.75607 11.7019i 0.341669 0.591788i
\(392\) 1.61271 6.01871i 0.0814540 0.303991i
\(393\) −10.8719 + 9.44337i −0.548414 + 0.476355i
\(394\) −10.8699 1.91666i −0.547620 0.0965601i
\(395\) 11.2710 30.6911i 0.567106 1.54423i
\(396\) −3.53036 2.76264i −0.177407 0.138828i
\(397\) 17.5329 1.53393i 0.879952 0.0769859i 0.361781 0.932263i \(-0.382169\pi\)
0.518171 + 0.855277i \(0.326613\pi\)
\(398\) 0.501551 0.501551i 0.0251405 0.0251405i
\(399\) 5.85693 + 26.8303i 0.293213 + 1.34319i
\(400\) 2.47497 + 4.34448i 0.123749 + 0.217224i
\(401\) −7.68434 + 9.15784i −0.383738 + 0.457321i −0.922990 0.384823i \(-0.874262\pi\)
0.539253 + 0.842144i \(0.318707\pi\)
\(402\) 1.88838 + 0.299843i 0.0941841 + 0.0149548i
\(403\) −16.4934 + 23.5550i −0.821593 + 1.17336i
\(404\) 1.08613 6.15977i 0.0540372 0.306460i
\(405\) −4.78186 19.5482i −0.237613 0.971360i
\(406\) −8.49273 14.7098i −0.421487 0.730038i
\(407\) 10.5217 2.81928i 0.521540 0.139746i
\(408\) 5.89916 1.14430i 0.292052 0.0566514i
\(409\) 3.37102 + 4.01742i 0.166686 + 0.198649i 0.842921 0.538037i \(-0.180834\pi\)
−0.676235 + 0.736686i \(0.736390\pi\)
\(410\) −8.11875 2.20054i −0.400956 0.108677i
\(411\) 21.2669 22.0054i 1.04902 1.08545i
\(412\) 15.9232 7.42512i 0.784481 0.365809i
\(413\) 19.4855 + 27.8281i 0.958818 + 1.36933i
\(414\) −8.68904 + 7.81144i −0.427043 + 0.383911i
\(415\) −16.3293 23.4645i −0.801576 1.15183i
\(416\) −2.08349 + 2.48300i −0.102151 + 0.121739i
\(417\) 1.65805 2.98846i 0.0811950 0.146346i
\(418\) −6.38630 + 1.28034i −0.312364 + 0.0626233i
\(419\) 11.0863 0.541602 0.270801 0.962635i \(-0.412711\pi\)
0.270801 + 0.962635i \(0.412711\pi\)
\(420\) 8.24323 + 11.4243i 0.402229 + 0.557448i
\(421\) −7.25631 + 2.64108i −0.353651 + 0.128718i −0.512736 0.858547i \(-0.671368\pi\)
0.159085 + 0.987265i \(0.449146\pi\)
\(422\) −1.83855 + 2.62572i −0.0894990 + 0.127818i
\(423\) −15.1513 6.44525i −0.736682 0.313379i
\(424\) 3.50281 9.62389i 0.170111 0.467377i
\(425\) 16.7814 4.39293i 0.814017 0.213089i
\(426\) 2.55437 10.2281i 0.123760 0.495552i
\(427\) −0.00777868 + 0.0889107i −0.000376437 + 0.00430269i
\(428\) −1.59984 + 18.2863i −0.0773314 + 0.883902i
\(429\) 2.03266 8.13909i 0.0981377 0.392959i
\(430\) −0.0233061 + 8.07809i −0.00112392 + 0.389560i
\(431\) −1.66515 + 4.57496i −0.0802075 + 0.220368i −0.973314 0.229477i \(-0.926299\pi\)
0.893107 + 0.449845i \(0.148521\pi\)
\(432\) −5.15668 0.639261i −0.248101 0.0307564i
\(433\) −7.41058 + 10.5834i −0.356130 + 0.508606i −0.956743 0.290933i \(-0.906034\pi\)
0.600613 + 0.799540i \(0.294923\pi\)
\(434\) 30.3234 11.0368i 1.45557 0.529783i
\(435\) 17.8533 + 2.88763i 0.856001 + 0.138451i
\(436\) 1.34703 0.0645110
\(437\) 0.395957 + 16.9720i 0.0189412 + 0.811880i
\(438\) 6.13126 11.0510i 0.292963 0.528035i
\(439\) 25.4106 30.2831i 1.21278 1.44533i 0.352272 0.935898i \(-0.385409\pi\)
0.860508 0.509437i \(-0.170146\pi\)
\(440\) −2.74255 + 1.90858i −0.130746 + 0.0909881i
\(441\) 12.4973 + 13.9014i 0.595110 + 0.661970i
\(442\) 6.45008 + 9.21166i 0.306799 + 0.438154i
\(443\) −0.435266 + 0.202968i −0.0206801 + 0.00964328i −0.432931 0.901427i \(-0.642521\pi\)
0.412251 + 0.911070i \(0.364743\pi\)
\(444\) 8.77442 9.07912i 0.416415 0.430876i
\(445\) −11.4811 20.0191i −0.544258 0.948996i
\(446\) −9.35053 11.1435i −0.442760 0.527661i
\(447\) −4.69677 + 0.911067i −0.222150 + 0.0430920i
\(448\) 3.51350 0.941441i 0.165997 0.0444789i
\(449\) −3.62660 6.28146i −0.171150 0.296440i 0.767672 0.640843i \(-0.221415\pi\)
−0.938822 + 0.344402i \(0.888082\pi\)
\(450\) −14.9740 0.883092i −0.705880 0.0416293i
\(451\) 0.976108 5.53578i 0.0459631 0.260670i
\(452\) −6.87911 + 9.82439i −0.323566 + 0.462100i
\(453\) −21.3268 3.38633i −1.00202 0.159103i
\(454\) −0.548848 + 0.654091i −0.0257587 + 0.0306980i
\(455\) −13.2476 + 22.7934i −0.621058 + 1.06857i
\(456\) −5.58283 + 5.08252i −0.261440 + 0.238011i
\(457\) −14.5973 + 14.5973i −0.682833 + 0.682833i −0.960638 0.277805i \(-0.910393\pi\)
0.277805 + 0.960638i \(0.410393\pi\)
\(458\) 18.8791 1.65171i 0.882164 0.0771793i
\(459\) −6.77264 + 16.7068i −0.316120 + 0.779806i
\(460\) 3.65771 + 7.90345i 0.170542 + 0.368500i
\(461\) −9.58175 1.68952i −0.446266 0.0786888i −0.0540010 0.998541i \(-0.517197\pi\)
−0.392265 + 0.919852i \(0.628309\pi\)
\(462\) −7.10744 + 6.17356i −0.330668 + 0.287220i
\(463\) 2.58882 9.66161i 0.120313 0.449013i −0.879317 0.476238i \(-0.842000\pi\)
0.999629 + 0.0272246i \(0.00866692\pi\)
\(464\) 2.33481 4.04400i 0.108391 0.187738i
\(465\) −11.2925 + 32.4503i −0.523676 + 1.50485i
\(466\) −9.99978 + 8.39081i −0.463231 + 0.388697i
\(467\) 36.6306 9.81513i 1.69506 0.454190i 0.723372 0.690458i \(-0.242591\pi\)
0.971688 + 0.236268i \(0.0759245\pi\)
\(468\) −2.83580 9.30130i −0.131085 0.429953i
\(469\) 1.37336 3.77328i 0.0634160 0.174234i
\(470\) −7.91567 + 9.37845i −0.365123 + 0.432596i
\(471\) −17.0214 34.9334i −0.784303 1.60965i
\(472\) −3.94704 + 8.46445i −0.181677 + 0.389608i
\(473\) −5.37774 + 0.470491i −0.247269 + 0.0216332i
\(474\) 24.3472 6.97122i 1.11831 0.320199i
\(475\) −15.1381 + 15.6792i −0.694585 + 0.719411i
\(476\) 12.6196i 0.578420i
\(477\) 18.4714 + 24.5521i 0.845749 + 1.12416i
\(478\) −10.0824 4.70151i −0.461159 0.215042i
\(479\) −4.64278 26.3305i −0.212134 1.20307i −0.885811 0.464046i \(-0.846397\pi\)
0.673677 0.739026i \(-0.264714\pi\)
\(480\) −1.58686 + 3.53297i −0.0724298 + 0.161257i
\(481\) 22.2035 + 8.08140i 1.01239 + 0.368480i
\(482\) 5.10465 19.0508i 0.232510 0.867741i
\(483\) 12.6296 + 21.0377i 0.574667 + 0.957248i
\(484\) 5.63542 + 6.71603i 0.256155 + 0.305274i
\(485\) 2.87626 + 2.02637i 0.130604 + 0.0920129i
\(486\) 10.0432 11.9220i 0.455571 0.540792i
\(487\) −28.4601 7.62586i −1.28965 0.345561i −0.452123 0.891956i \(-0.649333\pi\)
−0.837528 + 0.546395i \(0.816000\pi\)
\(488\) −0.0222376 + 0.0103696i −0.00100665 + 0.000469409i
\(489\) −10.1052 + 1.05813i −0.456972 + 0.0478502i
\(490\) 12.6445 5.85188i 0.571221 0.264361i
\(491\) −3.37900 9.28372i −0.152492 0.418969i 0.839799 0.542897i \(-0.182673\pi\)
−0.992291 + 0.123929i \(0.960451\pi\)
\(492\) −2.33264 6.08380i −0.105164 0.274279i
\(493\) −11.4556 11.4556i −0.515932 0.515932i
\(494\) −12.9407 5.67074i −0.582228 0.255138i
\(495\) −0.313142 10.0190i −0.0140747 0.450320i
\(496\) 6.79593 + 5.70246i 0.305146 + 0.256048i
\(497\) −20.0652 9.35657i −0.900048 0.419699i
\(498\) 7.21738 20.9344i 0.323418 0.938092i
\(499\) 27.5388 + 4.85583i 1.23281 + 0.217377i 0.751830 0.659357i \(-0.229171\pi\)
0.480976 + 0.876734i \(0.340283\pi\)
\(500\) −3.91469 + 10.4726i −0.175070 + 0.468349i
\(501\) 20.5468 21.2603i 0.917962 0.949839i
\(502\) 2.06628 + 7.71145i 0.0922224 + 0.344179i
\(503\) −0.974289 + 11.1362i −0.0434414 + 0.496537i 0.943042 + 0.332675i \(0.107951\pi\)
−0.986483 + 0.163863i \(0.947605\pi\)
\(504\) −3.38016 + 10.3756i −0.150564 + 0.462167i
\(505\) 12.1325 6.95810i 0.539888 0.309631i
\(506\) −5.04004 + 2.90987i −0.224057 + 0.129359i
\(507\) −3.26095 + 2.83248i −0.144824 + 0.125795i
\(508\) 4.84865 3.39506i 0.215124 0.150631i
\(509\) 2.57318 + 14.5933i 0.114054 + 0.646835i 0.987214 + 0.159400i \(0.0509560\pi\)
−0.873160 + 0.487434i \(0.837933\pi\)
\(510\) 10.4146 + 8.49019i 0.461167 + 0.375952i
\(511\) −20.3313 17.0600i −0.899402 0.754688i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −3.64843 22.3537i −0.161082 0.986941i
\(514\) 25.7542i 1.13597i
\(515\) 35.5574 + 16.7057i 1.56684 + 0.736142i
\(516\) −5.06368 + 3.67598i −0.222916 + 0.161826i
\(517\) −6.71801 4.70400i −0.295458 0.206882i
\(518\) −15.2090 21.7207i −0.668244 0.954351i
\(519\) 19.0810 + 1.34172i 0.837563 + 0.0588950i
\(520\) −7.24781 0.0209107i −0.317837 0.000916993i
\(521\) −21.2065 12.2436i −0.929076 0.536402i −0.0425565 0.999094i \(-0.513550\pi\)
−0.886519 + 0.462692i \(0.846884\pi\)
\(522\) 6.35018 + 12.4869i 0.277940 + 0.546537i
\(523\) 5.97160 + 0.522447i 0.261120 + 0.0228450i 0.216964 0.976180i \(-0.430385\pi\)
0.0441558 + 0.999025i \(0.485940\pi\)
\(524\) −4.15707 + 7.20026i −0.181602 + 0.314545i
\(525\) −7.80893 + 30.5180i −0.340810 + 1.33191i
\(526\) −25.0669 9.12361i −1.09297 0.397808i
\(527\) 25.2121 17.6537i 1.09826 0.769008i
\(528\) −2.44682 0.843571i −0.106484 0.0367117i
\(529\) −2.67847 7.35905i −0.116455 0.319959i
\(530\) 21.5422 7.77040i 0.935732 0.337525i
\(531\) −14.8291 23.7725i −0.643526 1.03164i
\(532\) 8.24574 + 13.5424i 0.357498 + 0.587139i
\(533\) 8.62196 8.62196i 0.373459 0.373459i
\(534\) 7.27713 16.3276i 0.314912 0.706566i
\(535\) −33.6904 + 23.4457i −1.45656 + 1.01365i
\(536\) 1.08715 0.191693i 0.0469576 0.00827989i
\(537\) −4.25446 + 5.24966i −0.183594 + 0.226539i
\(538\) −13.4200 28.7792i −0.578575 1.24076i
\(539\) 4.65542 + 8.06343i 0.200523 + 0.347316i
\(540\) −6.28861 9.77002i −0.270619 0.420435i
\(541\) 6.19727 5.20013i 0.266442 0.223571i −0.499772 0.866157i \(-0.666583\pi\)
0.766214 + 0.642586i \(0.222138\pi\)
\(542\) 0.577028 + 0.0504834i 0.0247855 + 0.00216845i
\(543\) −13.9124 + 8.35204i −0.597037 + 0.358420i
\(544\) 3.00456 1.73468i 0.128819 0.0743739i
\(545\) 1.92944 + 2.31294i 0.0826482 + 0.0990754i
\(546\) −20.3101 + 2.12671i −0.869193 + 0.0910146i
\(547\) 18.4846 + 12.9431i 0.790346 + 0.553406i 0.897592 0.440826i \(-0.145314\pi\)
−0.107246 + 0.994232i \(0.534203\pi\)
\(548\) 7.46701 16.0131i 0.318975 0.684044i
\(549\) 0.0103011 0.0728853i 0.000439640 0.00311067i
\(550\) −7.20550 1.97534i −0.307244 0.0842288i
\(551\) 19.7783 + 4.80810i 0.842585 + 0.204832i
\(552\) −3.27273 + 5.89875i −0.139296 + 0.251068i
\(553\) −4.63545 52.9834i −0.197119 2.25308i
\(554\) −30.3436 + 11.0442i −1.28917 + 0.469221i
\(555\) 28.1577 + 2.06162i 1.19523 + 0.0875109i
\(556\) 0.342635 1.94318i 0.0145310 0.0824091i
\(557\) −3.04569 6.53151i −0.129050 0.276749i 0.831157 0.556038i \(-0.187679\pi\)
−0.960207 + 0.279289i \(0.909901\pi\)
\(558\) −25.4575 + 7.76151i −1.07770 + 0.328571i
\(559\) −10.1410 5.85489i −0.428917 0.247636i
\(560\) 6.64915 + 4.68443i 0.280978 + 0.197953i
\(561\) −5.02403 + 7.44219i −0.212115 + 0.314210i
\(562\) 0.530878 + 1.98126i 0.0223937 + 0.0835746i
\(563\) −27.4965 7.36766i −1.15884 0.310510i −0.372337 0.928098i \(-0.621443\pi\)
−0.786502 + 0.617588i \(0.788110\pi\)
\(564\) −9.48279 0.666802i −0.399297 0.0280774i
\(565\) −26.7226 + 2.26025i −1.12423 + 0.0950896i
\(566\) −4.09318 + 0.721738i −0.172049 + 0.0303369i
\(567\) −20.5625 25.4734i −0.863545 1.06978i
\(568\) −0.530478 6.06339i −0.0222584 0.254414i
\(569\) −26.5691 −1.11383 −0.556916 0.830568i \(-0.688016\pi\)
−0.556916 + 0.830568i \(0.688016\pi\)
\(570\) −16.7237 2.30605i −0.700479 0.0965900i
\(571\) −25.0210 −1.04710 −0.523548 0.851996i \(-0.675392\pi\)
−0.523548 + 0.851996i \(0.675392\pi\)
\(572\) −0.422133 4.82500i −0.0176503 0.201743i
\(573\) 4.19656 26.4296i 0.175314 1.10411i
\(574\) −13.4755 + 2.37610i −0.562458 + 0.0991765i
\(575\) −8.33155 + 17.6012i −0.347450 + 0.734020i
\(576\) −2.93493 + 0.621455i −0.122289 + 0.0258940i
\(577\) −41.5365 11.1297i −1.72919 0.463334i −0.749192 0.662353i \(-0.769558\pi\)
−0.979996 + 0.199018i \(0.936225\pi\)
\(578\) 1.28465 + 4.79437i 0.0534343 + 0.199419i
\(579\) −24.6270 16.6250i −1.02346 0.690912i
\(580\) 10.2881 1.78348i 0.427191 0.0740552i
\(581\) −40.2731 23.2517i −1.67081 0.964642i
\(582\) 0.0465053 + 2.72494i 0.00192771 + 0.112952i
\(583\) 6.46759 + 13.8698i 0.267860 + 0.574428i
\(584\) 1.26702 7.18563i 0.0524297 0.297344i
\(585\) 11.9091 18.1922i 0.492379 0.752153i
\(586\) 23.0057 8.37340i 0.950358 0.345902i
\(587\) −1.41698 16.1961i −0.0584848 0.668485i −0.967691 0.252139i \(-0.918866\pi\)
0.909206 0.416346i \(-0.136689\pi\)
\(588\) 9.43726 + 5.23595i 0.389186 + 0.215927i
\(589\) −15.5207 + 35.4183i −0.639519 + 1.45939i
\(590\) −20.1876 + 5.34689i −0.831112 + 0.220128i
\(591\) 7.78266 17.4619i 0.320136 0.718286i
\(592\) 3.08078 6.60674i 0.126619 0.271536i
\(593\) −4.97308 3.48219i −0.204220 0.142996i 0.466993 0.884261i \(-0.345337\pi\)
−0.671213 + 0.741265i \(0.734226\pi\)
\(594\) 6.12405 4.77315i 0.251273 0.195845i
\(595\) 21.6688 18.0760i 0.888333 0.741043i
\(596\) −2.39216 + 1.38111i −0.0979866 + 0.0565726i
\(597\) 0.632338 + 1.05331i 0.0258799 + 0.0431093i
\(598\) −12.5760 1.10025i −0.514269 0.0449927i
\(599\) −1.29900 + 1.08999i −0.0530757 + 0.0445358i −0.668940 0.743317i \(-0.733252\pi\)
0.615864 + 0.787853i \(0.288807\pi\)
\(600\) −8.33931 + 2.33578i −0.340451 + 0.0953576i
\(601\) 9.51126 + 16.4740i 0.387973 + 0.671988i 0.992177 0.124841i \(-0.0398422\pi\)
−0.604204 + 0.796830i \(0.706509\pi\)
\(602\) 5.55355 + 11.9096i 0.226346 + 0.485400i
\(603\) −1.29637 + 3.04748i −0.0527924 + 0.124103i
\(604\) −12.2779 + 2.16492i −0.499580 + 0.0880894i
\(605\) −3.45988 + 19.2962i −0.140664 + 0.784503i
\(606\) 9.89529 + 4.41027i 0.401969 + 0.179155i
\(607\) 23.2357 23.2357i 0.943109 0.943109i −0.0553574 0.998467i \(-0.517630\pi\)
0.998467 + 0.0553574i \(0.0176298\pi\)
\(608\) −2.09081 + 3.82472i −0.0847936 + 0.155113i
\(609\) 28.2832 8.09818i 1.14609 0.328155i
\(610\) −0.0496578 0.0233305i −0.00201059 0.000944623i
\(611\) −6.08445 16.7169i −0.246151 0.676293i
\(612\) −0.552791 + 10.3934i −0.0223453 + 0.420129i
\(613\) 32.1495 22.5113i 1.29851 0.909224i 0.299514 0.954092i \(-0.403175\pi\)
0.998993 + 0.0448674i \(0.0142865\pi\)
\(614\) 26.2733 + 9.56271i 1.06031 + 0.385920i
\(615\) 7.10509 12.7195i 0.286505 0.512902i
\(616\) −2.71767 + 4.70714i −0.109498 + 0.189656i
\(617\) −3.46738 0.303356i −0.139591 0.0122127i 0.0171459 0.999853i \(-0.494542\pi\)
−0.156737 + 0.987640i \(0.550098\pi\)
\(618\) 5.79490 + 29.8741i 0.233105 + 1.20171i
\(619\) 3.17771 + 1.83465i 0.127723 + 0.0737409i 0.562500 0.826797i \(-0.309840\pi\)
−0.434777 + 0.900538i \(0.643173\pi\)
\(620\) −0.0572320 + 19.8371i −0.00229849 + 0.796677i
\(621\) −9.48008 17.8797i −0.380422 0.717486i
\(622\) −19.6337 28.0399i −0.787241 1.12430i
\(623\) −30.7517 21.5326i −1.23204 0.862684i
\(624\) −3.29815 4.54322i −0.132032 0.181874i
\(625\) −23.5894 + 8.27883i −0.943577 + 0.331153i
\(626\) 1.11198i 0.0444438i
\(627\) 0.528635 11.2691i 0.0211117 0.450045i
\(628\) −15.8644 15.8644i −0.633058 0.633058i
\(629\) −19.3739 16.2566i −0.772486 0.648193i
\(630\) −22.6573 + 9.05777i −0.902688 + 0.360870i
\(631\) −0.514163 2.91596i −0.0204685 0.116083i 0.972862 0.231388i \(-0.0743266\pi\)
−0.993330 + 0.115305i \(0.963215\pi\)
\(632\) 11.9774 8.38669i 0.476436 0.333604i
\(633\) −3.64076 4.19151i −0.144707 0.166597i
\(634\) 29.3859 16.9660i 1.16706 0.673805i
\(635\) 12.7746 + 3.46247i 0.506944 + 0.137404i
\(636\) 14.7023 + 9.92515i 0.582985 + 0.393558i
\(637\) −1.76027 + 20.1200i −0.0697444 + 0.797182i
\(638\) 1.80595 + 6.73991i 0.0714984 + 0.266836i
\(639\) 16.1157 + 8.58492i 0.637526 + 0.339614i
\(640\) −0.201312 + 2.22699i −0.00795756 + 0.0880294i
\(641\) 10.5022 + 1.85183i 0.414813 + 0.0731427i 0.377160 0.926148i \(-0.376901\pi\)
0.0376530 + 0.999291i \(0.488012\pi\)
\(642\) −30.0576 10.3627i −1.18628 0.408984i
\(643\) 11.7263 + 5.46807i 0.462441 + 0.215640i 0.639854 0.768497i \(-0.278995\pi\)
−0.177413 + 0.984137i \(0.556773\pi\)
\(644\) 10.8524 + 9.10622i 0.427643 + 0.358835i
\(645\) −13.5650 3.42933i −0.534120 0.135030i
\(646\) 10.9398 + 10.4410i 0.430421 + 0.410795i
\(647\) 25.9675 + 25.9675i 1.02089 + 1.02089i 0.999777 + 0.0211120i \(0.00672066\pi\)
0.0211120 + 0.999777i \(0.493279\pi\)
\(648\) 3.23836 8.39720i 0.127215 0.329873i
\(649\) −4.77314 13.1141i −0.187362 0.514774i
\(650\) −10.3456 12.4749i −0.405789 0.489307i
\(651\) 5.82075 + 55.5884i 0.228133 + 2.17868i
\(652\) −5.31651 + 2.47913i −0.208211 + 0.0970902i
\(653\) 36.1629 + 9.68983i 1.41517 + 0.379192i 0.883766 0.467929i \(-0.155000\pi\)
0.531399 + 0.847122i \(0.321666\pi\)
\(654\) −0.565313 + 2.26360i −0.0221055 + 0.0885137i
\(655\) −18.3178 + 3.17546i −0.715735 + 0.124075i
\(656\) −2.41805 2.88172i −0.0944090 0.112512i
\(657\) 15.9973 + 14.9410i 0.624115 + 0.582904i
\(658\) −5.16701 + 19.2836i −0.201431 + 0.751751i
\(659\) −11.4918 4.18266i −0.447655 0.162933i 0.108349 0.994113i \(-0.465444\pi\)
−0.556004 + 0.831180i \(0.687666\pi\)
\(660\) −2.05628 5.40966i −0.0800407 0.210571i
\(661\) 8.02889 + 45.5341i 0.312287 + 1.77107i 0.587043 + 0.809556i \(0.300292\pi\)
−0.274755 + 0.961514i \(0.588597\pi\)
\(662\) 7.44221 + 3.47036i 0.289250 + 0.134879i
\(663\) −18.1866 + 6.97306i −0.706308 + 0.270811i
\(664\) 12.7846i 0.496139i
\(665\) −11.4423 + 33.5562i −0.443714 + 1.30125i
\(666\) 11.5745 + 18.5551i 0.448503 + 0.718997i
\(667\) 18.1175 1.58508i 0.701513 0.0613744i
\(668\) 7.21416 15.4708i 0.279124 0.598583i
\(669\) 22.6502 11.0363i 0.875707 0.426690i
\(670\) 1.88635 + 1.59213i 0.0728759 + 0.0615093i
\(671\) 0.0125399 0.0344531i 0.000484098 0.00133005i
\(672\) 0.107508 + 6.29933i 0.00414720 + 0.243002i
\(673\) 15.7990 4.23333i 0.609007 0.163183i 0.0588815 0.998265i \(-0.481247\pi\)
0.550125 + 0.835082i \(0.314580\pi\)
\(674\) −7.68270 + 6.44655i −0.295926 + 0.248312i
\(675\) 7.76817 24.7922i 0.298997 0.954254i
\(676\) −1.24689 + 2.15967i −0.0479572 + 0.0830644i
\(677\) 2.88761 10.7767i 0.110980 0.414183i −0.887975 0.459892i \(-0.847888\pi\)
0.998955 + 0.0457090i \(0.0145547\pi\)
\(678\) −13.6223 15.6830i −0.523161 0.602301i
\(679\) 5.63647 + 0.993862i 0.216308 + 0.0381409i
\(680\) 7.28221 + 2.67432i 0.279260 + 0.102556i
\(681\) −0.868823 1.19681i −0.0332934 0.0458619i
\(682\) −13.2059 + 1.15537i −0.505681 + 0.0442413i
\(683\) 12.7588 12.7588i 0.488200 0.488200i −0.419538 0.907738i \(-0.637808\pi\)
0.907738 + 0.419538i \(0.137808\pi\)
\(684\) −6.19789 11.5146i −0.236982 0.440272i
\(685\) 38.1910 10.1152i 1.45920 0.386484i
\(686\) −1.79795 + 2.14271i −0.0686459 + 0.0818090i
\(687\) −5.14748 + 32.4184i −0.196388 + 1.23684i
\(688\) −2.07213 + 2.95931i −0.0789992 + 0.112823i
\(689\) −5.76445 + 32.6918i −0.219608 + 1.24546i
\(690\) −14.8163 + 2.82970i −0.564047 + 0.107725i
\(691\) −16.0099 27.7300i −0.609047 1.05490i −0.991398 0.130883i \(-0.958219\pi\)
0.382351 0.924017i \(-0.375114\pi\)
\(692\) 10.6673 2.85830i 0.405511 0.108656i
\(693\) −7.39148 14.5345i −0.280779 0.552120i
\(694\) 4.92011 + 5.86356i 0.186765 + 0.222578i
\(695\) 3.82735 2.19502i 0.145180 0.0832619i
\(696\) 5.81584 + 5.62066i 0.220449 + 0.213051i
\(697\) −11.8283 + 5.51565i −0.448030 + 0.208920i
\(698\) −8.57706 12.2493i −0.324647 0.463643i
\(699\) −9.90360 20.3254i −0.374588 0.768778i
\(700\) 1.48055 + 18.1269i 0.0559596 + 0.685131i
\(701\) −3.77595 + 4.50000i −0.142616 + 0.169963i −0.832624 0.553839i \(-0.813162\pi\)
0.690008 + 0.723801i \(0.257607\pi\)
\(702\) 16.8204 0.861868i 0.634844 0.0325291i
\(703\) 31.4127 + 4.78635i 1.18475 + 0.180521i
\(704\) −1.49427 −0.0563175
\(705\) −12.4379 17.2377i −0.468439 0.649209i
\(706\) −15.2264 + 5.54195i −0.573052 + 0.208574i
\(707\) 13.0497 18.6369i 0.490785 0.700914i
\(708\) −12.5675 10.1851i −0.472316 0.382778i
\(709\) 0.738072 2.02784i 0.0277189 0.0761570i −0.925061 0.379818i \(-0.875987\pi\)
0.952780 + 0.303661i \(0.0982089\pi\)
\(710\) 9.65142 9.59589i 0.362211 0.360127i
\(711\) 1.49682 + 43.8397i 0.0561352 + 1.64412i
\(712\) 0.899505 10.2814i 0.0337104 0.385311i
\(713\) −3.01137 + 34.4201i −0.112777 + 1.28904i
\(714\) 21.2065 + 5.29613i 0.793634 + 0.198203i
\(715\) 7.68020 7.63601i 0.287223 0.285570i
\(716\) −1.33431 + 3.66598i −0.0498654 + 0.137004i
\(717\) 12.1319 14.9698i 0.453075 0.559057i
\(718\) −2.39948 + 3.42681i −0.0895478 + 0.127888i
\(719\) −39.0482 + 14.2124i −1.45625 + 0.530033i −0.944331 0.328998i \(-0.893289\pi\)
−0.511923 + 0.859031i \(0.671067\pi\)
\(720\) −5.27098 4.14931i −0.196438 0.154636i
\(721\) 63.9075 2.38004
\(722\) −18.5620 4.05634i −0.690804 0.150961i
\(723\) 29.8714 + 16.5732i 1.11093 + 0.616363i
\(724\) −6.02200 + 7.17674i −0.223806 + 0.266722i
\(725\) 17.7988 + 15.1108i 0.661029 + 0.561201i
\(726\) −13.6509 + 6.65143i −0.506633 + 0.246858i
\(727\) −18.8063 26.8582i −0.697487 0.996115i −0.999089 0.0426811i \(-0.986410\pi\)
0.301601 0.953434i \(-0.402479\pi\)
\(728\) −10.6855 + 4.98274i −0.396032 + 0.184673i
\(729\) 15.8193 + 21.8804i 0.585898 + 0.810385i
\(730\) 14.1531 8.11692i 0.523828 0.300421i
\(731\) 8.05644 + 9.60130i 0.297978 + 0.355117i
\(732\) −0.00809290 0.0417208i −0.000299122 0.00154205i
\(733\) −8.79037 + 2.35537i −0.324680 + 0.0869976i −0.417477 0.908687i \(-0.637086\pi\)
0.0927977 + 0.995685i \(0.470419\pi\)
\(734\) 13.9854 + 24.2234i 0.516210 + 0.894103i
\(735\) 4.52716 + 23.7042i 0.166987 + 0.874343i
\(736\) −0.676307 + 3.83553i −0.0249290 + 0.141379i
\(737\) −0.946145 + 1.35123i −0.0348517 + 0.0497734i
\(738\) 11.2024 1.36665i 0.412366 0.0503071i
\(739\) −19.4734 + 23.2075i −0.716339 + 0.853700i −0.994270 0.106901i \(-0.965907\pi\)
0.277930 + 0.960601i \(0.410352\pi\)
\(740\) 15.7570 4.17340i 0.579240 0.153417i
\(741\) 14.9602 19.3661i 0.549576 0.711433i
\(742\) 26.3419 26.3419i 0.967040 0.967040i
\(743\) 1.32557 0.115972i 0.0486304 0.00425461i −0.0628146 0.998025i \(-0.520008\pi\)
0.111445 + 0.993771i \(0.464452\pi\)
\(744\) −12.4347 + 9.02696i −0.455878 + 0.330945i
\(745\) −5.79792 2.12923i −0.212419 0.0780091i
\(746\) 13.7658 + 2.42728i 0.504002 + 0.0888692i
\(747\) 32.1500 + 20.9140i 1.17631 + 0.765202i
\(748\) −1.34176 + 5.00753i −0.0490597 + 0.183093i
\(749\) −33.3848 + 57.8241i −1.21985 + 2.11285i
\(750\) −15.9557 10.9735i −0.582618 0.400694i
\(751\) 12.9584 10.8734i 0.472859 0.396776i −0.374977 0.927034i \(-0.622350\pi\)
0.847836 + 0.530258i \(0.177905\pi\)
\(752\) −5.30140 + 1.42050i −0.193322 + 0.0518005i
\(753\) −13.8258 + 0.235959i −0.503839 + 0.00859881i
\(754\) −5.17673 + 14.2230i −0.188526 + 0.517970i
\(755\) −21.3038 17.9810i −0.775324 0.654395i
\(756\) −16.0170 10.0345i −0.582534 0.364952i
\(757\) −11.8569 + 25.4272i −0.430946 + 0.924167i 0.564189 + 0.825646i \(0.309189\pi\)
−0.995135 + 0.0985214i \(0.968589\pi\)
\(758\) 18.0550 1.57961i 0.655788 0.0573740i
\(759\) −2.77468 9.69067i −0.100715 0.351749i
\(760\) −9.56212 + 1.88835i −0.346855 + 0.0684977i
\(761\) 8.72796i 0.316388i 0.987408 + 0.158194i \(0.0505672\pi\)
−0.987408 + 0.158194i \(0.949433\pi\)
\(762\) 3.67034 + 9.57267i 0.132962 + 0.346781i
\(763\) 4.44068 + 2.07072i 0.160763 + 0.0749652i
\(764\) −2.68292 15.2156i −0.0970645 0.550480i
\(765\) −18.6380 + 13.9380i −0.673858 + 0.503930i
\(766\) 32.0580 + 11.6681i 1.15830 + 0.421587i
\(767\) 7.83507 29.2409i 0.282908 1.05583i
\(768\) −1.48500 + 0.891495i −0.0535855 + 0.0321691i
\(769\) −9.75727 11.6283i −0.351856 0.419326i 0.560866 0.827907i \(-0.310468\pi\)
−0.912722 + 0.408581i \(0.866024\pi\)
\(770\) −11.9752 + 2.07594i −0.431555 + 0.0748117i
\(771\) −43.2783 10.8084i −1.55863 0.389254i
\(772\) −16.5704 4.44003i −0.596382 0.159800i
\(773\) −6.95175 + 3.24165i −0.250037 + 0.116594i −0.543597 0.839347i \(-0.682938\pi\)
0.293560