Properties

Label 570.2.bf.a.59.2
Level $570$
Weight $2$
Character 570.59
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
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.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.2
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 - 0.173648i) q^{2} +(-1.64517 - 0.541678i) q^{3} +(0.939693 + 0.342020i) q^{4} +(2.21549 + 0.302666i) q^{5} +(1.52611 + 0.819129i) q^{6} +(-2.76521 + 1.59649i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.41317 + 1.78230i) q^{9} +O(q^{10})\) \(q+(-0.984808 - 0.173648i) q^{2} +(-1.64517 - 0.541678i) q^{3} +(0.939693 + 0.342020i) q^{4} +(2.21549 + 0.302666i) q^{5} +(1.52611 + 0.819129i) q^{6} +(-2.76521 + 1.59649i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(2.41317 + 1.78230i) q^{9} +(-2.12927 - 0.682783i) q^{10} +(-1.63257 - 0.942566i) q^{11} +(-1.36069 - 1.07169i) q^{12} +(-1.97017 + 1.65317i) q^{13} +(3.00042 - 1.09207i) q^{14} +(-3.48091 - 1.69802i) q^{15} +(0.766044 + 0.642788i) q^{16} +(0.781630 - 4.43285i) q^{17} +(-2.06701 - 2.17427i) q^{18} +(-3.91516 - 1.91613i) q^{19} +(1.97836 + 1.04215i) q^{20} +(5.41402 - 1.12865i) q^{21} +(1.44409 + 1.21174i) q^{22} +(0.269039 + 0.0979220i) q^{23} +(1.15392 + 1.29169i) q^{24} +(4.81679 + 1.34110i) q^{25} +(2.22731 - 1.28594i) q^{26} +(-3.00464 - 4.23936i) q^{27} +(-3.14448 + 0.554456i) q^{28} +(0.186034 + 1.05505i) q^{29} +(3.13317 + 2.27668i) q^{30} +(-6.53496 + 3.77296i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(2.17529 + 2.43501i) q^{33} +(-1.53951 + 4.22977i) q^{34} +(-6.60949 + 2.70008i) q^{35} +(1.65805 + 2.50017i) q^{36} -9.87401 q^{37} +(3.52294 + 2.56688i) q^{38} +(4.13675 - 1.65255i) q^{39} +(-1.76734 - 1.36986i) q^{40} +(-6.45346 - 5.41509i) q^{41} +(-5.52776 + 0.171369i) q^{42} +(-0.955393 - 2.62492i) q^{43} +(-1.21174 - 1.44409i) q^{44} +(4.80691 + 4.67906i) q^{45} +(-0.247947 - 0.143152i) q^{46} +(1.01970 + 5.78300i) q^{47} +(-0.912090 - 1.47244i) q^{48} +(1.59758 - 2.76708i) q^{49} +(-4.51073 - 2.15716i) q^{50} +(-3.68709 + 6.86939i) q^{51} +(-2.41677 + 0.879633i) q^{52} +(-3.28212 + 9.01756i) q^{53} +(2.22284 + 4.69670i) q^{54} +(-3.33166 - 2.58237i) q^{55} +3.19298 q^{56} +(5.40317 + 5.27312i) q^{57} -1.07133i q^{58} +(0.980309 - 5.55961i) q^{59} +(-2.69023 - 2.78616i) q^{60} +(-11.2455 - 4.09301i) q^{61} +(7.09085 - 2.58086i) q^{62} +(-9.51835 - 1.07583i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-4.86525 + 3.06628i) q^{65} +(-1.71941 - 2.77575i) q^{66} +(0.624252 + 3.54031i) q^{67} +(2.25061 - 3.89818i) q^{68} +(-0.389572 - 0.306831i) q^{69} +(6.97794 - 1.51133i) q^{70} +(-9.79239 + 3.56414i) q^{71} +(-1.19871 - 2.75011i) q^{72} +(-3.19790 + 3.81110i) q^{73} +(9.72400 + 1.71460i) q^{74} +(-7.19799 - 4.81549i) q^{75} +(-3.02369 - 3.13964i) q^{76} +6.01920 q^{77} +(-4.36087 + 0.909102i) q^{78} +(-0.568928 + 0.678022i) q^{79} +(1.50261 + 1.65594i) q^{80} +(2.64678 + 8.60201i) q^{81} +(5.41509 + 6.45346i) q^{82} +(3.89616 + 6.74835i) q^{83} +(5.47354 + 0.791119i) q^{84} +(3.07336 - 9.58435i) q^{85} +(0.485066 + 2.75095i) q^{86} +(0.265441 - 1.83651i) q^{87} +(0.942566 + 1.63257i) q^{88} +(12.5753 - 10.5520i) q^{89} +(-3.92137 - 5.44269i) q^{90} +(2.80865 - 7.71672i) q^{91} +(0.219322 + 0.184033i) q^{92} +(12.7948 - 2.66732i) q^{93} -5.87221i q^{94} +(-8.09404 - 5.43015i) q^{95} +(0.642546 + 1.60846i) q^{96} +(-0.803014 + 4.55412i) q^{97} +(-2.05380 + 2.44763i) q^{98} +(-2.25973 - 5.18431i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 0.173648i −0.696364 0.122788i
\(3\) −1.64517 0.541678i −0.949839 0.312738i
\(4\) 0.939693 + 0.342020i 0.469846 + 0.171010i
\(5\) 2.21549 + 0.302666i 0.990797 + 0.135356i
\(6\) 1.52611 + 0.819129i 0.623034 + 0.334408i
\(7\) −2.76521 + 1.59649i −1.04515 + 0.603417i −0.921288 0.388882i \(-0.872861\pi\)
−0.123862 + 0.992299i \(0.539528\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 2.41317 + 1.78230i 0.804390 + 0.594102i
\(10\) −2.12927 0.682783i −0.673336 0.215915i
\(11\) −1.63257 0.942566i −0.492239 0.284194i 0.233264 0.972413i \(-0.425059\pi\)
−0.725503 + 0.688219i \(0.758393\pi\)
\(12\) −1.36069 1.07169i −0.392797 0.309371i
\(13\) −1.97017 + 1.65317i −0.546427 + 0.458507i −0.873729 0.486413i \(-0.838305\pi\)
0.327302 + 0.944920i \(0.393861\pi\)
\(14\) 3.00042 1.09207i 0.801897 0.291867i
\(15\) −3.48091 1.69802i −0.898767 0.438426i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 0.781630 4.43285i 0.189573 1.07512i −0.730364 0.683058i \(-0.760650\pi\)
0.919937 0.392065i \(-0.128239\pi\)
\(18\) −2.06701 2.17427i −0.487200 0.512480i
\(19\) −3.91516 1.91613i −0.898198 0.439591i
\(20\) 1.97836 + 1.04215i 0.442375 + 0.233033i
\(21\) 5.41402 1.12865i 1.18144 0.246292i
\(22\) 1.44409 + 1.21174i 0.307882 + 0.258344i
\(23\) 0.269039 + 0.0979220i 0.0560984 + 0.0204182i 0.369917 0.929065i \(-0.379386\pi\)
−0.313819 + 0.949483i \(0.601608\pi\)
\(24\) 1.15392 + 1.29169i 0.235543 + 0.263666i
\(25\) 4.81679 + 1.34110i 0.963357 + 0.268221i
\(26\) 2.22731 1.28594i 0.436811 0.252193i
\(27\) −3.00464 4.23936i −0.578243 0.815864i
\(28\) −3.14448 + 0.554456i −0.594250 + 0.104782i
\(29\) 0.186034 + 1.05505i 0.0345457 + 0.195918i 0.997196 0.0748277i \(-0.0238407\pi\)
−0.962651 + 0.270746i \(0.912730\pi\)
\(30\) 3.13317 + 2.27668i 0.572036 + 0.415662i
\(31\) −6.53496 + 3.77296i −1.17371 + 0.677644i −0.954552 0.298045i \(-0.903665\pi\)
−0.219161 + 0.975689i \(0.570332\pi\)
\(32\) −0.642788 0.766044i −0.113630 0.135419i
\(33\) 2.17529 + 2.43501i 0.378670 + 0.423881i
\(34\) −1.53951 + 4.22977i −0.264024 + 0.725400i
\(35\) −6.60949 + 2.70008i −1.11721 + 0.456397i
\(36\) 1.65805 + 2.50017i 0.276342 + 0.416695i
\(37\) −9.87401 −1.62328 −0.811638 0.584160i \(-0.801424\pi\)
−0.811638 + 0.584160i \(0.801424\pi\)
\(38\) 3.52294 + 2.56688i 0.571497 + 0.416403i
\(39\) 4.13675 1.65255i 0.662410 0.264619i
\(40\) −1.76734 1.36986i −0.279441 0.216594i
\(41\) −6.45346 5.41509i −1.00786 0.845696i −0.0198067 0.999804i \(-0.506305\pi\)
−0.988054 + 0.154108i \(0.950750\pi\)
\(42\) −5.52776 + 0.171369i −0.852951 + 0.0264429i
\(43\) −0.955393 2.62492i −0.145696 0.400297i 0.845282 0.534320i \(-0.179432\pi\)
−0.990978 + 0.134024i \(0.957210\pi\)
\(44\) −1.21174 1.44409i −0.182677 0.217705i
\(45\) 4.80691 + 4.67906i 0.716572 + 0.697513i
\(46\) −0.247947 0.143152i −0.0365578 0.0211067i
\(47\) 1.01970 + 5.78300i 0.148738 + 0.843537i 0.964289 + 0.264852i \(0.0853230\pi\)
−0.815551 + 0.578686i \(0.803566\pi\)
\(48\) −0.912090 1.47244i −0.131649 0.212529i
\(49\) 1.59758 2.76708i 0.228225 0.395298i
\(50\) −4.51073 2.15716i −0.637913 0.305068i
\(51\) −3.68709 + 6.86939i −0.516296 + 0.961907i
\(52\) −2.41677 + 0.879633i −0.335146 + 0.121983i
\(53\) −3.28212 + 9.01756i −0.450834 + 1.23866i 0.481304 + 0.876554i \(0.340163\pi\)
−0.932138 + 0.362103i \(0.882059\pi\)
\(54\) 2.22284 + 4.69670i 0.302490 + 0.639140i
\(55\) −3.33166 2.58237i −0.449242 0.348206i
\(56\) 3.19298 0.426681
\(57\) 5.40317 + 5.27312i 0.715667 + 0.698441i
\(58\) 1.07133i 0.140672i
\(59\) 0.980309 5.55961i 0.127625 0.723800i −0.852088 0.523398i \(-0.824664\pi\)
0.979714 0.200402i \(-0.0642247\pi\)
\(60\) −2.69023 2.78616i −0.347307 0.359691i
\(61\) −11.2455 4.09301i −1.43983 0.524057i −0.500102 0.865967i \(-0.666704\pi\)
−0.939733 + 0.341910i \(0.888926\pi\)
\(62\) 7.09085 2.58086i 0.900538 0.327769i
\(63\) −9.51835 1.07583i −1.19920 0.135542i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −4.86525 + 3.06628i −0.603460 + 0.380325i
\(66\) −1.71941 2.77575i −0.211645 0.341671i
\(67\) 0.624252 + 3.54031i 0.0762645 + 0.432518i 0.998902 + 0.0468492i \(0.0149180\pi\)
−0.922637 + 0.385668i \(0.873971\pi\)
\(68\) 2.25061 3.89818i 0.272927 0.472724i
\(69\) −0.389572 0.306831i −0.0468990 0.0369381i
\(70\) 6.97794 1.51133i 0.834023 0.180639i
\(71\) −9.79239 + 3.56414i −1.16214 + 0.422985i −0.849862 0.527005i \(-0.823315\pi\)
−0.312280 + 0.949990i \(0.601093\pi\)
\(72\) −1.19871 2.75011i −0.141270 0.324103i
\(73\) −3.19790 + 3.81110i −0.374285 + 0.446056i −0.920002 0.391914i \(-0.871813\pi\)
0.545717 + 0.837970i \(0.316258\pi\)
\(74\) 9.72400 + 1.71460i 1.13039 + 0.199319i
\(75\) −7.19799 4.81549i −0.831152 0.556045i
\(76\) −3.02369 3.13964i −0.346841 0.360141i
\(77\) 6.01920 0.685951
\(78\) −4.36087 + 0.909102i −0.493771 + 0.102936i
\(79\) −0.568928 + 0.678022i −0.0640094 + 0.0762834i −0.797099 0.603849i \(-0.793633\pi\)
0.733090 + 0.680132i \(0.238078\pi\)
\(80\) 1.50261 + 1.65594i 0.167997 + 0.185140i
\(81\) 2.64678 + 8.60201i 0.294087 + 0.955779i
\(82\) 5.41509 + 6.45346i 0.597997 + 0.712665i
\(83\) 3.89616 + 6.74835i 0.427659 + 0.740728i 0.996665 0.0816060i \(-0.0260049\pi\)
−0.569005 + 0.822334i \(0.692672\pi\)
\(84\) 5.47354 + 0.791119i 0.597212 + 0.0863181i
\(85\) 3.07336 9.58435i 0.333353 1.03957i
\(86\) 0.485066 + 2.75095i 0.0523060 + 0.296642i
\(87\) 0.265441 1.83651i 0.0284583 0.196895i
\(88\) 0.942566 + 1.63257i 0.100478 + 0.174033i
\(89\) 12.5753 10.5520i 1.33298 1.11851i 0.349613 0.936894i \(-0.386313\pi\)
0.983370 0.181611i \(-0.0581313\pi\)
\(90\) −3.92137 5.44269i −0.413349 0.573710i
\(91\) 2.80865 7.71672i 0.294427 0.808932i
\(92\) 0.219322 + 0.184033i 0.0228659 + 0.0191868i
\(93\) 12.7948 2.66732i 1.32676 0.276588i
\(94\) 5.87221i 0.605672i
\(95\) −8.09404 5.43015i −0.830431 0.557122i
\(96\) 0.642546 + 1.60846i 0.0655795 + 0.164162i
\(97\) −0.803014 + 4.55412i −0.0815337 + 0.462401i 0.916517 + 0.399995i \(0.130988\pi\)
−0.998051 + 0.0624054i \(0.980123\pi\)
\(98\) −2.05380 + 2.44763i −0.207466 + 0.247248i
\(99\) −2.25973 5.18431i −0.227112 0.521043i
\(100\) 4.06761 + 2.90766i 0.406761 + 0.290766i
\(101\) 3.33769 + 3.97771i 0.332113 + 0.395797i 0.906097 0.423070i \(-0.139047\pi\)
−0.573984 + 0.818866i \(0.694603\pi\)
\(102\) 4.82393 6.12478i 0.477640 0.606443i
\(103\) 8.81699 15.2715i 0.868764 1.50474i 0.00550340 0.999985i \(-0.498248\pi\)
0.863261 0.504759i \(-0.168418\pi\)
\(104\) 2.53280 0.446601i 0.248362 0.0437929i
\(105\) 12.3363 0.861877i 1.20390 0.0841106i
\(106\) 4.79814 8.31063i 0.466037 0.807200i
\(107\) −3.27246 + 1.88936i −0.316361 + 0.182651i −0.649769 0.760131i \(-0.725135\pi\)
0.333408 + 0.942782i \(0.391801\pi\)
\(108\) −1.37349 5.01134i −0.132164 0.482216i
\(109\) 5.25483 + 14.4375i 0.503322 + 1.38286i 0.888012 + 0.459819i \(0.152086\pi\)
−0.384691 + 0.923045i \(0.625692\pi\)
\(110\) 2.83263 + 3.12167i 0.270080 + 0.297640i
\(111\) 16.2444 + 5.34853i 1.54185 + 0.507660i
\(112\) −3.14448 0.554456i −0.297125 0.0523912i
\(113\) 18.0281i 1.69594i −0.530047 0.847968i \(-0.677826\pi\)
0.530047 0.847968i \(-0.322174\pi\)
\(114\) −4.40542 6.13126i −0.412605 0.574245i
\(115\) 0.566414 + 0.298374i 0.0528184 + 0.0278235i
\(116\) −0.186034 + 1.05505i −0.0172729 + 0.0979592i
\(117\) −7.70081 + 0.477934i −0.711940 + 0.0441851i
\(118\) −1.93083 + 5.30492i −0.177748 + 0.488357i
\(119\) 4.91564 + 13.5056i 0.450616 + 1.23806i
\(120\) 2.16555 + 3.21098i 0.197687 + 0.293121i
\(121\) −3.72314 6.44867i −0.338467 0.586242i
\(122\) 10.3639 + 5.98359i 0.938301 + 0.541729i
\(123\) 7.68380 + 12.4044i 0.692825 + 1.11847i
\(124\) −7.43128 + 1.31034i −0.667349 + 0.117672i
\(125\) 10.2656 + 4.42908i 0.918186 + 0.396149i
\(126\) 9.18693 + 2.71233i 0.818437 + 0.241634i
\(127\) 5.01423 4.20744i 0.444941 0.373350i −0.392614 0.919703i \(-0.628429\pi\)
0.837554 + 0.546354i \(0.183985\pi\)
\(128\) −0.342020 0.939693i −0.0302306 0.0830579i
\(129\) 0.149923 + 4.83596i 0.0131999 + 0.425782i
\(130\) 5.32379 2.17485i 0.466927 0.190747i
\(131\) −9.08799 1.60246i −0.794021 0.140007i −0.238098 0.971241i \(-0.576524\pi\)
−0.555923 + 0.831234i \(0.687635\pi\)
\(132\) 1.21128 + 3.03215i 0.105429 + 0.263915i
\(133\) 13.8853 0.952017i 1.20401 0.0825503i
\(134\) 3.59492i 0.310554i
\(135\) −5.37364 10.3016i −0.462489 0.886625i
\(136\) −2.89333 + 3.44814i −0.248101 + 0.295676i
\(137\) −5.54544 2.01837i −0.473779 0.172441i 0.0940847 0.995564i \(-0.470008\pi\)
−0.567863 + 0.823123i \(0.692230\pi\)
\(138\) 0.330373 + 0.369818i 0.0281232 + 0.0314810i
\(139\) 11.1705 9.37320i 0.947473 0.795024i −0.0313971 0.999507i \(-0.509996\pi\)
0.978870 + 0.204483i \(0.0655512\pi\)
\(140\) −7.13437 + 0.276667i −0.602964 + 0.0233826i
\(141\) 1.45495 10.0664i 0.122528 0.847741i
\(142\) 10.2625 1.80956i 0.861212 0.151855i
\(143\) 4.77467 0.841903i 0.399278 0.0704034i
\(144\) 0.702952 + 2.91648i 0.0585793 + 0.243040i
\(145\) 0.0928289 + 2.39377i 0.00770902 + 0.198791i
\(146\) 3.81110 3.19790i 0.315409 0.264660i
\(147\) −4.12715 + 3.68695i −0.340402 + 0.304095i
\(148\) −9.27853 3.37711i −0.762691 0.277597i
\(149\) −1.37270 + 1.63592i −0.112456 + 0.134019i −0.819336 0.573314i \(-0.805658\pi\)
0.706880 + 0.707333i \(0.250102\pi\)
\(150\) 6.25243 + 5.99225i 0.510509 + 0.489265i
\(151\) 0.960562i 0.0781694i 0.999236 + 0.0390847i \(0.0124442\pi\)
−0.999236 + 0.0390847i \(0.987556\pi\)
\(152\) 2.43256 + 3.61700i 0.197307 + 0.293377i
\(153\) 9.78689 9.30411i 0.791223 0.752192i
\(154\) −5.92775 1.04522i −0.477672 0.0842265i
\(155\) −15.6201 + 6.38105i −1.25463 + 0.512538i
\(156\) 4.45248 0.138034i 0.356484 0.0110516i
\(157\) 0.522669 + 1.43602i 0.0417135 + 0.114607i 0.958801 0.284080i \(-0.0916882\pi\)
−0.917087 + 0.398687i \(0.869466\pi\)
\(158\) 0.678022 0.568928i 0.0539405 0.0452615i
\(159\) 10.2843 13.0576i 0.815595 1.03553i
\(160\) −1.19223 1.89171i −0.0942544 0.149553i
\(161\) −0.900279 + 0.158743i −0.0709519 + 0.0125107i
\(162\) −1.11285 8.93093i −0.0874334 0.701680i
\(163\) 16.0875 + 9.28815i 1.26007 + 0.727504i 0.973089 0.230431i \(-0.0740138\pi\)
0.286985 + 0.957935i \(0.407347\pi\)
\(164\) −4.21220 7.29574i −0.328917 0.569701i
\(165\) 4.08234 + 6.05312i 0.317810 + 0.471235i
\(166\) −2.66513 7.32239i −0.206854 0.568328i
\(167\) 0.495348 1.36096i 0.0383312 0.105314i −0.919051 0.394140i \(-0.871043\pi\)
0.957382 + 0.288826i \(0.0932648\pi\)
\(168\) −5.25300 1.72957i −0.405278 0.133439i
\(169\) −1.10882 + 6.28845i −0.0852941 + 0.483727i
\(170\) −4.69098 + 8.90506i −0.359781 + 0.682987i
\(171\) −6.03280 11.6020i −0.461340 0.887223i
\(172\) 2.79338i 0.212993i
\(173\) −17.3919 3.06666i −1.32228 0.233154i −0.532440 0.846468i \(-0.678725\pi\)
−0.789839 + 0.613314i \(0.789836\pi\)
\(174\) −0.580315 + 1.76252i −0.0439936 + 0.133616i
\(175\) −15.4605 + 3.98153i −1.16870 + 0.300976i
\(176\) −0.644753 1.77144i −0.0486001 0.133528i
\(177\) −4.62429 + 8.61549i −0.347583 + 0.647580i
\(178\) −14.2166 + 8.20797i −1.06558 + 0.615213i
\(179\) 6.64395 11.5077i 0.496592 0.860122i −0.503400 0.864053i \(-0.667918\pi\)
0.999992 + 0.00393089i \(0.00125125\pi\)
\(180\) 2.91669 + 6.04094i 0.217397 + 0.450265i
\(181\) −21.4383 + 3.78015i −1.59350 + 0.280976i −0.898811 0.438337i \(-0.855568\pi\)
−0.694686 + 0.719313i \(0.744457\pi\)
\(182\) −4.10598 + 7.11176i −0.304355 + 0.527159i
\(183\) 16.2836 + 12.8251i 1.20372 + 0.948061i
\(184\) −0.184033 0.219322i −0.0135671 0.0161687i
\(185\) −21.8758 2.98852i −1.60834 0.219720i
\(186\) −13.0636 + 0.404994i −0.957873 + 0.0296956i
\(187\) −5.45432 + 6.50020i −0.398859 + 0.475342i
\(188\) −1.01970 + 5.78300i −0.0743692 + 0.421769i
\(189\) 15.0765 + 6.92581i 1.09666 + 0.503778i
\(190\) 7.02814 + 6.75317i 0.509875 + 0.489926i
\(191\) 4.54642i 0.328967i 0.986380 + 0.164484i \(0.0525958\pi\)
−0.986380 + 0.164484i \(0.947404\pi\)
\(192\) −0.353478 1.69560i −0.0255101 0.122369i
\(193\) 11.6597 + 9.78364i 0.839283 + 0.704242i 0.957402 0.288757i \(-0.0932421\pi\)
−0.118119 + 0.992999i \(0.537687\pi\)
\(194\) 1.58163 4.34549i 0.113554 0.311988i
\(195\) 9.66510 2.40915i 0.692132 0.172523i
\(196\) 2.44763 2.05380i 0.174831 0.146700i
\(197\) −12.1091 20.9736i −0.862738 1.49431i −0.869275 0.494328i \(-0.835414\pi\)
0.00653693 0.999979i \(-0.497919\pi\)
\(198\) 1.32516 + 5.49795i 0.0941748 + 0.390722i
\(199\) 2.75376 + 15.6174i 0.195209 + 1.10709i 0.912121 + 0.409921i \(0.134444\pi\)
−0.716912 + 0.697164i \(0.754445\pi\)
\(200\) −3.50091 3.56982i −0.247552 0.252425i
\(201\) 0.890706 6.16255i 0.0628256 0.434673i
\(202\) −2.59626 4.49686i −0.182672 0.316398i
\(203\) −2.19881 2.62044i −0.154326 0.183919i
\(204\) −5.81420 + 5.19406i −0.407076 + 0.363657i
\(205\) −12.6586 13.9503i −0.884115 0.974333i
\(206\) −11.3349 + 13.5084i −0.789740 + 0.941176i
\(207\) 0.474709 + 0.715811i 0.0329945 + 0.0497523i
\(208\) −2.57187 −0.178327
\(209\) 4.58569 + 6.81852i 0.317199 + 0.471647i
\(210\) −12.2986 1.29339i −0.848681 0.0892527i
\(211\) 0.212548 + 0.0374780i 0.0146324 + 0.00258009i 0.180960 0.983491i \(-0.442080\pi\)
−0.166327 + 0.986071i \(0.553191\pi\)
\(212\) −6.16838 + 7.35118i −0.423646 + 0.504881i
\(213\) 18.0408 0.559293i 1.23613 0.0383221i
\(214\) 3.55083 1.29240i 0.242730 0.0883464i
\(215\) −1.32219 6.10465i −0.0901727 0.416334i
\(216\) 0.482417 + 5.17371i 0.0328243 + 0.352026i
\(217\) 12.0470 20.8660i 0.817804 1.41648i
\(218\) −2.66795 15.1307i −0.180696 1.02478i
\(219\) 7.32547 4.53768i 0.495010 0.306628i
\(220\) −2.24752 3.56613i −0.151528 0.240428i
\(221\) 5.78830 + 10.0256i 0.389363 + 0.674397i
\(222\) −15.0689 8.08809i −1.01136 0.542837i
\(223\) −12.5417 + 4.56480i −0.839854 + 0.305682i −0.725897 0.687804i \(-0.758575\pi\)
−0.113957 + 0.993486i \(0.536353\pi\)
\(224\) 3.00042 + 1.09207i 0.200474 + 0.0729667i
\(225\) 9.23347 + 11.8213i 0.615565 + 0.788086i
\(226\) −3.13054 + 17.7542i −0.208240 + 1.18099i
\(227\) 8.85384i 0.587650i 0.955859 + 0.293825i \(0.0949283\pi\)
−0.955859 + 0.293825i \(0.905072\pi\)
\(228\) 3.27381 + 6.80310i 0.216813 + 0.450546i
\(229\) 5.74760 0.379812 0.189906 0.981802i \(-0.439182\pi\)
0.189906 + 0.981802i \(0.439182\pi\)
\(230\) −0.505997 0.392198i −0.0333645 0.0258608i
\(231\) −9.90261 3.26047i −0.651544 0.214523i
\(232\) 0.366416 1.00672i 0.0240564 0.0660944i
\(233\) 12.2521 4.45940i 0.802661 0.292145i 0.0920725 0.995752i \(-0.470651\pi\)
0.710589 + 0.703607i \(0.248429\pi\)
\(234\) 7.66681 + 0.866558i 0.501195 + 0.0566487i
\(235\) 0.508818 + 13.1208i 0.0331916 + 0.855907i
\(236\) 2.82269 4.88904i 0.183741 0.318249i
\(237\) 1.30325 0.807285i 0.0846553 0.0524388i
\(238\) −2.49573 14.1540i −0.161774 0.917468i
\(239\) 10.6444 + 6.14554i 0.688528 + 0.397522i 0.803060 0.595898i \(-0.203204\pi\)
−0.114532 + 0.993420i \(0.536537\pi\)
\(240\) −1.57507 3.53824i −0.101670 0.228393i
\(241\) 9.20904 + 10.9749i 0.593206 + 0.706956i 0.976219 0.216787i \(-0.0695579\pi\)
−0.383013 + 0.923743i \(0.625113\pi\)
\(242\) 2.54678 + 6.99721i 0.163713 + 0.449798i
\(243\) 0.305116 15.5855i 0.0195732 0.999808i
\(244\) −9.16739 7.69235i −0.586882 0.492452i
\(245\) 4.37691 5.64691i 0.279631 0.360768i
\(246\) −5.41306 13.5503i −0.345124 0.863934i
\(247\) 10.8812 2.69731i 0.692355 0.171626i
\(248\) 7.54592 0.479166
\(249\) −2.75442 13.2127i −0.174554 0.837318i
\(250\) −9.34058 6.14440i −0.590750 0.388606i
\(251\) −1.30950 + 3.59782i −0.0826548 + 0.227092i −0.974135 0.225968i \(-0.927446\pi\)
0.891480 + 0.453060i \(0.149668\pi\)
\(252\) −8.57637 4.26642i −0.540260 0.268759i
\(253\) −0.346927 0.413451i −0.0218111 0.0259935i
\(254\) −5.66866 + 3.27280i −0.355684 + 0.205354i
\(255\) −10.2478 + 14.1031i −0.641744 + 0.883171i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) 28.4411 5.01493i 1.77411 0.312823i 0.811626 0.584177i \(-0.198583\pi\)
0.962480 + 0.271354i \(0.0874715\pi\)
\(258\) 0.692111 4.78852i 0.0430889 0.298120i
\(259\) 27.3037 15.7638i 1.69657 0.979514i
\(260\) −5.62057 + 1.21734i −0.348573 + 0.0754965i
\(261\) −1.43149 + 2.87759i −0.0886073 + 0.178119i
\(262\) 8.67166 + 3.15622i 0.535737 + 0.194992i
\(263\) −4.99171 4.18854i −0.307802 0.258276i 0.475781 0.879564i \(-0.342166\pi\)
−0.783583 + 0.621287i \(0.786610\pi\)
\(264\) −0.666353 3.19643i −0.0410112 0.196726i
\(265\) −10.0008 + 18.9849i −0.614345 + 1.16623i
\(266\) −13.8397 1.47360i −0.848564 0.0903524i
\(267\) −26.4043 + 10.5480i −1.61592 + 0.645526i
\(268\) −0.624252 + 3.54031i −0.0381323 + 0.216259i
\(269\) −0.127850 0.107279i −0.00779515 0.00654091i 0.638882 0.769305i \(-0.279397\pi\)
−0.646677 + 0.762764i \(0.723842\pi\)
\(270\) 3.50314 + 11.0783i 0.213194 + 0.674202i
\(271\) −5.58676 + 2.03342i −0.339372 + 0.123521i −0.506084 0.862484i \(-0.668907\pi\)
0.166712 + 0.986006i \(0.446685\pi\)
\(272\) 3.44814 2.89333i 0.209074 0.175434i
\(273\) −8.80069 + 11.1739i −0.532642 + 0.676277i
\(274\) 5.11070 + 2.95066i 0.308749 + 0.178256i
\(275\) −6.59967 6.72959i −0.397975 0.405810i
\(276\) −0.261136 0.421568i −0.0157185 0.0253754i
\(277\) −26.5003 15.2999i −1.59225 0.919284i −0.992921 0.118779i \(-0.962102\pi\)
−0.599326 0.800505i \(-0.704565\pi\)
\(278\) −12.6285 + 7.29105i −0.757406 + 0.437288i
\(279\) −22.4945 2.54249i −1.34671 0.152215i
\(280\) 7.07402 + 0.966406i 0.422754 + 0.0577538i
\(281\) 29.3474 + 10.6816i 1.75072 + 0.637210i 0.999733 0.0231053i \(-0.00735532\pi\)
0.750988 + 0.660316i \(0.229578\pi\)
\(282\) −3.18085 + 9.66079i −0.189417 + 0.575292i
\(283\) −11.8978 2.09790i −0.707251 0.124707i −0.191559 0.981481i \(-0.561354\pi\)
−0.515693 + 0.856774i \(0.672465\pi\)
\(284\) −10.4208 −0.618363
\(285\) 10.3747 + 13.3179i 0.614543 + 0.788883i
\(286\) −4.84832 −0.286687
\(287\) 26.4903 + 4.67095i 1.56367 + 0.275718i
\(288\) −0.185831 2.99424i −0.0109502 0.176437i
\(289\) −3.06440 1.11535i −0.180259 0.0656088i
\(290\) 0.324254 2.37352i 0.0190409 0.139378i
\(291\) 3.78796 7.05733i 0.222054 0.413708i
\(292\) −4.30851 + 2.48752i −0.252137 + 0.145571i
\(293\) −18.5097 10.6866i −1.08135 0.624317i −0.150089 0.988673i \(-0.547956\pi\)
−0.931260 + 0.364356i \(0.881289\pi\)
\(294\) 4.70469 2.91427i 0.274383 0.169963i
\(295\) 3.85457 12.0206i 0.224422 0.699864i
\(296\) 8.55114 + 4.93700i 0.497025 + 0.286958i
\(297\) 0.909420 + 9.75313i 0.0527699 + 0.565934i
\(298\) 1.63592 1.37270i 0.0947660 0.0795182i
\(299\) −0.691934 + 0.251843i −0.0400155 + 0.0145645i
\(300\) −5.11690 6.98694i −0.295424 0.403391i
\(301\) 6.83253 + 5.73317i 0.393820 + 0.330455i
\(302\) 0.166800 0.945969i 0.00959825 0.0544344i
\(303\) −3.33644 8.35196i −0.191673 0.479807i
\(304\) −1.76752 3.98446i −0.101374 0.228524i
\(305\) −23.6754 12.4716i −1.35565 0.714124i
\(306\) −11.2538 + 7.46328i −0.643339 + 0.426647i
\(307\) −2.23016 1.87133i −0.127282 0.106802i 0.576925 0.816797i \(-0.304253\pi\)
−0.704207 + 0.709995i \(0.748697\pi\)
\(308\) 5.65620 + 2.05869i 0.322292 + 0.117305i
\(309\) −22.7777 + 20.3482i −1.29578 + 1.15757i
\(310\) 16.4908 3.57171i 0.936616 0.202859i
\(311\) −4.42663 + 2.55572i −0.251011 + 0.144921i −0.620227 0.784422i \(-0.712960\pi\)
0.369216 + 0.929344i \(0.379626\pi\)
\(312\) −4.40880 0.637228i −0.249599 0.0360759i
\(313\) 17.4897 3.08390i 0.988575 0.174312i 0.344096 0.938935i \(-0.388185\pi\)
0.644479 + 0.764622i \(0.277074\pi\)
\(314\) −0.265366 1.50496i −0.0149755 0.0849300i
\(315\) −20.7622 5.26437i −1.16982 0.296614i
\(316\) −0.766514 + 0.442547i −0.0431198 + 0.0248952i
\(317\) 10.4400 + 12.4420i 0.586371 + 0.698810i 0.974904 0.222625i \(-0.0714626\pi\)
−0.388533 + 0.921435i \(0.627018\pi\)
\(318\) −12.3954 + 11.0734i −0.695102 + 0.620963i
\(319\) 0.690743 1.89780i 0.0386742 0.106256i
\(320\) 0.845629 + 2.07000i 0.0472721 + 0.115717i
\(321\) 6.40718 1.33569i 0.357614 0.0745511i
\(322\) 0.914167 0.0509445
\(323\) −11.5541 + 15.8576i −0.642888 + 0.882339i
\(324\) −0.454901 + 8.98850i −0.0252723 + 0.499361i
\(325\) −11.7070 + 5.32076i −0.649386 + 0.295143i
\(326\) −14.2303 11.9406i −0.788141 0.661329i
\(327\) −0.824601 26.5986i −0.0456005 1.47091i
\(328\) 2.88131 + 7.91634i 0.159094 + 0.437107i
\(329\) −12.0522 14.3632i −0.664459 0.791871i
\(330\) −2.96921 6.67006i −0.163450 0.367174i
\(331\) −8.74202 5.04721i −0.480505 0.277420i 0.240122 0.970743i \(-0.422813\pi\)
−0.720627 + 0.693323i \(0.756146\pi\)
\(332\) 1.35312 + 7.67394i 0.0742623 + 0.421162i
\(333\) −23.8277 17.5985i −1.30575 0.964391i
\(334\) −0.724150 + 1.25426i −0.0396237 + 0.0686303i
\(335\) 0.311494 + 8.03246i 0.0170187 + 0.438860i
\(336\) 4.87286 + 2.61547i 0.265836 + 0.142685i
\(337\) −31.1349 + 11.3322i −1.69603 + 0.617304i −0.995363 0.0961871i \(-0.969335\pi\)
−0.700665 + 0.713491i \(0.747113\pi\)
\(338\) 2.18396 6.00037i 0.118792 0.326377i
\(339\) −9.76540 + 29.6592i −0.530384 + 1.61087i
\(340\) 6.16606 7.95519i 0.334401 0.431431i
\(341\) 14.2251 0.770330
\(342\) 3.92649 + 12.4733i 0.212321 + 0.674478i
\(343\) 12.1488i 0.655975i
\(344\) −0.485066 + 2.75095i −0.0261530 + 0.148321i
\(345\) −0.770226 0.797690i −0.0414676 0.0429462i
\(346\) 16.5951 + 6.04013i 0.892160 + 0.324720i
\(347\) 8.04824 2.92932i 0.432052 0.157254i −0.116834 0.993151i \(-0.537274\pi\)
0.548886 + 0.835897i \(0.315052\pi\)
\(348\) 0.877557 1.63497i 0.0470420 0.0876437i
\(349\) 11.4275 + 19.7930i 0.611700 + 1.05950i 0.990954 + 0.134203i \(0.0428474\pi\)
−0.379254 + 0.925293i \(0.623819\pi\)
\(350\) 15.9170 1.23636i 0.850798 0.0660864i
\(351\) 12.9280 + 3.38507i 0.690047 + 0.180682i
\(352\) 0.327350 + 1.85649i 0.0174478 + 0.0989514i
\(353\) −5.66510 + 9.81224i −0.301523 + 0.522253i −0.976481 0.215603i \(-0.930828\pi\)
0.674958 + 0.737856i \(0.264162\pi\)
\(354\) 6.05011 7.68160i 0.321559 0.408273i
\(355\) −22.7737 + 4.93249i −1.20870 + 0.261789i
\(356\) 15.4259 5.61458i 0.817573 0.297572i
\(357\) −0.771373 24.8817i −0.0408254 1.31688i
\(358\) −8.54129 + 10.1791i −0.451421 + 0.537983i
\(359\) −10.1009 1.78107i −0.533106 0.0940010i −0.0993866 0.995049i \(-0.531688\pi\)
−0.433720 + 0.901048i \(0.642799\pi\)
\(360\) −1.82338 6.45564i −0.0961004 0.340242i
\(361\) 11.6569 + 15.0039i 0.613520 + 0.789679i
\(362\) 21.7690 1.14415
\(363\) 2.63210 + 12.6259i 0.138149 + 0.662688i
\(364\) 5.27854 6.29072i 0.276671 0.329724i
\(365\) −8.23839 + 7.47557i −0.431217 + 0.391289i
\(366\) −13.8092 15.4579i −0.721817 0.807998i
\(367\) 4.46292 + 5.31871i 0.232963 + 0.277634i 0.869843 0.493328i \(-0.164220\pi\)
−0.636880 + 0.770963i \(0.719775\pi\)
\(368\) 0.143152 + 0.247947i 0.00746234 + 0.0129251i
\(369\) −5.92194 24.5696i −0.308284 1.27904i
\(370\) 21.0245 + 6.74181i 1.09301 + 0.350490i
\(371\) −5.32072 30.1753i −0.276238 1.56662i
\(372\) 12.9355 + 1.86964i 0.670675 + 0.0969361i
\(373\) 0.513416 + 0.889262i 0.0265837 + 0.0460442i 0.879011 0.476801i \(-0.158204\pi\)
−0.852428 + 0.522845i \(0.824870\pi\)
\(374\) 6.50020 5.45432i 0.336117 0.282036i
\(375\) −14.4896 12.8473i −0.748239 0.663429i
\(376\) 2.00841 5.51807i 0.103576 0.284573i
\(377\) −2.11070 1.77109i −0.108707 0.0912157i
\(378\) −13.6448 9.43860i −0.701815 0.485469i
\(379\) 22.1068i 1.13555i 0.823183 + 0.567776i \(0.192196\pi\)
−0.823183 + 0.567776i \(0.807804\pi\)
\(380\) −5.74869 7.87100i −0.294901 0.403774i
\(381\) −10.5283 + 4.20585i −0.539383 + 0.215472i
\(382\) 0.789477 4.47735i 0.0403932 0.229081i
\(383\) 18.3565 21.8765i 0.937975 1.11783i −0.0548783 0.998493i \(-0.517477\pi\)
0.992853 0.119342i \(-0.0380785\pi\)
\(384\) 0.0536706 + 1.73122i 0.00273887 + 0.0883459i
\(385\) 13.3355 + 1.82180i 0.679638 + 0.0928477i
\(386\) −9.78364 11.6597i −0.497974 0.593463i
\(387\) 2.37288 8.03719i 0.120620 0.408553i
\(388\) −2.31219 + 4.00483i −0.117384 + 0.203314i
\(389\) −11.5120 + 2.02987i −0.583681 + 0.102919i −0.457689 0.889112i \(-0.651323\pi\)
−0.125992 + 0.992031i \(0.540211\pi\)
\(390\) −9.93661 + 0.694222i −0.503160 + 0.0351533i
\(391\) 0.644362 1.11607i 0.0325868 0.0564420i
\(392\) −2.76708 + 1.59758i −0.139759 + 0.0806898i
\(393\) 14.0833 + 7.55908i 0.710407 + 0.381305i
\(394\) 8.28312 + 22.7577i 0.417298 + 1.14652i
\(395\) −1.46567 + 1.32995i −0.0737457 + 0.0669173i
\(396\) −0.350316 5.64454i −0.0176041 0.283649i
\(397\) 14.7731 + 2.60490i 0.741440 + 0.130736i 0.531595 0.846999i \(-0.321593\pi\)
0.209845 + 0.977735i \(0.432704\pi\)
\(398\) 15.8583i 0.794904i
\(399\) −23.3594 5.95513i −1.16943 0.298129i
\(400\) 2.82783 + 4.12352i 0.141391 + 0.206176i
\(401\) −5.83171 + 33.0732i −0.291221 + 1.65160i 0.390954 + 0.920410i \(0.372145\pi\)
−0.682175 + 0.731189i \(0.738966\pi\)
\(402\) −1.94729 + 5.91426i −0.0971220 + 0.294977i
\(403\) 6.63764 18.2368i 0.330644 0.908438i
\(404\) 1.77595 + 4.87938i 0.0883567 + 0.242758i
\(405\) 3.26038 + 19.8587i 0.162010 + 0.986789i
\(406\) 1.71037 + 2.96245i 0.0848842 + 0.147024i
\(407\) 16.1200 + 9.30690i 0.799040 + 0.461326i
\(408\) 6.62781 4.10552i 0.328125 0.203254i
\(409\) −17.0516 + 3.00666i −0.843148 + 0.148670i −0.578507 0.815677i \(-0.696364\pi\)
−0.264641 + 0.964347i \(0.585253\pi\)
\(410\) 10.0438 + 15.9365i 0.496030 + 0.787049i
\(411\) 8.02988 + 6.32441i 0.396085 + 0.311960i
\(412\) 13.5084 11.3349i 0.665512 0.558431i
\(413\) 6.16512 + 16.9385i 0.303366 + 0.833490i
\(414\) −0.343198 0.787369i −0.0168672 0.0386971i
\(415\) 6.58941 + 16.1301i 0.323462 + 0.791797i
\(416\) 2.53280 + 0.446601i 0.124181 + 0.0218964i
\(417\) −23.4547 + 9.36967i −1.14858 + 0.458835i
\(418\) −3.33200 7.51122i −0.162974 0.367386i
\(419\) 32.6613i 1.59561i −0.602916 0.797805i \(-0.705995\pi\)
0.602916 0.797805i \(-0.294005\pi\)
\(420\) 11.8871 + 3.40937i 0.580032 + 0.166360i
\(421\) 13.8773 16.5383i 0.676339 0.806029i −0.313293 0.949657i \(-0.601432\pi\)
0.989632 + 0.143627i \(0.0458766\pi\)
\(422\) −0.202811 0.0738172i −0.00987269 0.00359337i
\(423\) −7.84636 + 15.7728i −0.381503 + 0.766899i
\(424\) 7.35118 6.16838i 0.357005 0.299563i
\(425\) 9.70986 20.3038i 0.470997 0.984880i
\(426\) −17.8638 2.58195i −0.865504 0.125096i
\(427\) 37.6305 6.63527i 1.82107 0.321103i
\(428\) −3.72131 + 0.656167i −0.179876 + 0.0317170i
\(429\) −8.31118 1.20126i −0.401268 0.0579973i
\(430\) 0.242042 + 6.24150i 0.0116723 + 0.300992i
\(431\) 15.2348 12.7835i 0.733833 0.615759i −0.197340 0.980335i \(-0.563230\pi\)
0.931174 + 0.364576i \(0.118786\pi\)
\(432\) 0.423317 5.17888i 0.0203669 0.249169i
\(433\) 20.4840 + 7.45558i 0.984400 + 0.358292i 0.783550 0.621329i \(-0.213407\pi\)
0.200851 + 0.979622i \(0.435629\pi\)
\(434\) −15.4873 + 18.4571i −0.743416 + 0.885968i
\(435\) 1.14393 3.98844i 0.0548473 0.191231i
\(436\) 15.3641i 0.735807i
\(437\) −0.865696 0.898893i −0.0414119 0.0429999i
\(438\) −8.00214 + 3.19669i −0.382357 + 0.152744i
\(439\) 2.14946 + 0.379008i 0.102588 + 0.0180890i 0.224707 0.974426i \(-0.427858\pi\)
−0.122118 + 0.992516i \(0.538969\pi\)
\(440\) 1.59412 + 3.90223i 0.0759968 + 0.186031i
\(441\) 8.78701 3.83008i 0.418429 0.182385i
\(442\) −3.95943 10.8784i −0.188331 0.517435i
\(443\) −28.9140 + 24.2617i −1.37375 + 1.15271i −0.402283 + 0.915515i \(0.631783\pi\)
−0.971462 + 0.237194i \(0.923772\pi\)
\(444\) 13.4355 + 10.5819i 0.637619 + 0.502195i
\(445\) 31.0542 19.5716i 1.47211 0.927785i
\(446\) 13.1438 2.31761i 0.622378 0.109742i
\(447\) 3.14446 1.94780i 0.148728 0.0921278i
\(448\) −2.76521 1.59649i −0.130644 0.0754272i
\(449\) 10.3936 + 18.0023i 0.490506 + 0.849582i 0.999940 0.0109278i \(-0.00347851\pi\)
−0.509434 + 0.860510i \(0.670145\pi\)
\(450\) −7.04045 13.2451i −0.331890 0.624379i
\(451\) 5.43165 + 14.9233i 0.255766 + 0.702713i
\(452\) 6.16596 16.9408i 0.290022 0.796830i
\(453\) 0.520315 1.58029i 0.0244465 0.0742484i
\(454\) 1.53745 8.71933i 0.0721563 0.409219i
\(455\) 8.55813 16.2462i 0.401211 0.761635i
\(456\) −2.04272 7.26824i −0.0956594 0.340366i
\(457\) 2.87134i 0.134316i −0.997742 0.0671579i \(-0.978607\pi\)
0.997742 0.0671579i \(-0.0213931\pi\)
\(458\) −5.66028 0.998060i −0.264488 0.0466363i
\(459\) −21.1409 + 10.0055i −0.986774 + 0.467017i
\(460\) 0.430206 + 0.474105i 0.0200584 + 0.0221053i
\(461\) −2.47802 6.80830i −0.115413 0.317094i 0.868514 0.495664i \(-0.165075\pi\)
−0.983927 + 0.178570i \(0.942853\pi\)
\(462\) 9.18599 + 4.93050i 0.427371 + 0.229388i
\(463\) −30.3512 + 17.5233i −1.41054 + 0.814375i −0.995439 0.0954009i \(-0.969587\pi\)
−0.415100 + 0.909776i \(0.636253\pi\)
\(464\) −0.535665 + 0.927798i −0.0248676 + 0.0430720i
\(465\) 29.1542 2.03686i 1.35199 0.0944570i
\(466\) −12.8403 + 2.26410i −0.594817 + 0.104882i
\(467\) −2.99468 + 5.18694i −0.138577 + 0.240023i −0.926958 0.375164i \(-0.877586\pi\)
0.788381 + 0.615187i \(0.210920\pi\)
\(468\) −7.39986 2.18472i −0.342058 0.100989i
\(469\) −7.37826 8.79307i −0.340696 0.406026i
\(470\) 1.77732 13.0098i 0.0819815 0.600098i
\(471\) −0.0820184 2.64562i −0.00377921 0.121904i
\(472\) −3.62878 + 4.32461i −0.167028 + 0.199056i
\(473\) −0.914413 + 5.18590i −0.0420448 + 0.238448i
\(474\) −1.42364 + 0.568714i −0.0653898 + 0.0261219i
\(475\) −16.2887 14.4802i −0.747378 0.664399i
\(476\) 14.3724i 0.658756i
\(477\) −23.9924 + 15.9112i −1.09853 + 0.728522i
\(478\) −9.41552 7.90056i −0.430656 0.361363i
\(479\) −9.30109 + 25.5545i −0.424978 + 1.16762i 0.523847 + 0.851812i \(0.324496\pi\)
−0.948824 + 0.315804i \(0.897726\pi\)
\(480\) 0.936729 + 3.75800i 0.0427556 + 0.171528i
\(481\) 19.4535 16.3234i 0.887002 0.744283i
\(482\) −7.16336 12.4073i −0.326282 0.565137i
\(483\) 1.56710 + 0.226501i 0.0713055 + 0.0103062i
\(484\) −1.29303 7.33315i −0.0587742 0.333325i
\(485\) −3.15744 + 9.84656i −0.143372 + 0.447109i
\(486\) −3.00687 + 15.2957i −0.136394 + 0.693827i
\(487\) 19.2855 + 33.4034i 0.873908 + 1.51365i 0.857921 + 0.513782i \(0.171756\pi\)
0.0159876 + 0.999872i \(0.494911\pi\)
\(488\) 7.69235 + 9.16739i 0.348216 + 0.414988i
\(489\) −21.4356 23.9948i −0.969349 1.08508i
\(490\) −5.29100 + 4.80108i −0.239023 + 0.216891i
\(491\) 15.8174 18.8504i 0.713828 0.850707i −0.280188 0.959945i \(-0.590397\pi\)
0.994016 + 0.109238i \(0.0348411\pi\)
\(492\) 2.97784 + 14.2844i 0.134251 + 0.643990i
\(493\) 4.82230 0.217185
\(494\) −11.1843 + 0.766827i −0.503205 + 0.0345012i
\(495\) −3.43730 12.1697i −0.154495 0.546989i
\(496\) −7.43128 1.31034i −0.333674 0.0588358i
\(497\) 21.3879 25.4890i 0.959376 1.14334i
\(498\) 0.418219 + 13.4902i 0.0187408 + 0.604511i
\(499\) 6.19912 2.25629i 0.277511 0.101006i −0.199516 0.979895i \(-0.563937\pi\)
0.477026 + 0.878889i \(0.341715\pi\)
\(500\) 8.13171 + 7.67303i 0.363661 + 0.343148i
\(501\) −1.55213 + 1.97069i −0.0693441 + 0.0880438i
\(502\) 1.91436 3.31577i 0.0854420 0.147990i
\(503\) 1.59978 + 9.07278i 0.0713304 + 0.404535i 0.999478 + 0.0323214i \(0.0102900\pi\)
−0.928147 + 0.372214i \(0.878599\pi\)
\(504\) 7.70522 + 5.69087i 0.343218 + 0.253492i
\(505\) 6.19071 + 9.82277i 0.275483 + 0.437108i
\(506\) 0.269861 + 0.467413i 0.0119968 + 0.0207791i
\(507\) 5.23052 9.74495i 0.232295 0.432788i
\(508\) 6.15086 2.23873i 0.272900 0.0993276i
\(509\) −24.8094 9.02989i −1.09966 0.400243i −0.272468 0.962165i \(-0.587840\pi\)
−0.827190 + 0.561922i \(0.810062\pi\)
\(510\) 12.5411 12.1093i 0.555331 0.536210i
\(511\) 2.75844 15.6439i 0.122026 0.692045i
\(512\) 1.00000i 0.0441942i
\(513\) 3.64047 + 22.3550i 0.160731 + 0.986998i
\(514\) −28.8798 −1.27383
\(515\) 24.1561 31.1652i 1.06445 1.37330i
\(516\) −1.51311 + 4.59559i −0.0666111 + 0.202310i
\(517\) 3.78613 10.4023i 0.166514 0.457493i
\(518\) −29.6262 + 10.7831i −1.30170 + 0.473780i
\(519\) 26.9514 + 14.4660i 1.18304 + 0.634985i
\(520\) 5.74657 0.222849i 0.252004 0.00977256i
\(521\) −0.0270266 + 0.0468115i −0.00118406 + 0.00205085i −0.866617 0.498974i \(-0.833710\pi\)
0.865433 + 0.501025i \(0.167044\pi\)
\(522\) 1.90944 2.58530i 0.0835737 0.113155i
\(523\) −7.73008 43.8395i −0.338013 1.91697i −0.395185 0.918601i \(-0.629320\pi\)
0.0571726 0.998364i \(-0.481791\pi\)
\(524\) −7.99184 4.61409i −0.349125 0.201568i
\(525\) 27.5918 + 1.82430i 1.20421 + 0.0796188i
\(526\) 4.18854 + 4.99171i 0.182629 + 0.217649i
\(527\) 11.6170 + 31.9175i 0.506046 + 1.39035i
\(528\) 0.101176 + 3.26358i 0.00440313 + 0.142029i
\(529\) −17.5562 14.7314i −0.763314 0.640497i
\(530\) 13.1456 16.9599i 0.571007 0.736690i
\(531\) 12.2746 11.6691i 0.532671 0.506395i
\(532\) 13.3735 + 3.85445i 0.579816 + 0.167112i
\(533\) 21.6665 0.938479
\(534\) 27.8348 5.80268i 1.20453 0.251106i
\(535\) −7.82195 + 3.19539i −0.338172 + 0.138149i
\(536\) 1.22954 3.37812i 0.0531079 0.145913i
\(537\) −17.1639 + 15.3332i −0.740675 + 0.661675i
\(538\) 0.107279 + 0.127850i 0.00462512 + 0.00551201i
\(539\) −5.21632 + 3.01164i −0.224683 + 0.129721i
\(540\) −1.52620 11.5183i −0.0656772 0.495668i
\(541\) −5.70649 32.3631i −0.245341 1.39140i −0.819699 0.572794i \(-0.805859\pi\)
0.574358 0.818604i \(-0.305252\pi\)
\(542\) 5.85499 1.03239i 0.251493 0.0443450i
\(543\) 37.3173 + 5.39366i 1.60144 + 0.231464i
\(544\) −3.89818 + 2.25061i −0.167133 + 0.0964943i
\(545\) 7.27228 + 33.5767i 0.311510 + 1.43827i
\(546\) 10.6073 9.47594i 0.453951 0.405533i
\(547\) 4.08846 + 1.48808i 0.174810 + 0.0636257i 0.427942 0.903806i \(-0.359239\pi\)
−0.253132 + 0.967432i \(0.581461\pi\)
\(548\) −4.52068 3.79330i −0.193114 0.162042i
\(549\) −19.8422 29.9200i −0.846845 1.27695i
\(550\) 5.33083 + 7.77337i 0.227307 + 0.331458i
\(551\) 1.29327 4.48716i 0.0550951 0.191160i
\(552\) 0.183964 + 0.460509i 0.00783003 + 0.0196006i
\(553\) 0.490746 2.78316i 0.0208686 0.118352i
\(554\) 23.4409 + 19.6692i 0.995907 + 0.835665i
\(555\) 34.3705 + 16.7662i 1.45895 + 0.711687i
\(556\) 13.7027 4.98737i 0.581124 0.211512i
\(557\) −12.7436 + 10.6931i −0.539962 + 0.453082i −0.871525 0.490351i \(-0.836869\pi\)
0.331563 + 0.943433i \(0.392424\pi\)
\(558\) 21.7113 + 6.41000i 0.919112 + 0.271357i
\(559\) 6.22173 + 3.59212i 0.263151 + 0.151930i
\(560\) −6.79874 2.18012i −0.287299 0.0921267i
\(561\) 12.4943 7.73946i 0.527510 0.326760i
\(562\) −27.0467 15.6154i −1.14090 0.658698i
\(563\) 17.4597 10.0804i 0.735840 0.424838i −0.0847147 0.996405i \(-0.526998\pi\)
0.820555 + 0.571568i \(0.193665\pi\)
\(564\) 4.81010 8.96167i 0.202542 0.377354i
\(565\) 5.45647 39.9410i 0.229555 1.68033i
\(566\) 11.3528 + 4.13207i 0.477192 + 0.173684i
\(567\) −21.0519 19.5608i −0.884098 0.821475i
\(568\) 10.2625 + 1.80956i 0.430606 + 0.0759275i
\(569\) −23.8006 −0.997772 −0.498886 0.866668i \(-0.666257\pi\)
−0.498886 + 0.866668i \(0.666257\pi\)
\(570\) −7.90444 14.9171i −0.331080 0.624809i
\(571\) 5.58010 0.233520 0.116760 0.993160i \(-0.462749\pi\)
0.116760 + 0.993160i \(0.462749\pi\)
\(572\) 4.77467 + 0.841903i 0.199639 + 0.0352017i
\(573\) 2.46269 7.47963i 0.102881 0.312466i
\(574\) −25.2767 9.19998i −1.05503 0.384000i
\(575\) 1.16458 + 0.832478i 0.0485663 + 0.0347168i
\(576\) −0.336936 + 2.98102i −0.0140390 + 0.124209i
\(577\) 10.8693 6.27539i 0.452495 0.261248i −0.256388 0.966574i \(-0.582533\pi\)
0.708883 + 0.705326i \(0.249199\pi\)
\(578\) 2.82416 + 1.63053i 0.117470 + 0.0678212i
\(579\) −13.8826 22.4116i −0.576941 0.931393i
\(580\) −0.731485 + 2.28115i −0.0303733 + 0.0947197i
\(581\) −21.5474 12.4404i −0.893936 0.516114i
\(582\) −4.95591 + 6.29234i −0.205429 + 0.260826i
\(583\) 13.8580 11.6282i 0.573938 0.481591i
\(584\) 4.67501 1.70156i 0.193453 0.0704112i
\(585\) −17.2057 1.27191i −0.711369 0.0525870i
\(586\) 16.3728 + 13.7384i 0.676354 + 0.567528i
\(587\) −6.10638 + 34.6310i −0.252037 + 1.42937i 0.551528 + 0.834157i \(0.314045\pi\)
−0.803565 + 0.595217i \(0.797066\pi\)
\(588\) −5.13927 + 2.05303i −0.211940 + 0.0846656i
\(589\) 32.8149 2.24988i 1.35211 0.0927048i
\(590\) −5.88335 + 11.1686i −0.242214 + 0.459804i
\(591\) 8.56061 + 41.0644i 0.352137 + 1.68916i
\(592\) −7.56393 6.34689i −0.310876 0.260856i
\(593\) −7.31195 2.66133i −0.300266 0.109288i 0.187494 0.982266i \(-0.439964\pi\)
−0.487760 + 0.872978i \(0.662186\pi\)
\(594\) 0.798009 9.76287i 0.0327427 0.400576i
\(595\) 6.80286 + 31.4093i 0.278890 + 1.28766i
\(596\) −1.84943 + 1.06777i −0.0757555 + 0.0437375i
\(597\) 3.92917 27.1849i 0.160810 1.11260i
\(598\) 0.725154 0.127864i 0.0296537 0.00522875i
\(599\) 1.69976 + 9.63984i 0.0694505 + 0.393873i 0.999641 + 0.0267959i \(0.00853043\pi\)
−0.930190 + 0.367077i \(0.880358\pi\)
\(600\) 3.82589 + 7.76933i 0.156191 + 0.317182i
\(601\) 1.41583 0.817430i 0.0577530 0.0333437i −0.470845 0.882216i \(-0.656051\pi\)
0.528598 + 0.848872i \(0.322718\pi\)
\(602\) −5.73317 6.83253i −0.233667 0.278473i
\(603\) −4.80348 + 9.65598i −0.195613 + 0.393222i
\(604\) −0.328531 + 0.902633i −0.0133678 + 0.0367276i
\(605\) −6.29679 15.4138i −0.256001 0.626661i
\(606\) 1.83545 + 8.80444i 0.0745599 + 0.357656i
\(607\) −14.8461 −0.602586 −0.301293 0.953532i \(-0.597418\pi\)
−0.301293 + 0.953532i \(0.597418\pi\)
\(608\) 1.04877 + 4.23085i 0.0425333 + 0.171584i
\(609\) 2.19798 + 5.50211i 0.0890667 + 0.222957i
\(610\) 21.1500 + 16.3934i 0.856340 + 0.663748i
\(611\) −11.5693 9.70776i −0.468042 0.392734i
\(612\) 12.3789 5.39569i 0.500386 0.218108i
\(613\) −4.89523 13.4495i −0.197716 0.543221i 0.800725 0.599032i \(-0.204448\pi\)
−0.998441 + 0.0558110i \(0.982226\pi\)
\(614\) 1.87133 + 2.23016i 0.0755206 + 0.0900020i
\(615\) 13.2690 + 29.8075i 0.535057 + 1.20196i
\(616\) −5.21278 3.00960i −0.210029 0.121260i
\(617\) −2.83935 16.1028i −0.114308 0.648273i −0.987090 0.160164i \(-0.948798\pi\)
0.872782 0.488110i \(-0.162313\pi\)
\(618\) 25.9651 16.0838i 1.04447 0.646984i
\(619\) 21.6943 37.5757i 0.871969 1.51029i 0.0120124 0.999928i \(-0.496176\pi\)
0.859957 0.510367i \(-0.170490\pi\)
\(620\) −16.8605 + 0.653842i −0.677135 + 0.0262589i
\(621\) −0.393238 1.43477i −0.0157801 0.0575754i
\(622\) 4.80317 1.74821i 0.192590 0.0700969i
\(623\) −17.9273 + 49.2548i −0.718241 + 1.97335i
\(624\) 4.23117 + 1.39313i 0.169382 + 0.0557697i
\(625\) 21.4029 + 12.9196i 0.856115 + 0.516785i
\(626\) −17.7595 −0.709811
\(627\) −3.85081 13.7016i −0.153786 0.547189i
\(628\) 1.52818i 0.0609811i
\(629\) −7.71782 + 43.7699i −0.307730 + 1.74522i
\(630\) 19.5326 + 8.78971i 0.778198 + 0.350190i
\(631\) −24.2851 8.83905i −0.966774 0.351877i −0.190089 0.981767i \(-0.560878\pi\)
−0.776684 + 0.629890i \(0.783100\pi\)
\(632\) 0.831717 0.302720i 0.0330839 0.0120416i
\(633\) −0.329377 0.176790i −0.0130916 0.00702679i
\(634\) −8.12091 14.0658i −0.322522 0.558625i
\(635\) 12.3824 7.80390i 0.491381 0.309688i
\(636\) 14.1300 8.75268i 0.560291 0.347066i
\(637\) 1.42696 + 8.09269i 0.0565382 + 0.320644i
\(638\) −1.00980 + 1.74902i −0.0399783 + 0.0692445i
\(639\) −29.9831 8.85215i −1.18611 0.350186i
\(640\) −0.473329 2.18540i −0.0187100 0.0863854i
\(641\) −15.5031 + 5.64265i −0.612334 + 0.222871i −0.629524 0.776981i \(-0.716750\pi\)
0.0171901 + 0.999852i \(0.494528\pi\)
\(642\) −6.54178 + 0.202806i −0.258184 + 0.00800411i
\(643\) −24.3479 + 29.0167i −0.960189 + 1.14431i 0.0292811 + 0.999571i \(0.490678\pi\)
−0.989470 + 0.144737i \(0.953766\pi\)
\(644\) −0.900279 0.158743i −0.0354760 0.00625537i
\(645\) −1.13153 + 10.7594i −0.0445538 + 0.423651i
\(646\) 14.1322 13.6103i 0.556025 0.535490i
\(647\) 16.5508 0.650681 0.325340 0.945597i \(-0.394521\pi\)
0.325340 + 0.945597i \(0.394521\pi\)
\(648\) 2.00883 8.77295i 0.0789142 0.344634i
\(649\) −6.84073 + 8.15246i −0.268522 + 0.320012i
\(650\) 12.4530 3.20703i 0.488449 0.125790i
\(651\) −31.1220 + 27.8026i −1.21977 + 1.08967i
\(652\) 11.9406 + 14.2303i 0.467630 + 0.557300i
\(653\) −6.56709 11.3745i −0.256990 0.445120i 0.708444 0.705767i \(-0.249397\pi\)
−0.965434 + 0.260647i \(0.916064\pi\)
\(654\) −3.80673 + 26.3377i −0.148855 + 1.02989i
\(655\) −19.6493 6.30085i −0.767763 0.246194i
\(656\) −1.46288 8.29640i −0.0571159 0.323920i
\(657\) −14.5096 + 3.49722i −0.566074 + 0.136439i
\(658\) 9.37494 + 16.2379i 0.365473 + 0.633018i
\(659\) −31.3378 + 26.2955i −1.22075 + 1.02433i −0.221961 + 0.975056i \(0.571246\pi\)
−0.998785 + 0.0492720i \(0.984310\pi\)
\(660\) 1.76586 + 7.08432i 0.0687359 + 0.275757i
\(661\) −12.8377 + 35.2714i −0.499330 + 1.37190i 0.392593 + 0.919712i \(0.371578\pi\)
−0.891923 + 0.452187i \(0.850644\pi\)
\(662\) 7.73277 + 6.48857i 0.300543 + 0.252185i
\(663\) −4.09208 19.6293i −0.158923 0.762337i
\(664\) 7.79233i 0.302401i
\(665\) 31.0509 + 2.09342i 1.20410 + 0.0811793i
\(666\) 20.4097 + 21.4688i 0.790860 + 0.831898i
\(667\) −0.0532625 + 0.302067i −0.00206233 + 0.0116961i
\(668\) 0.930949 1.10946i 0.0360195 0.0429264i
\(669\) 23.1059 0.716320i 0.893325 0.0276945i
\(670\) 1.08806 7.96452i 0.0420354 0.307696i
\(671\) 14.5011 + 17.2817i 0.559809 + 0.667154i
\(672\) −4.34466 3.42190i −0.167599 0.132003i
\(673\) −14.3693 + 24.8884i −0.553898 + 0.959379i 0.444091 + 0.895982i \(0.353527\pi\)
−0.997988 + 0.0633971i \(0.979807\pi\)
\(674\) 32.6297 5.75350i 1.25685 0.221617i
\(675\) −8.78729 24.4496i −0.338223 0.941066i
\(676\) −3.19273 + 5.52997i −0.122797 + 0.212691i
\(677\) 7.88431 4.55201i 0.303019 0.174948i −0.340780 0.940143i \(-0.610691\pi\)
0.643798 + 0.765195i \(0.277358\pi\)
\(678\) 14.7673 27.5129i 0.567135 1.05663i
\(679\) −5.05012 13.8751i −0.193806 0.532477i
\(680\) −7.45379 + 6.76361i −0.285840 + 0.259373i
\(681\) 4.79593 14.5661i 0.183780 0.558173i
\(682\) −14.0089 2.47016i −0.536430 0.0945871i
\(683\) 20.7524i 0.794069i −0.917804 0.397035i \(-0.870039\pi\)
0.917804 0.397035i \(-0.129961\pi\)
\(684\) −1.70088 12.9656i −0.0650348 0.495752i
\(685\) −11.6750 6.15010i −0.446077 0.234983i
\(686\) −2.10962 + 11.9643i −0.0805457 + 0.456797i
\(687\) −9.45578 3.11335i −0.360761 0.118782i
\(688\) 0.955393 2.62492i 0.0364240 0.100074i
\(689\) −8.44121 23.1920i −0.321585 0.883546i
\(690\) 0.620007 + 0.919320i 0.0236033 + 0.0349979i
\(691\) −12.7193 22.0305i −0.483865 0.838079i 0.515963 0.856611i \(-0.327434\pi\)
−0.999828 + 0.0185318i \(0.994101\pi\)
\(692\) −15.2942 8.83008i −0.581397 0.335669i
\(693\) 14.5253 + 10.7280i 0.551772 + 0.407525i
\(694\) −8.43464 + 1.48725i −0.320174 + 0.0564554i
\(695\) 27.5852 17.3853i 1.04636 0.659461i
\(696\) −1.14814 + 1.45775i −0.0435199 + 0.0552557i
\(697\) −29.0485 + 24.3746i −1.10029 + 0.923253i
\(698\) −7.81687 21.4767i −0.295873 0.812904i
\(699\) −22.5723 + 0.699779i −0.853764 + 0.0264681i
\(700\) −15.8899 1.54637i −0.600580 0.0584475i
\(701\) −23.4423 4.13352i −0.885405 0.156121i −0.287589 0.957754i \(-0.592854\pi\)
−0.597816 + 0.801633i \(0.703965\pi\)
\(702\) −12.1438 5.57858i −0.458339 0.210550i
\(703\) 38.6583 + 18.9199i 1.45802 + 0.713577i
\(704\) 1.88513i 0.0710486i
\(705\) 6.27016 21.8616i 0.236148 0.823354i
\(706\) 7.28291 8.67944i 0.274096 0.326655i
\(707\) −15.5798 5.67058i −0.585938 0.213264i
\(708\) −7.29209 + 6.51431i −0.274053 + 0.244823i
\(709\) −19.3417 + 16.2296i −0.726394 + 0.609517i −0.929146 0.369713i \(-0.879456\pi\)
0.202752 + 0.979230i \(0.435012\pi\)
\(710\) 23.2842 0.902949i 0.873841 0.0338871i
\(711\) −2.58136 + 0.622179i −0.0968086 + 0.0233335i
\(712\) −16.1665 + 2.85060i −0.605867 + 0.106831i
\(713\) −2.12761 + 0.375155i −0.0796797 + 0.0140497i
\(714\) −3.56101 + 24.6376i −0.133267 + 0.922040i
\(715\) 10.8330 0.420099i 0.405133 0.0157108i
\(716\) 10.1791 8.54129i 0.380411 0.319203i
\(717\) −14.1829 15.8763i −0.529671 0.592911i
\(718\) 9.63819 + 3.50801i 0.359694 + 0.130918i
\(719\) 22.0987 26.3362i 0.824141 0.982174i −0.175856 0.984416i \(-0.556269\pi\)
0.999997 + 0.00224233i \(0.000713756\pi\)
\(720\) 0.674665 + 6.67419i 0.0251433 + 0.248732i
\(721\) 56.3050i 2.09691i
\(722\) −8.87438 16.8002i −0.330270 0.625237i
\(723\) −9.20557 23.0439i −0.342359 0.857012i
\(724\) −21.4383 3.78015i −0.796748 0.140488i
\(725\) −0.518849 + 5.33146i −0.0192696 + 0.198005i
\(726\) −0.399646 12.8911i −0.0148323 0.478435i
\(727\) −6.60624 18.1505i −0.245012 0.673164i −0.999851 0.0172546i \(-0.994507\pi\)
0.754839 0.655910i \(-0.227715\pi\)
\(728\) −6.29072 + 5.27854i −0.233150 + 0.195636i
\(729\) −8.94427 + 25.4755i −0.331269 + 0.943536i
\(730\) 9.41135 5.93141i 0.348330 0.219531i
\(731\) −12.3826 + 2.18339i −0.457988 + 0.0807557i
\(732\) 10.9151 + 17.6210i 0.403435 + 0.651291i
\(733\) −15.0617 8.69587i −0.556316 0.321189i 0.195350 0.980734i \(-0.437416\pi\)
−0.751666 + 0.659545i \(0.770749\pi\)
\(734\) −3.47154 6.01288i −0.128137 0.221940i
\(735\) −10.2596 + 6.91926i −0.378430 + 0.255221i
\(736\) −0.0979220 0.269039i −0.00360945 0.00991689i
\(737\) 2.31784 6.36821i 0.0853787 0.234576i
\(738\) 1.56551 + 25.2246i 0.0576274 + 0.928532i
\(739\) −5.42610 + 30.7729i −0.199602 + 1.13200i 0.706108 + 0.708104i \(0.250449\pi\)
−0.905710 + 0.423897i \(0.860662\pi\)
\(740\) −19.5344 10.2902i −0.718097 0.378277i
\(741\) −19.3625 1.45658i −0.711300 0.0535089i
\(742\) 30.6408i 1.12486i
\(743\) −16.0959 2.83815i −0.590503 0.104122i −0.129591 0.991568i \(-0.541366\pi\)
−0.460912 + 0.887446i \(0.652478\pi\)
\(744\) −12.4143 4.08746i −0.455131 0.149854i
\(745\) −3.53633 + 3.20889i −0.129561 + 0.117564i
\(746\) −0.351197 0.964906i −0.0128582 0.0353277i
\(747\) −2.62552 + 23.2291i −0.0960626 + 0.849907i
\(748\) −7.34858 + 4.24271i −0.268691 + 0.155129i
\(749\) 6.03269 10.4489i 0.220430 0.381795i
\(750\) 12.0386 + 15.1682i 0.439586 + 0.553863i
\(751\) −32.2022 + 5.67811i −1.17507 + 0.207197i −0.726896 0.686747i \(-0.759038\pi\)
−0.448178 + 0.893944i \(0.647927\pi\)
\(752\) −2.93611 + 5.08548i −0.107069 + 0.185449i
\(753\) 4.10321 5.20970i 0.149529 0.189852i
\(754\) 1.77109 + 2.11070i 0.0644992 + 0.0768672i
\(755\) −0.290729 + 2.12811i −0.0105807 + 0.0774500i
\(756\) 11.7986 + 11.6646i 0.429109 + 0.424238i
\(757\) −32.4060 + 38.6199i −1.17781 + 1.40366i −0.281897 + 0.959445i \(0.590964\pi\)
−0.895918 + 0.444220i \(0.853481\pi\)
\(758\) 3.83881 21.7710i 0.139432 0.790758i
\(759\) 0.346796 + 0.868121i 0.0125879 + 0.0315108i
\(760\) 4.29457 + 8.74967i 0.155780 + 0.317384i
\(761\) 41.7929i 1.51499i −0.652839 0.757497i \(-0.726422\pi\)
0.652839 0.757497i \(-0.273578\pi\)
\(762\) 11.0987 2.31373i 0.402064 0.0838176i
\(763\) −37.5801 31.5335i −1.36049 1.14159i
\(764\) −1.55497 + 4.27224i −0.0562567 + 0.154564i
\(765\) 24.4988 17.6510i 0.885755 0.638173i
\(766\) −21.8765 + 18.3565i −0.790429 + 0.663248i
\(767\) 7.25960 + 12.5740i 0.262129 + 0.454021i
\(768\) 0.247768 1.71424i 0.00894055 0.0618572i
\(769\) −7.15493 40.5776i −0.258013 1.46327i −0.788218 0.615396i \(-0.788996\pi\)
0.530205 0.847870i \(-0.322115\pi\)
\(770\) −12.8165 4.10981i −0.461875 0.148107i
\(771\) −49.5069 7.15549i −1.78295 0.257699i
\(772\) 7.61032 + 13.1815i 0.273902 + 0.474411i
\(773\) 7.79385 + 9.28835i 0.280325 + 0.334079i 0.887774 0.460281i \(-0.152251\pi\)
−0.607448 + 0.794359i \(0.707807\pi\)