Properties

Label 960.2.cn.a.611.90
Level $960$
Weight $2$
Character 960.611
Analytic conductor $7.666$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 960 = 2^{6} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 960.cn (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.66563859404\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(128\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 611.90
Character \(\chi\) \(=\) 960.611
Dual form 960.2.cn.a.11.90

$q$-expansion

\(f(q)\) \(=\) \(q+(0.831887 - 1.14366i) q^{2} +(-1.72307 + 0.176174i) q^{3} +(-0.615929 - 1.90280i) q^{4} +(-0.831470 - 0.555570i) q^{5} +(-1.23191 + 2.11717i) q^{6} +(-1.53037 - 3.69465i) q^{7} +(-2.68854 - 0.878495i) q^{8} +(2.93793 - 0.607119i) q^{9} +O(q^{10})\) \(q+(0.831887 - 1.14366i) q^{2} +(-1.72307 + 0.176174i) q^{3} +(-0.615929 - 1.90280i) q^{4} +(-0.831470 - 0.555570i) q^{5} +(-1.23191 + 2.11717i) q^{6} +(-1.53037 - 3.69465i) q^{7} +(-2.68854 - 0.878495i) q^{8} +(2.93793 - 0.607119i) q^{9} +(-1.32707 + 0.488749i) q^{10} +(-0.519857 - 2.61350i) q^{11} +(1.39651 + 3.17014i) q^{12} +(2.12901 + 3.18628i) q^{13} +(-5.49853 - 1.32330i) q^{14} +(1.53056 + 0.810802i) q^{15} +(-3.24126 + 2.34397i) q^{16} +(-1.81246 + 1.81246i) q^{17} +(1.74968 - 3.86505i) q^{18} +(-2.62842 - 3.93371i) q^{19} +(-0.545010 + 1.92431i) q^{20} +(3.28784 + 6.09652i) q^{21} +(-3.42142 - 1.57959i) q^{22} +(0.157368 - 0.379920i) q^{23} +(4.78730 + 1.04006i) q^{24} +(0.382683 + 0.923880i) q^{25} +(5.41512 + 0.215761i) q^{26} +(-4.95529 + 1.56369i) q^{27} +(-6.08756 + 5.18763i) q^{28} +(-7.83393 - 1.55827i) q^{29} +(2.20053 - 1.07594i) q^{30} +6.58057 q^{31} +(-0.0156458 + 5.65683i) q^{32} +(1.35618 + 4.41165i) q^{33} +(0.565082 + 3.58060i) q^{34} +(-0.780177 + 3.92222i) q^{35} +(-2.96478 - 5.21633i) q^{36} +(6.24903 + 4.17547i) q^{37} +(-6.68539 - 0.266374i) q^{38} +(-4.22976 - 5.11510i) q^{39} +(1.74737 + 2.22411i) q^{40} +(-0.724580 - 0.300131i) q^{41} +(9.70747 + 1.31143i) q^{42} +(2.05652 + 10.3388i) q^{43} +(-4.65276 + 2.59891i) q^{44} +(-2.78009 - 1.12742i) q^{45} +(-0.303588 - 0.496026i) q^{46} +(3.53608 + 3.53608i) q^{47} +(5.17197 - 4.60985i) q^{48} +(-6.35863 + 6.35863i) q^{49} +(1.37496 + 0.330902i) q^{50} +(2.80368 - 3.44230i) q^{51} +(4.75153 - 6.01359i) q^{52} +(-13.8731 + 2.75954i) q^{53} +(-2.33390 + 6.96799i) q^{54} +(-1.01974 + 2.46186i) q^{55} +(0.868740 + 11.2776i) q^{56} +(5.22197 + 6.31499i) q^{57} +(-8.29907 + 7.66307i) q^{58} +(3.36410 - 5.03474i) q^{59} +(0.600076 - 3.41173i) q^{60} +(-8.78985 - 1.74841i) q^{61} +(5.47429 - 7.52595i) q^{62} +(-6.73921 - 9.92548i) q^{63} +(6.45649 + 4.72374i) q^{64} -3.83211i q^{65} +(6.17363 + 2.11898i) q^{66} +(-0.123698 + 0.621873i) q^{67} +(4.56509 + 2.33239i) q^{68} +(-0.204224 + 0.682351i) q^{69} +(3.83667 + 4.15510i) q^{70} +(-6.97840 + 2.89055i) q^{71} +(-8.43208 - 0.948688i) q^{72} +(-6.92553 - 2.86865i) q^{73} +(9.97381 - 3.67327i) q^{74} +(-0.822153 - 1.52449i) q^{75} +(-5.86613 + 7.42424i) q^{76} +(-8.86038 + 5.92032i) q^{77} +(-9.36863 + 0.582233i) q^{78} +(-12.0007 - 12.0007i) q^{79} +(3.99725 - 0.148195i) q^{80} +(8.26281 - 3.56734i) q^{81} +(-0.946017 + 0.579000i) q^{82} +(1.02021 - 0.681680i) q^{83} +(9.57535 - 10.0111i) q^{84} +(2.51395 - 0.500056i) q^{85} +(13.5349 + 6.24876i) q^{86} +(13.7729 + 1.30486i) q^{87} +(-0.898288 + 7.48319i) q^{88} +(12.8800 - 5.33508i) q^{89} +(-3.60211 + 2.24160i) q^{90} +(8.51401 - 12.7421i) q^{91} +(-0.819837 - 0.0654353i) q^{92} +(-11.3388 + 1.15933i) q^{93} +(6.98569 - 1.10246i) q^{94} +4.73103i q^{95} +(-0.969628 - 9.74986i) q^{96} -6.06601i q^{97} +(1.98247 + 12.5618i) q^{98} +(-3.11401 - 7.36265i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024q + O(q^{10}) \) \( 1024q + 80q^{24} + 80q^{42} - 96q^{52} - 288q^{58} - 96q^{64} + 256q^{67} - 112q^{76} - 48q^{78} + 32q^{79} - 112q^{84} - 160q^{88} - 144q^{90} - 16q^{94} - 272q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).

\(n\) \(511\) \(577\) \(641\) \(901\)
\(\chi(n)\) \(-1\) \(1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.831887 1.14366i 0.588233 0.808692i
\(3\) −1.72307 + 0.176174i −0.994814 + 0.101714i
\(4\) −0.615929 1.90280i −0.307965 0.951398i
\(5\) −0.831470 0.555570i −0.371845 0.248459i
\(6\) −1.23191 + 2.11717i −0.502927 + 0.864329i
\(7\) −1.53037 3.69465i −0.578427 1.39645i −0.894224 0.447619i \(-0.852272\pi\)
0.315798 0.948826i \(-0.397728\pi\)
\(8\) −2.68854 0.878495i −0.950542 0.310595i
\(9\) 2.93793 0.607119i 0.979308 0.202373i
\(10\) −1.32707 + 0.488749i −0.419657 + 0.154556i
\(11\) −0.519857 2.61350i −0.156743 0.788000i −0.976538 0.215343i \(-0.930913\pi\)
0.819796 0.572656i \(-0.194087\pi\)
\(12\) 1.39651 + 3.17014i 0.403138 + 0.915139i
\(13\) 2.12901 + 3.18628i 0.590480 + 0.883715i 0.999586 0.0287713i \(-0.00915947\pi\)
−0.409106 + 0.912487i \(0.634159\pi\)
\(14\) −5.49853 1.32330i −1.46954 0.353666i
\(15\) 1.53056 + 0.810802i 0.395188 + 0.209348i
\(16\) −3.24126 + 2.34397i −0.810316 + 0.585994i
\(17\) −1.81246 + 1.81246i −0.439586 + 0.439586i −0.891873 0.452287i \(-0.850608\pi\)
0.452287 + 0.891873i \(0.350608\pi\)
\(18\) 1.74968 3.86505i 0.412404 0.911001i
\(19\) −2.62842 3.93371i −0.603001 0.902455i 0.396880 0.917871i \(-0.370093\pi\)
−0.999881 + 0.0154152i \(0.995093\pi\)
\(20\) −0.545010 + 1.92431i −0.121868 + 0.430289i
\(21\) 3.28784 + 6.09652i 0.717465 + 1.33037i
\(22\) −3.42142 1.57959i −0.729450 0.336770i
\(23\) 0.157368 0.379920i 0.0328135 0.0792187i −0.906623 0.421941i \(-0.861349\pi\)
0.939437 + 0.342722i \(0.111349\pi\)
\(24\) 4.78730 + 1.04006i 0.977204 + 0.212300i
\(25\) 0.382683 + 0.923880i 0.0765367 + 0.184776i
\(26\) 5.41512 + 0.215761i 1.06199 + 0.0423142i
\(27\) −4.95529 + 1.56369i −0.953645 + 0.300933i
\(28\) −6.08756 + 5.18763i −1.15044 + 0.980370i
\(29\) −7.83393 1.55827i −1.45472 0.289363i −0.596490 0.802621i \(-0.703438\pi\)
−0.858234 + 0.513258i \(0.828438\pi\)
\(30\) 2.20053 1.07594i 0.401760 0.196440i
\(31\) 6.58057 1.18191 0.590953 0.806706i \(-0.298752\pi\)
0.590953 + 0.806706i \(0.298752\pi\)
\(32\) −0.0156458 + 5.65683i −0.00276581 + 0.999996i
\(33\) 1.35618 + 4.41165i 0.236081 + 0.767970i
\(34\) 0.565082 + 3.58060i 0.0969107 + 0.614068i
\(35\) −0.780177 + 3.92222i −0.131874 + 0.662976i
\(36\) −2.96478 5.21633i −0.494130 0.869388i
\(37\) 6.24903 + 4.17547i 1.02733 + 0.686443i 0.950539 0.310604i \(-0.100531\pi\)
0.0767950 + 0.997047i \(0.475531\pi\)
\(38\) −6.68539 0.266374i −1.08451 0.0432115i
\(39\) −4.22976 5.11510i −0.677304 0.819072i
\(40\) 1.74737 + 2.22411i 0.276284 + 0.351663i
\(41\) −0.724580 0.300131i −0.113160 0.0468726i 0.325385 0.945582i \(-0.394506\pi\)
−0.438545 + 0.898709i \(0.644506\pi\)
\(42\) 9.70747 + 1.31143i 1.49789 + 0.202359i
\(43\) 2.05652 + 10.3388i 0.313616 + 1.57665i 0.740315 + 0.672260i \(0.234676\pi\)
−0.426699 + 0.904394i \(0.640324\pi\)
\(44\) −4.65276 + 2.59891i −0.701430 + 0.391801i
\(45\) −2.78009 1.12742i −0.414432 0.168066i
\(46\) −0.303588 0.496026i −0.0447616 0.0731350i
\(47\) 3.53608 + 3.53608i 0.515790 + 0.515790i 0.916295 0.400505i \(-0.131165\pi\)
−0.400505 + 0.916295i \(0.631165\pi\)
\(48\) 5.17197 4.60985i 0.746509 0.665375i
\(49\) −6.35863 + 6.35863i −0.908375 + 0.908375i
\(50\) 1.37496 + 0.330902i 0.194448 + 0.0467966i
\(51\) 2.80368 3.44230i 0.392594 0.482018i
\(52\) 4.75153 6.01359i 0.658918 0.833934i
\(53\) −13.8731 + 2.75954i −1.90562 + 0.379052i −0.999073 0.0430464i \(-0.986294\pi\)
−0.906550 + 0.422098i \(0.861294\pi\)
\(54\) −2.33390 + 6.96799i −0.317603 + 0.948224i
\(55\) −1.01974 + 2.46186i −0.137501 + 0.331957i
\(56\) 0.868740 + 11.2776i 0.116090 + 1.50704i
\(57\) 5.22197 + 6.31499i 0.691666 + 0.836441i
\(58\) −8.29907 + 7.66307i −1.08972 + 1.00621i
\(59\) 3.36410 5.03474i 0.437969 0.655467i −0.545170 0.838325i \(-0.683535\pi\)
0.983139 + 0.182858i \(0.0585350\pi\)
\(60\) 0.600076 3.41173i 0.0774695 0.440453i
\(61\) −8.78985 1.74841i −1.12542 0.223861i −0.402925 0.915233i \(-0.632007\pi\)
−0.722499 + 0.691372i \(0.757007\pi\)
\(62\) 5.47429 7.52595i 0.695235 0.955797i
\(63\) −6.73921 9.92548i −0.849061 1.25049i
\(64\) 6.45649 + 4.72374i 0.807062 + 0.590467i
\(65\) 3.83211i 0.475314i
\(66\) 6.17363 + 2.11898i 0.759921 + 0.260829i
\(67\) −0.123698 + 0.621873i −0.0151121 + 0.0759739i −0.987605 0.156957i \(-0.949832\pi\)
0.972493 + 0.232931i \(0.0748316\pi\)
\(68\) 4.56509 + 2.33239i 0.553598 + 0.282844i
\(69\) −0.204224 + 0.682351i −0.0245856 + 0.0821455i
\(70\) 3.83667 + 4.15510i 0.458570 + 0.496629i
\(71\) −6.97840 + 2.89055i −0.828184 + 0.343045i −0.756183 0.654360i \(-0.772938\pi\)
−0.0720003 + 0.997405i \(0.522938\pi\)
\(72\) −8.43208 0.948688i −0.993730 0.111804i
\(73\) −6.92553 2.86865i −0.810571 0.335750i −0.0613895 0.998114i \(-0.519553\pi\)
−0.749182 + 0.662364i \(0.769553\pi\)
\(74\) 9.97381 3.67327i 1.15943 0.427009i
\(75\) −0.822153 1.52449i −0.0949341 0.176033i
\(76\) −5.86613 + 7.42424i −0.672891 + 0.851619i
\(77\) −8.86038 + 5.92032i −1.00973 + 0.674683i
\(78\) −9.36863 + 0.582233i −1.06079 + 0.0659249i
\(79\) −12.0007 12.0007i −1.35018 1.35018i −0.885452 0.464730i \(-0.846151\pi\)
−0.464730 0.885452i \(-0.653849\pi\)
\(80\) 3.99725 0.148195i 0.446907 0.0165687i
\(81\) 8.26281 3.56734i 0.918090 0.396371i
\(82\) −0.946017 + 0.579000i −0.104470 + 0.0639399i
\(83\) 1.02021 0.681680i 0.111982 0.0748241i −0.498318 0.866994i \(-0.666049\pi\)
0.610300 + 0.792170i \(0.291049\pi\)
\(84\) 9.57535 10.0111i 1.04476 1.09230i
\(85\) 2.51395 0.500056i 0.272677 0.0542387i
\(86\) 13.5349 + 6.24876i 1.45951 + 0.673821i
\(87\) 13.7729 + 1.30486i 1.47661 + 0.139896i
\(88\) −0.898288 + 7.48319i −0.0957579 + 0.797711i
\(89\) 12.8800 5.33508i 1.36528 0.565517i 0.424775 0.905299i \(-0.360353\pi\)
0.940504 + 0.339782i \(0.110353\pi\)
\(90\) −3.60211 + 2.24160i −0.379696 + 0.236286i
\(91\) 8.51401 12.7421i 0.892511 1.33574i
\(92\) −0.819837 0.0654353i −0.0854739 0.00682210i
\(93\) −11.3388 + 1.15933i −1.17578 + 0.120216i
\(94\) 6.98569 1.10246i 0.720519 0.113710i
\(95\) 4.73103i 0.485394i
\(96\) −0.969628 9.74986i −0.0989622 0.995091i
\(97\) 6.06601i 0.615909i −0.951401 0.307955i \(-0.900355\pi\)
0.951401 0.307955i \(-0.0996445\pi\)
\(98\) 1.98247 + 12.5618i 0.200260 + 1.26893i
\(99\) −3.11401 7.36265i −0.312970 0.739974i
\(100\) 1.52225 1.29721i 0.152225 0.129721i
\(101\) 5.55610 8.31530i 0.552853 0.827403i −0.444817 0.895621i \(-0.646731\pi\)
0.997670 + 0.0682184i \(0.0217315\pi\)
\(102\) −1.60448 6.07007i −0.158868 0.601026i
\(103\) 10.2047 4.22694i 1.00550 0.416493i 0.181691 0.983356i \(-0.441843\pi\)
0.823812 + 0.566863i \(0.191843\pi\)
\(104\) −2.92478 10.4368i −0.286799 1.02341i
\(105\) 0.653306 6.89569i 0.0637562 0.672951i
\(106\) −8.38490 + 18.1618i −0.814414 + 1.76403i
\(107\) −12.6357 + 2.51340i −1.22154 + 0.242979i −0.763414 0.645909i \(-0.776478\pi\)
−0.458124 + 0.888888i \(0.651478\pi\)
\(108\) 6.02750 + 8.46577i 0.579996 + 0.814619i
\(109\) −5.04755 + 3.37267i −0.483468 + 0.323043i −0.773306 0.634033i \(-0.781398\pi\)
0.289838 + 0.957076i \(0.406398\pi\)
\(110\) 1.96724 + 3.21423i 0.187569 + 0.306464i
\(111\) −11.5031 6.09370i −1.09183 0.578388i
\(112\) 13.6205 + 8.38816i 1.28702 + 0.792607i
\(113\) 6.11758 + 6.11758i 0.575494 + 0.575494i 0.933658 0.358165i \(-0.116597\pi\)
−0.358165 + 0.933658i \(0.616597\pi\)
\(114\) 11.5663 0.718812i 1.08328 0.0673229i
\(115\) −0.341919 + 0.228463i −0.0318841 + 0.0213043i
\(116\) 1.86009 + 15.8661i 0.172705 + 1.47313i
\(117\) 8.18931 + 8.06850i 0.757102 + 0.745933i
\(118\) −2.95949 8.03573i −0.272443 0.739749i
\(119\) 9.47014 + 3.92266i 0.868126 + 0.359590i
\(120\) −3.40267 3.52446i −0.310620 0.321738i
\(121\) 3.60255 1.49222i 0.327504 0.135657i
\(122\) −9.31175 + 8.59814i −0.843046 + 0.778439i
\(123\) 1.30138 + 0.389494i 0.117341 + 0.0351195i
\(124\) −4.05317 12.5215i −0.363985 1.12446i
\(125\) 0.195090 0.980785i 0.0174494 0.0877241i
\(126\) −16.9577 0.549486i −1.51071 0.0489521i
\(127\) 10.4529i 0.927547i −0.885954 0.463774i \(-0.846495\pi\)
0.885954 0.463774i \(-0.153505\pi\)
\(128\) 10.7734 3.45444i 0.952246 0.305332i
\(129\) −5.36495 17.4522i −0.472357 1.53658i
\(130\) −4.38264 3.18788i −0.384383 0.279596i
\(131\) 12.5122 + 2.48883i 1.09319 + 0.217450i 0.708582 0.705629i \(-0.249335\pi\)
0.384612 + 0.923078i \(0.374335\pi\)
\(132\) 7.55916 5.29780i 0.657940 0.461114i
\(133\) −10.5112 + 15.7311i −0.911438 + 1.36406i
\(134\) 0.608310 + 0.658797i 0.0525500 + 0.0569114i
\(135\) 4.98891 + 1.45285i 0.429377 + 0.125041i
\(136\) 6.46511 3.28063i 0.554378 0.281312i
\(137\) 4.77431 11.5262i 0.407897 0.984750i −0.577793 0.816183i \(-0.696086\pi\)
0.985690 0.168567i \(-0.0539139\pi\)
\(138\) 0.610489 + 0.801202i 0.0519683 + 0.0682028i
\(139\) −11.6971 + 2.32671i −0.992138 + 0.197349i −0.664365 0.747408i \(-0.731298\pi\)
−0.327773 + 0.944757i \(0.606298\pi\)
\(140\) 7.94371 0.931290i 0.671366 0.0787084i
\(141\) −6.71586 5.46993i −0.565578 0.460651i
\(142\) −2.49943 + 10.3855i −0.209747 + 0.871536i
\(143\) 7.22056 7.22056i 0.603814 0.603814i
\(144\) −8.09951 + 8.85426i −0.674960 + 0.737855i
\(145\) 5.64795 + 5.64795i 0.469036 + 0.469036i
\(146\) −9.04202 + 5.53408i −0.748323 + 0.458004i
\(147\) 9.83612 12.0766i 0.811270 0.996059i
\(148\) 4.09610 14.4624i 0.336698 1.18880i
\(149\) 2.16138 + 10.8660i 0.177067 + 0.890176i 0.962511 + 0.271243i \(0.0874348\pi\)
−0.785444 + 0.618933i \(0.787565\pi\)
\(150\) −2.42744 0.327936i −0.198200 0.0267758i
\(151\) −20.4834 8.48448i −1.66691 0.690458i −0.668339 0.743857i \(-0.732994\pi\)
−0.998573 + 0.0533994i \(0.982994\pi\)
\(152\) 3.61087 + 12.8850i 0.292880 + 1.04511i
\(153\) −4.22449 + 6.42525i −0.341530 + 0.519451i
\(154\) −0.599986 + 15.0583i −0.0483482 + 1.21343i
\(155\) −5.47155 3.65597i −0.439485 0.293655i
\(156\) −7.12776 + 11.1989i −0.570678 + 0.896630i
\(157\) 2.62154 13.1794i 0.209222 1.05183i −0.723250 0.690587i \(-0.757352\pi\)
0.932472 0.361243i \(-0.117648\pi\)
\(158\) −23.7079 + 3.74153i −1.88610 + 0.297660i
\(159\) 23.4182 7.19896i 1.85718 0.570915i
\(160\) 3.15578 4.69479i 0.249486 0.371156i
\(161\) −1.64450 −0.129605
\(162\) 2.79389 12.4175i 0.219508 0.975611i
\(163\) −7.06124 1.40457i −0.553079 0.110014i −0.0893646 0.995999i \(-0.528484\pi\)
−0.463714 + 0.885985i \(0.653484\pi\)
\(164\) −0.124798 + 1.56359i −0.00974506 + 0.122096i
\(165\) 1.32336 4.42161i 0.103023 0.344222i
\(166\) 0.0690839 1.73385i 0.00536195 0.134573i
\(167\) −8.04625 19.4254i −0.622638 1.50318i −0.848595 0.529043i \(-0.822551\pi\)
0.225957 0.974137i \(-0.427449\pi\)
\(168\) −3.48372 19.2791i −0.268775 1.48741i
\(169\) −0.644841 + 1.55678i −0.0496031 + 0.119753i
\(170\) 1.51943 3.29111i 0.116535 0.252416i
\(171\) −10.1103 9.96119i −0.773157 0.761751i
\(172\) 18.4060 10.2811i 1.40344 0.783927i
\(173\) −5.49247 8.22007i −0.417585 0.624960i 0.561725 0.827324i \(-0.310138\pi\)
−0.979310 + 0.202364i \(0.935138\pi\)
\(174\) 12.9498 14.6661i 0.981724 1.11183i
\(175\) 2.82776 2.82776i 0.213759 0.213759i
\(176\) 7.81097 + 7.25250i 0.588774 + 0.546678i
\(177\) −4.90959 + 9.26786i −0.369027 + 0.696615i
\(178\) 4.61318 19.1686i 0.345773 1.43675i
\(179\) 0.194311 + 0.290807i 0.0145235 + 0.0217360i 0.838660 0.544655i \(-0.183339\pi\)
−0.824137 + 0.566391i \(0.808339\pi\)
\(180\) −0.432914 + 5.98436i −0.0322675 + 0.446048i
\(181\) 0.631934 + 3.17695i 0.0469713 + 0.236141i 0.997138 0.0756012i \(-0.0240876\pi\)
−0.950167 + 0.311742i \(0.899088\pi\)
\(182\) −7.49000 20.3372i −0.555195 1.50749i
\(183\) 15.4535 + 1.46409i 1.14236 + 0.108228i
\(184\) −0.756847 + 0.883182i −0.0557955 + 0.0651091i
\(185\) −2.87611 6.94355i −0.211456 0.510500i
\(186\) −8.10669 + 13.9322i −0.594412 + 1.02156i
\(187\) 5.67908 + 3.79464i 0.415296 + 0.277492i
\(188\) 4.55046 8.90640i 0.331876 0.649566i
\(189\) 13.3607 + 15.9150i 0.971850 + 1.15765i
\(190\) 5.41071 + 3.93568i 0.392534 + 0.285525i
\(191\) −15.0633 −1.08994 −0.544971 0.838455i \(-0.683459\pi\)
−0.544971 + 0.838455i \(0.683459\pi\)
\(192\) −11.9572 7.00185i −0.862935 0.505315i
\(193\) 12.4821 0.898478 0.449239 0.893412i \(-0.351695\pi\)
0.449239 + 0.893412i \(0.351695\pi\)
\(194\) −6.93746 5.04623i −0.498081 0.362298i
\(195\) 0.675118 + 6.60298i 0.0483462 + 0.472849i
\(196\) 16.0156 + 8.18270i 1.14397 + 0.584479i
\(197\) 0.171637 + 0.114684i 0.0122286 + 0.00817090i 0.561670 0.827362i \(-0.310159\pi\)
−0.549441 + 0.835533i \(0.685159\pi\)
\(198\) −11.0109 2.56352i −0.782510 0.182181i
\(199\) 2.33282 + 5.63193i 0.165369 + 0.399237i 0.984741 0.174026i \(-0.0556775\pi\)
−0.819372 + 0.573262i \(0.805678\pi\)
\(200\) −0.217236 2.82007i −0.0153609 0.199409i
\(201\) 0.103583 1.09332i 0.00730615 0.0771169i
\(202\) −4.88785 13.2717i −0.343908 0.933793i
\(203\) 6.23159 + 31.3283i 0.437372 + 2.19882i
\(204\) −8.27686 3.21462i −0.579496 0.225069i
\(205\) 0.435723 + 0.652105i 0.0304322 + 0.0455450i
\(206\) 3.65499 15.1871i 0.254655 1.05814i
\(207\) 0.231679 1.21172i 0.0161028 0.0842201i
\(208\) −14.3692 5.33724i −0.996327 0.370071i
\(209\) −8.91435 + 8.91435i −0.616618 + 0.616618i
\(210\) −7.34287 6.48360i −0.506706 0.447411i
\(211\) −11.3350 16.9640i −0.780334 1.16785i −0.982089 0.188416i \(-0.939665\pi\)
0.201756 0.979436i \(-0.435335\pi\)
\(212\) 13.7957 + 24.6981i 0.947494 + 1.69627i
\(213\) 11.5150 6.21002i 0.788996 0.425504i
\(214\) −7.63699 + 16.5418i −0.522054 + 1.13078i
\(215\) 4.03400 9.73895i 0.275117 0.664191i
\(216\) 14.6962 + 0.149141i 0.999949 + 0.0101478i
\(217\) −10.0707 24.3129i −0.683646 1.65047i
\(218\) −0.341798 + 8.57838i −0.0231495 + 0.581001i
\(219\) 12.4385 + 3.72278i 0.840518 + 0.251562i
\(220\) 5.31251 + 0.424018i 0.358169 + 0.0285873i
\(221\) −9.63374 1.91627i −0.648036 0.128902i
\(222\) −16.5384 + 8.08642i −1.10999 + 0.542725i
\(223\) −20.5232 −1.37434 −0.687168 0.726498i \(-0.741147\pi\)
−0.687168 + 0.726498i \(0.741147\pi\)
\(224\) 20.9239 8.59926i 1.39804 0.574562i
\(225\) 1.68520 + 2.48195i 0.112347 + 0.165464i
\(226\) 12.0856 1.90732i 0.803921 0.126873i
\(227\) −4.13598 + 20.7930i −0.274515 + 1.38008i 0.559726 + 0.828678i \(0.310906\pi\)
−0.834240 + 0.551401i \(0.814094\pi\)
\(228\) 8.79978 13.8259i 0.582780 0.915644i
\(229\) 14.0325 + 9.37625i 0.927297 + 0.619600i 0.924823 0.380397i \(-0.124213\pi\)
0.00247357 + 0.999997i \(0.499213\pi\)
\(230\) −0.0231532 + 0.581095i −0.00152668 + 0.0383163i
\(231\) 14.2240 11.7621i 0.935873 0.773888i
\(232\) 19.6929 + 11.0715i 1.29290 + 0.726881i
\(233\) −13.4786 5.58301i −0.883011 0.365755i −0.105347 0.994435i \(-0.533595\pi\)
−0.777664 + 0.628680i \(0.783595\pi\)
\(234\) 16.0402 2.65374i 1.04858 0.173480i
\(235\) −0.975601 4.90468i −0.0636412 0.319946i
\(236\) −11.6521 3.30016i −0.758489 0.214822i
\(237\) 22.7922 + 18.5638i 1.48051 + 1.20585i
\(238\) 12.3643 7.56744i 0.801457 0.490524i
\(239\) 8.83587 + 8.83587i 0.571545 + 0.571545i 0.932560 0.361015i \(-0.117570\pi\)
−0.361015 + 0.932560i \(0.617570\pi\)
\(240\) −6.86143 + 0.959562i −0.442903 + 0.0619395i
\(241\) −2.45694 + 2.45694i −0.158265 + 0.158265i −0.781798 0.623532i \(-0.785697\pi\)
0.623532 + 0.781798i \(0.285697\pi\)
\(242\) 1.29031 5.36146i 0.0829443 0.344648i
\(243\) −13.6089 + 7.60247i −0.873012 + 0.487698i
\(244\) 2.08706 + 17.8022i 0.133610 + 1.13967i
\(245\) 8.81967 1.75434i 0.563468 0.112081i
\(246\) 1.52805 1.16432i 0.0974247 0.0742344i
\(247\) 6.93799 16.7498i 0.441454 1.06576i
\(248\) −17.6921 5.78100i −1.12345 0.367094i
\(249\) −1.63779 + 1.35431i −0.103791 + 0.0858262i
\(250\) −0.959395 1.03902i −0.0606774 0.0657134i
\(251\) 1.04078 1.55764i 0.0656937 0.0983176i −0.797168 0.603757i \(-0.793670\pi\)
0.862862 + 0.505440i \(0.168670\pi\)
\(252\) −14.7353 + 18.9367i −0.928235 + 1.19290i
\(253\) −1.07473 0.213777i −0.0675676 0.0134400i
\(254\) −11.9546 8.69565i −0.750100 0.545614i
\(255\) −4.24362 + 1.30452i −0.265746 + 0.0816925i
\(256\) 5.01156 15.1949i 0.313223 0.949680i
\(257\) 20.4881i 1.27801i 0.769203 + 0.639005i \(0.220654\pi\)
−0.769203 + 0.639005i \(0.779346\pi\)
\(258\) −24.4224 8.38253i −1.52047 0.521874i
\(259\) 5.86354 29.4780i 0.364342 1.83167i
\(260\) −7.29172 + 2.36031i −0.452213 + 0.146380i
\(261\) −23.9615 + 0.178062i −1.48318 + 0.0110217i
\(262\) 13.2551 12.2393i 0.818902 0.756145i
\(263\) −16.0545 + 6.65000i −0.989965 + 0.410057i −0.818108 0.575065i \(-0.804977\pi\)
−0.171857 + 0.985122i \(0.554977\pi\)
\(264\) 0.229469 13.0523i 0.0141228 0.803313i
\(265\) 13.0682 + 5.41303i 0.802774 + 0.332520i
\(266\) 9.24698 + 25.1078i 0.566969 + 1.53946i
\(267\) −21.2532 + 11.4618i −1.30068 + 0.701452i
\(268\) 1.25949 0.147657i 0.0769354 0.00901960i
\(269\) 7.02472 4.69377i 0.428305 0.286184i −0.322674 0.946510i \(-0.604582\pi\)
0.750979 + 0.660326i \(0.229582\pi\)
\(270\) 5.81177 4.49703i 0.353693 0.273681i
\(271\) −11.2864 11.2864i −0.685600 0.685600i 0.275656 0.961256i \(-0.411105\pi\)
−0.961256 + 0.275656i \(0.911105\pi\)
\(272\) 1.62630 10.1230i 0.0986087 0.613798i
\(273\) −12.4254 + 23.4555i −0.752019 + 1.41959i
\(274\) −9.21041 15.0487i −0.556421 0.909125i
\(275\) 2.21562 1.48043i 0.133607 0.0892732i
\(276\) 1.42416 0.0316845i 0.0857245 0.00190718i
\(277\) −15.1495 + 3.01343i −0.910248 + 0.181060i −0.627938 0.778264i \(-0.716101\pi\)
−0.282310 + 0.959323i \(0.591101\pi\)
\(278\) −7.06973 + 15.3131i −0.424014 + 0.918421i
\(279\) 19.3332 3.99519i 1.15745 0.239186i
\(280\) 5.54318 9.85965i 0.331269 0.589227i
\(281\) −0.127649 + 0.0528739i −0.00761489 + 0.00315419i −0.386488 0.922295i \(-0.626312\pi\)
0.378873 + 0.925449i \(0.376312\pi\)
\(282\) −11.8426 + 3.13032i −0.705216 + 0.186408i
\(283\) 5.69258 8.51955i 0.338389 0.506435i −0.622779 0.782397i \(-0.713997\pi\)
0.961168 + 0.275963i \(0.0889966\pi\)
\(284\) 9.79832 + 11.4981i 0.581423 + 0.682286i
\(285\) −0.833485 8.15189i −0.0493714 0.482877i
\(286\) −2.25120 14.2646i −0.133116 0.843482i
\(287\) 3.13638i 0.185135i
\(288\) 3.38841 + 16.6289i 0.199664 + 0.979864i
\(289\) 10.4300i 0.613528i
\(290\) 11.1578 1.76090i 0.655209 0.103403i
\(291\) 1.06867 + 10.4521i 0.0626467 + 0.612715i
\(292\) −1.19281 + 14.9447i −0.0698042 + 0.874575i
\(293\) −4.43182 + 6.63269i −0.258910 + 0.387486i −0.938037 0.346535i \(-0.887358\pi\)
0.679127 + 0.734020i \(0.262358\pi\)
\(294\) −5.62899 21.2955i −0.328289 1.24198i
\(295\) −5.59430 + 2.31723i −0.325713 + 0.134915i
\(296\) −13.1326 16.7157i −0.763319 0.971578i
\(297\) 6.66275 + 12.1377i 0.386612 + 0.704303i
\(298\) 14.2250 + 6.56738i 0.824035 + 0.380438i
\(299\) 1.54557 0.307433i 0.0893825 0.0177793i
\(300\) −2.39440 + 2.50337i −0.138241 + 0.144532i
\(301\) 35.0510 23.4203i 2.02031 1.34993i
\(302\) −26.7432 + 16.3679i −1.53890 + 0.941868i
\(303\) −8.10860 + 15.3067i −0.465827 + 0.879345i
\(304\) 17.7399 + 6.58924i 1.01745 + 0.377919i
\(305\) 6.33713 + 6.33713i 0.362863 + 0.362863i
\(306\) 3.83402 + 10.1765i 0.219176 + 0.581750i
\(307\) −11.0786 + 7.40246i −0.632287 + 0.422481i −0.829988 0.557782i \(-0.811653\pi\)
0.197701 + 0.980262i \(0.436653\pi\)
\(308\) 16.7225 + 13.2130i 0.952854 + 0.752880i
\(309\) −16.8388 + 9.08112i −0.957925 + 0.516607i
\(310\) −8.73290 + 3.21625i −0.495995 + 0.182671i
\(311\) 6.12917 + 2.53878i 0.347553 + 0.143961i 0.549630 0.835409i \(-0.314769\pi\)
−0.202076 + 0.979370i \(0.564769\pi\)
\(312\) 6.87829 + 17.4680i 0.389406 + 0.988930i
\(313\) −5.36304 + 2.22145i −0.303137 + 0.125564i −0.529067 0.848580i \(-0.677458\pi\)
0.225930 + 0.974144i \(0.427458\pi\)
\(314\) −12.8920 13.9619i −0.727535 0.787917i
\(315\) 0.0891503 + 11.9968i 0.00502305 + 0.675945i
\(316\) −15.4433 + 30.2264i −0.868752 + 1.70037i
\(317\) −2.54258 + 12.7824i −0.142806 + 0.717933i 0.841331 + 0.540520i \(0.181773\pi\)
−0.984137 + 0.177412i \(0.943227\pi\)
\(318\) 11.2481 32.7713i 0.630763 1.83772i
\(319\) 21.2840i 1.19168i
\(320\) −2.74401 7.51468i −0.153395 0.420083i
\(321\) 21.3294 6.55683i 1.19049 0.365967i
\(322\) −1.36804 + 1.88075i −0.0762378 + 0.104810i
\(323\) 11.8936 + 2.36578i 0.661778 + 0.131636i
\(324\) −11.8772 13.5252i −0.659846 0.751401i
\(325\) −2.12901 + 3.18628i −0.118096 + 0.176743i
\(326\) −7.48050 + 6.90724i −0.414307 + 0.382556i
\(327\) 8.10310 6.70058i 0.448103 0.370543i
\(328\) 1.68440 + 1.44345i 0.0930054 + 0.0797014i
\(329\) 7.65304 18.4761i 0.421926 1.01862i
\(330\) −3.95594 5.19175i −0.217767 0.285797i
\(331\) −5.23461 + 1.04123i −0.287720 + 0.0572311i −0.336840 0.941562i \(-0.609358\pi\)
0.0491202 + 0.998793i \(0.484358\pi\)
\(332\) −1.92547 1.52138i −0.105674 0.0834964i
\(333\) 20.8942 + 8.47331i 1.14499 + 0.464335i
\(334\) −28.9096 6.95751i −1.58187 0.380698i
\(335\) 0.448345 0.448345i 0.0244957 0.0244957i
\(336\) −24.9468 12.0538i −1.36096 0.657589i
\(337\) 2.81400 + 2.81400i 0.153288 + 0.153288i 0.779585 0.626297i \(-0.215430\pi\)
−0.626297 + 0.779585i \(0.715430\pi\)
\(338\) 1.24400 + 2.03255i 0.0676647 + 0.110556i
\(339\) −11.6188 9.46325i −0.631045 0.513973i
\(340\) −2.49992 4.47554i −0.135577 0.242720i
\(341\) −3.42096 17.1983i −0.185255 0.931341i
\(342\) −19.8029 + 3.27624i −1.07082 + 0.177159i
\(343\) 7.36143 + 3.04920i 0.397480 + 0.164641i
\(344\) 3.55356 29.6029i 0.191595 1.59608i
\(345\) 0.548900 0.453894i 0.0295518 0.0244368i
\(346\) −13.9701 0.556627i −0.751037 0.0299244i
\(347\) −8.86303 5.92208i −0.475792 0.317914i 0.294449 0.955667i \(-0.404864\pi\)
−0.770241 + 0.637753i \(0.779864\pi\)
\(348\) −6.00025 27.0107i −0.321647 1.44793i
\(349\) 0.280506 1.41020i 0.0150152 0.0754863i −0.972551 0.232689i \(-0.925248\pi\)
0.987566 + 0.157203i \(0.0502476\pi\)
\(350\) −0.881628 5.58638i −0.0471250 0.298605i
\(351\) −15.5322 12.4598i −0.829047 0.665056i
\(352\) 14.7923 2.89986i 0.788430 0.154563i
\(353\) 23.3031 1.24030 0.620148 0.784485i \(-0.287072\pi\)
0.620148 + 0.784485i \(0.287072\pi\)
\(354\) 6.51509 + 13.3247i 0.346273 + 0.708201i
\(355\) 7.40823 + 1.47359i 0.393188 + 0.0782100i
\(356\) −18.0847 21.2220i −0.958489 1.12476i
\(357\) −17.0088 5.09062i −0.900199 0.269424i
\(358\) 0.494231 + 0.0196922i 0.0261209 + 0.00104076i
\(359\) 4.26567 + 10.2982i 0.225134 + 0.543520i 0.995573 0.0939929i \(-0.0299631\pi\)
−0.770439 + 0.637513i \(0.779963\pi\)
\(360\) 6.48396 + 5.47342i 0.341735 + 0.288474i
\(361\) −1.29450 + 3.12520i −0.0681316 + 0.164484i
\(362\) 4.15905 + 1.92014i 0.218595 + 0.100920i
\(363\) −5.94454 + 3.20588i −0.312008 + 0.168265i
\(364\) −29.4897 8.35218i −1.54568 0.437773i
\(365\) 4.16463 + 6.23281i 0.217987 + 0.326240i
\(366\) 14.5300 16.4557i 0.759495 0.860151i
\(367\) −15.5181 + 15.5181i −0.810037 + 0.810037i −0.984639 0.174602i \(-0.944136\pi\)
0.174602 + 0.984639i \(0.444136\pi\)
\(368\) 0.380452 + 1.60029i 0.0198324 + 0.0834207i
\(369\) −2.31098 0.441856i −0.120305 0.0230021i
\(370\) −10.3337 2.48694i −0.537223 0.129290i
\(371\) 31.4266 + 47.0332i 1.63159 + 2.44184i
\(372\) 9.18984 + 20.8613i 0.476471 + 1.08161i
\(373\) 1.20049 + 6.03525i 0.0621588 + 0.312493i 0.999339 0.0363522i \(-0.0115738\pi\)
−0.937180 + 0.348845i \(0.886574\pi\)
\(374\) 9.06414 3.33824i 0.468696 0.172616i
\(375\) −0.163365 + 1.72433i −0.00843614 + 0.0890440i
\(376\) −6.40046 12.6133i −0.330078 0.650481i
\(377\) −11.7134 28.2787i −0.603271 1.45642i
\(378\) 29.3160 2.04070i 1.50785 0.104962i
\(379\) 6.39024 + 4.26982i 0.328245 + 0.219326i 0.708762 0.705448i \(-0.249254\pi\)
−0.380517 + 0.924774i \(0.624254\pi\)
\(380\) 9.00219 2.91398i 0.461803 0.149484i
\(381\) 1.84153 + 18.0111i 0.0943446 + 0.922737i
\(382\) −12.5309 + 17.2273i −0.641139 + 0.881426i
\(383\) −15.0433 −0.768678 −0.384339 0.923192i \(-0.625571\pi\)
−0.384339 + 0.923192i \(0.625571\pi\)
\(384\) −17.9548 + 7.85023i −0.916251 + 0.400605i
\(385\) 10.6563 0.543095
\(386\) 10.3837 14.2753i 0.528514 0.726592i
\(387\) 12.3188 + 29.1261i 0.626199 + 1.48056i
\(388\) −11.5424 + 3.73623i −0.585975 + 0.189678i
\(389\) −10.7626 7.19136i −0.545687 0.364616i 0.251963 0.967737i \(-0.418924\pi\)
−0.797650 + 0.603121i \(0.793924\pi\)
\(390\) 8.11321 + 4.72083i 0.410828 + 0.239048i
\(391\) 0.403366 + 0.973812i 0.0203991 + 0.0492478i
\(392\) 22.6814 11.5094i 1.14559 0.581313i
\(393\) −21.9978 2.08410i −1.10964 0.105129i
\(394\) 0.273942 0.100891i 0.0138010 0.00508279i
\(395\) 3.31098 + 16.6454i 0.166594 + 0.837522i
\(396\) −12.0916 + 10.4602i −0.607626 + 0.525644i
\(397\) −17.2070 25.7520i −0.863592 1.29246i −0.954989 0.296643i \(-0.904133\pi\)
0.0913961 0.995815i \(-0.470867\pi\)
\(398\) 8.38167 + 2.01717i 0.420135 + 0.101111i
\(399\) 15.3401 28.9576i 0.767966 1.44969i
\(400\) −3.40593 2.09754i −0.170296 0.104877i
\(401\) 20.5543 20.5543i 1.02643 1.02643i 0.0267926 0.999641i \(-0.491471\pi\)
0.999641 0.0267926i \(-0.00852937\pi\)
\(402\) −1.16422 1.02798i −0.0580661 0.0512711i
\(403\) 14.0101 + 20.9676i 0.697891 + 1.04447i
\(404\) −19.2445 5.45049i −0.957448 0.271172i
\(405\) −8.85219 1.62444i −0.439869 0.0807189i
\(406\) 41.0130 + 18.9348i 2.03544 + 0.939717i
\(407\) 7.66398 18.5025i 0.379889 0.917134i
\(408\) −10.5619 + 6.79174i −0.522890 + 0.336241i
\(409\) 1.73134 + 4.17981i 0.0856090 + 0.206678i 0.960886 0.276943i \(-0.0893212\pi\)
−0.875277 + 0.483621i \(0.839321\pi\)
\(410\) 1.10826 + 0.0441577i 0.0547330 + 0.00218079i
\(411\) −6.19584 + 20.7015i −0.305618 + 1.02113i
\(412\) −14.3284 16.8140i −0.705910 0.828369i
\(413\) −23.7499 4.72415i −1.16866 0.232460i
\(414\) −1.19307 1.27297i −0.0586359 0.0625632i
\(415\) −1.22699 −0.0602307
\(416\) −18.0576 + 11.9936i −0.885345 + 0.588033i
\(417\) 19.7451 6.06980i 0.966920 0.297239i
\(418\) 2.77928 + 17.6107i 0.135939 + 0.861369i
\(419\) −2.18148 + 10.9670i −0.106572 + 0.535774i 0.890206 + 0.455559i \(0.150561\pi\)
−0.996778 + 0.0802148i \(0.974439\pi\)
\(420\) −13.5235 + 3.00415i −0.659878 + 0.146588i
\(421\) −31.3909 20.9747i −1.52990 1.02225i −0.982692 0.185248i \(-0.940691\pi\)
−0.547206 0.836998i \(-0.684309\pi\)
\(422\) −28.8306 1.14873i −1.40345 0.0559192i
\(423\) 12.5355 + 8.24191i 0.609499 + 0.400735i
\(424\) 39.7227 + 4.76835i 1.92911 + 0.231572i
\(425\) −2.36809 0.980896i −0.114869 0.0475804i
\(426\) 2.47702 18.3353i 0.120012 0.888350i
\(427\) 6.99199 + 35.1511i 0.338366 + 1.70108i
\(428\) 12.5652 + 22.4951i 0.607360 + 1.08734i
\(429\) −11.1694 + 13.7136i −0.539266 + 0.662099i
\(430\) −7.78224 12.7152i −0.375293 0.613183i
\(431\) 7.26035 + 7.26035i 0.349719 + 0.349719i 0.860005 0.510286i \(-0.170460\pi\)
−0.510286 + 0.860005i \(0.670460\pi\)
\(432\) 12.3961 16.6834i 0.596409 0.802681i
\(433\) −8.48094 + 8.48094i −0.407568 + 0.407568i −0.880890 0.473322i \(-0.843055\pi\)
0.473322 + 0.880890i \(0.343055\pi\)
\(434\) −36.1834 8.70805i −1.73686 0.418000i
\(435\) −10.7268 8.73678i −0.514312 0.418896i
\(436\) 9.52644 + 7.52714i 0.456234 + 0.360485i
\(437\) −1.90812 + 0.379549i −0.0912779 + 0.0181563i
\(438\) 14.6050 11.1286i 0.697856 0.531743i
\(439\) 10.2537 24.7545i 0.489380 1.18147i −0.465653 0.884968i \(-0.654180\pi\)
0.955033 0.296501i \(-0.0958197\pi\)
\(440\) 4.90434 5.72298i 0.233805 0.272832i
\(441\) −14.8207 + 22.5416i −0.705749 + 1.07341i
\(442\) −10.2057 + 9.42363i −0.485438 + 0.448236i
\(443\) 8.89410 13.3110i 0.422572 0.632423i −0.557708 0.830037i \(-0.688319\pi\)
0.980280 + 0.197614i \(0.0633192\pi\)
\(444\) −4.50996 + 25.6414i −0.214033 + 1.21689i
\(445\) −13.6733 2.71980i −0.648179 0.128931i
\(446\) −17.0730 + 23.4716i −0.808430 + 1.11141i
\(447\) −5.63851 18.3421i −0.266692 0.867549i
\(448\) 7.57170 31.0835i 0.357729 1.46856i
\(449\) 4.68780i 0.221231i −0.993863 0.110615i \(-0.964718\pi\)
0.993863 0.110615i \(-0.0352822\pi\)
\(450\) 4.24042 + 0.137404i 0.199895 + 0.00647728i
\(451\) −0.407714 + 2.04971i −0.0191985 + 0.0965173i
\(452\) 7.87251 15.4085i 0.370292 0.724755i
\(453\) 36.7890 + 11.0107i 1.72850 + 0.517328i
\(454\) 20.3395 + 22.0276i 0.954580 + 1.03381i
\(455\) −14.1583 + 5.86455i −0.663751 + 0.274935i
\(456\) −8.49178 21.5656i −0.397664 1.00990i
\(457\) 24.0720 + 9.97094i 1.12604 + 0.466421i 0.866433 0.499294i \(-0.166407\pi\)
0.259607 + 0.965714i \(0.416407\pi\)
\(458\) 22.3968 8.24853i 1.04653 0.385428i
\(459\) 6.14712 11.8154i 0.286923 0.551495i
\(460\) 0.645316 + 0.509884i 0.0300880 + 0.0237735i
\(461\) 29.9097 19.9850i 1.39303 0.930795i 0.393097 0.919497i \(-0.371404\pi\)
0.999936 0.0112977i \(-0.00359624\pi\)
\(462\) −1.61907 26.0522i −0.0753258 1.21206i
\(463\) 5.45569 + 5.45569i 0.253548 + 0.253548i 0.822423 0.568876i \(-0.192622\pi\)
−0.568876 + 0.822423i \(0.692622\pi\)
\(464\) 29.0443 13.3118i 1.34835 0.617984i
\(465\) 10.0719 + 5.33554i 0.467075 + 0.247430i
\(466\) −17.5977 + 10.7705i −0.815199 + 0.498935i
\(467\) 29.4196 19.6575i 1.36138 0.909643i 0.361634 0.932320i \(-0.382219\pi\)
0.999743 + 0.0226773i \(0.00721902\pi\)
\(468\) 10.3087 20.5522i 0.476518 0.950026i
\(469\) 2.48690 0.494676i 0.114835 0.0228420i
\(470\) −6.42089 2.96438i −0.296173 0.136737i
\(471\) −2.19523 + 23.1708i −0.101151 + 1.06766i
\(472\) −13.4675 + 10.5807i −0.619893 + 0.487018i
\(473\) 25.9514 10.7494i 1.19325 0.494258i
\(474\) 40.1912 10.6236i 1.84604 0.487959i
\(475\) 2.62842 3.93371i 0.120600 0.180491i
\(476\) 1.63108 20.4358i 0.0747606 0.936674i
\(477\) −39.0829 + 16.5300i −1.78948 + 0.756856i
\(478\) 17.4557 2.75481i 0.798405 0.126002i
\(479\) 9.63326i 0.440155i −0.975482 0.220077i \(-0.929369\pi\)
0.975482 0.220077i \(-0.0706310\pi\)
\(480\) −4.61052 + 8.64541i −0.210440 + 0.394607i
\(481\) 28.8008i 1.31320i
\(482\) 0.766016 + 4.85381i 0.0348911 + 0.221085i
\(483\) 2.83359 0.289718i 0.128933 0.0131826i
\(484\) −5.05831 5.93581i −0.229923 0.269809i
\(485\) −3.37009 + 5.04370i −0.153028 + 0.229023i
\(486\) −2.62642 + 21.8884i −0.119137 + 0.992878i
\(487\) 33.0636 13.6954i 1.49825 0.620597i 0.525158 0.851004i \(-0.324006\pi\)
0.973094 + 0.230408i \(0.0740061\pi\)
\(488\) 22.0959 + 12.4225i 1.00023 + 0.562340i
\(489\) 12.4144 + 1.17616i 0.561401 + 0.0531878i
\(490\) 5.33059 11.5461i 0.240812 0.521601i
\(491\) −11.3877 + 2.26515i −0.513919 + 0.102225i −0.445235 0.895414i \(-0.646880\pi\)
−0.0686837 + 0.997638i \(0.521880\pi\)
\(492\) −0.0604284 2.71615i −0.00272432 0.122454i
\(493\) 17.0230 11.3744i 0.766676 0.512277i
\(494\) −13.3845 21.8686i −0.602197 0.983917i
\(495\) −1.50127 + 7.85187i −0.0674769 + 0.352915i
\(496\) −21.3294 + 15.4247i −0.957716 + 0.692589i
\(497\) 21.3591 + 21.3591i 0.958087 + 0.958087i
\(498\) 0.186423 + 2.99972i 0.00835383 + 0.134420i
\(499\) 31.1292 20.7998i 1.39353 0.931129i 0.393603 0.919281i \(-0.371229\pi\)
0.999930 0.0118479i \(-0.00377138\pi\)
\(500\) −1.98640 + 0.232877i −0.0888343 + 0.0104146i
\(501\) 17.2865 + 32.0537i 0.772303 + 1.43205i
\(502\) −0.915605 2.48609i −0.0408654 0.110960i
\(503\) −36.8119 15.2480i −1.64136 0.679875i −0.644929 0.764243i \(-0.723113\pi\)
−0.996435 + 0.0843677i \(0.973113\pi\)
\(504\) 9.39916 + 32.6054i 0.418672 + 1.45236i
\(505\) −9.23946 + 3.82711i −0.411151 + 0.170304i
\(506\) −1.13854 + 1.05129i −0.0506143 + 0.0467355i
\(507\) 0.836840 2.79605i 0.0371654 0.124177i
\(508\) −19.8898 + 6.43826i −0.882467 + 0.285652i
\(509\) −4.31697 + 21.7029i −0.191346 + 0.961962i 0.759077 + 0.651001i \(0.225651\pi\)
−0.950423 + 0.310961i \(0.899349\pi\)
\(510\) −2.03827 + 5.93848i −0.0902562 + 0.262960i
\(511\) 29.9775i 1.32613i
\(512\) −13.2088 18.3720i −0.583750 0.811933i
\(513\) 19.1757 + 15.3826i 0.846628 + 0.679159i
\(514\) 23.4314 + 17.0437i 1.03352 + 0.751767i
\(515\) −10.8333 2.15488i −0.477372 0.0949552i
\(516\) −29.9035 + 20.9577i −1.31643 + 0.922611i
\(517\) 7.40328 11.0798i 0.325596 0.487288i
\(518\) −28.8351 31.2283i −1.26694 1.37209i
\(519\) 10.9121 + 13.1961i 0.478987 + 0.579245i
\(520\) −3.36649 + 10.3028i −0.147630 + 0.451807i
\(521\) 9.57846 23.1245i 0.419640 1.01310i −0.562812 0.826585i \(-0.690281\pi\)
0.982452 0.186516i \(-0.0597195\pi\)
\(522\) −19.7296 + 27.5521i −0.863543 + 1.20592i
\(523\) 9.35382 1.86059i 0.409014 0.0813580i 0.0137049 0.999906i \(-0.495637\pi\)
0.395309 + 0.918548i \(0.370637\pi\)
\(524\) −2.97089 25.3410i −0.129784 1.10703i
\(525\) −4.37425 + 5.37060i −0.190908 + 0.234392i
\(526\) −5.75019 + 23.8930i −0.250720 + 1.04179i
\(527\) −11.9270 + 11.9270i −0.519549 + 0.519549i
\(528\) −14.7365 11.1205i −0.641325 0.483956i
\(529\) 16.1439 + 16.1439i 0.701908 + 0.701908i
\(530\) 17.0620 10.4426i 0.741124 0.453598i
\(531\) 6.82680 16.8341i 0.296258 0.730537i
\(532\) 36.4073 + 10.3114i 1.57846 + 0.447057i
\(533\) −0.586333 2.94770i −0.0253969 0.127679i
\(534\) −4.57182 + 33.8415i −0.197842 + 1.46446i
\(535\) 11.9026 + 4.93020i 0.514593 + 0.213151i
\(536\) 0.878880 1.56326i 0.0379618 0.0675226i
\(537\) −0.386044 0.466848i −0.0166590 0.0201460i
\(538\) 0.475683 11.9386i 0.0205081 0.514709i
\(539\) 19.9238 + 13.3127i 0.858181 + 0.573418i
\(540\) −0.308348 10.3877i −0.0132692 0.447017i
\(541\) 8.61286 43.2998i 0.370296 1.86160i −0.123963 0.992287i \(-0.539560\pi\)
0.494259 0.869315i \(-0.335440\pi\)
\(542\) −22.2968 + 3.51883i −0.957732 + 0.151147i
\(543\) −1.64856 5.36277i −0.0707465 0.230138i
\(544\) −10.2244 10.2811i −0.438369 0.440800i
\(545\) 6.07064 0.260038
\(546\) 16.4886 + 33.7228i 0.705649 + 1.44320i
\(547\) 0.367230 + 0.0730466i 0.0157016 + 0.00312325i 0.202935 0.979192i \(-0.434952\pi\)
−0.187233 + 0.982315i \(0.559952\pi\)
\(548\) −24.8726 1.98521i −1.06251 0.0848040i
\(549\) −26.8854 + 0.199789i −1.14744 + 0.00852680i
\(550\) 0.150032 3.76547i 0.00639738 0.160560i
\(551\) 14.4611 + 34.9122i 0.616064 + 1.48731i
\(552\) 1.14851 1.65512i 0.0488836 0.0704466i
\(553\) −25.9728 + 62.7038i −1.10447 + 2.66644i
\(554\) −9.15635 + 19.8328i −0.389016 + 0.842615i
\(555\) 6.17901 + 11.4575i 0.262284 + 0.486344i
\(556\) 11.6319 + 20.8242i 0.493300 + 0.883142i
\(557\) 5.58006 + 8.35115i 0.236435 + 0.353849i 0.930645 0.365922i \(-0.119246\pi\)
−0.694211 + 0.719772i \(0.744246\pi\)
\(558\) 11.5139 25.4342i 0.487422 1.07672i
\(559\) −28.5640 + 28.5640i −1.20813 + 1.20813i
\(560\) −6.66482 14.5416i −0.281640 0.614497i
\(561\) −10.4540 5.53792i −0.441367 0.233811i
\(562\) −0.0457195 + 0.189972i −0.00192856 + 0.00801350i
\(563\) 0.159428 + 0.238600i 0.00671907 + 0.0100558i 0.834814 0.550532i \(-0.185575\pi\)
−0.828095 + 0.560588i \(0.810575\pi\)
\(564\) −6.27167 + 16.1480i −0.264085 + 0.679954i
\(565\) −1.68784 8.48533i −0.0710079 0.356981i
\(566\) −5.00791 13.5977i −0.210498 0.571554i
\(567\) −25.8253 25.0688i −1.08456 1.05279i
\(568\) 21.3010 1.64086i 0.893772 0.0688492i
\(569\) 10.0631 + 24.2944i 0.421865 + 1.01847i 0.981797 + 0.189934i \(0.0608273\pi\)
−0.559932 + 0.828539i \(0.689173\pi\)
\(570\) −10.0164 5.82823i −0.419540 0.244118i
\(571\) −25.0098 16.7110i −1.04663 0.699333i −0.0915823 0.995798i \(-0.529192\pi\)
−0.955044 + 0.296464i \(0.904192\pi\)
\(572\) −18.1866 9.29190i −0.760421 0.388514i
\(573\) 25.9551 2.65376i 1.08429 0.110862i
\(574\) 3.58696 + 2.60911i 0.149717 + 0.108902i
\(575\) 0.411222 0.0171491
\(576\) 21.8366 + 9.95813i 0.909857 + 0.414922i
\(577\) 10.4729 0.435992 0.217996 0.975950i \(-0.430048\pi\)
0.217996 + 0.975950i \(0.430048\pi\)
\(578\) 11.9284 + 8.67656i 0.496155 + 0.360897i
\(579\) −21.5074 + 2.19901i −0.893818 + 0.0913879i
\(580\) 7.26815 14.2256i 0.301794 0.590687i
\(581\) −4.07986 2.72608i −0.169261 0.113097i
\(582\) 12.8427 + 7.47279i 0.532349 + 0.309757i
\(583\) 14.4241 + 34.8229i 0.597386 + 1.44222i
\(584\) 16.0995 + 13.7965i 0.666200 + 0.570904i
\(585\) −2.32655 11.2584i −0.0961909 0.465480i
\(586\) 3.89879 + 10.5862i 0.161057 + 0.437310i
\(587\) −6.32636 31.8048i −0.261117 1.31272i −0.859345 0.511397i \(-0.829128\pi\)
0.598228 0.801326i \(-0.295872\pi\)
\(588\) −29.0376 11.2778i −1.19749 0.465089i
\(589\) −17.2965 25.8861i −0.712691 1.06662i
\(590\) −2.00369 + 8.32567i −0.0824905 + 0.342762i
\(591\) −0.315946 0.167371i −0.0129963 0.00688470i
\(592\) −30.0419 + 1.11378i −1.23472 + 0.0457762i
\(593\) −2.12596 + 2.12596i −0.0873026 + 0.0873026i −0.749409 0.662107i \(-0.769662\pi\)
0.662107 + 0.749409i \(0.269662\pi\)
\(594\) 19.4241 + 2.47728i 0.796982 + 0.101644i
\(595\) −5.69482 8.52290i −0.233465 0.349405i
\(596\) 19.3445 10.8053i 0.792381 0.442604i
\(597\) −5.01181 9.29321i −0.205120 0.380346i
\(598\) 0.934138 2.02336i 0.0381997 0.0827412i
\(599\) 10.6654 25.7485i 0.435775 1.05205i −0.541618 0.840625i \(-0.682188\pi\)
0.977393 0.211430i \(-0.0678120\pi\)
\(600\) 0.871136 + 4.82090i 0.0355640 + 0.196813i
\(601\) −6.84468 16.5245i −0.279200 0.674049i 0.720614 0.693337i \(-0.243860\pi\)
−0.999814 + 0.0192877i \(0.993860\pi\)
\(602\) 2.37350 59.5696i 0.0967366 2.42788i
\(603\) 0.0141349 + 1.90212i 0.000575618 + 0.0774601i
\(604\) −3.52794 + 44.2015i −0.143550 + 1.79853i
\(605\) −3.82444 0.760729i −0.155486 0.0309280i
\(606\) 10.7602 + 22.0069i 0.437104 + 0.893970i
\(607\) −13.3084 −0.540170 −0.270085 0.962837i \(-0.587052\pi\)
−0.270085 + 0.962837i \(0.587052\pi\)
\(608\) 22.2935 14.8070i 0.904120 0.600503i
\(609\) −16.2567 52.8830i −0.658754 2.14293i
\(610\) 12.5193 1.97576i 0.506892 0.0799964i
\(611\) −3.73861 + 18.7953i −0.151248 + 0.760375i
\(612\) 14.8279 + 4.08085i 0.599383 + 0.164958i
\(613\) −37.8947 25.3204i −1.53055 1.02268i −0.982505 0.186235i \(-0.940372\pi\)
−0.548047 0.836448i \(-0.684628\pi\)
\(614\) −0.750191 + 18.8281i −0.0302752 + 0.759842i
\(615\) −0.865663 1.04686i −0.0349069 0.0422134i
\(616\) 29.0225 8.13321i 1.16935 0.327696i
\(617\) −27.4418 11.3668i −1.10476 0.457608i −0.245632 0.969363i \(-0.578996\pi\)
−0.859132 + 0.511755i \(0.828996\pi\)
\(618\) −3.62222 + 26.8124i −0.145707 + 1.07855i
\(619\) 2.62525 + 13.1980i 0.105518 + 0.530474i 0.996999 + 0.0774158i \(0.0246669\pi\)
−0.891481 + 0.453058i \(0.850333\pi\)
\(620\) −3.58648 + 12.6631i −0.144036 + 0.508560i
\(621\) −0.185725 + 2.12869i −0.00745288 + 0.0854212i
\(622\) 8.00229 4.89772i 0.320862 0.196381i
\(623\) −39.4224 39.4224i −1.57943 1.57943i
\(624\) 25.6994 + 6.66494i 1.02880 + 0.266811i
\(625\) −0.707107 + 0.707107i −0.0282843 + 0.0282843i
\(626\) −1.92086 + 7.98150i −0.0767730 + 0.319005i
\(627\) 13.7896 16.9305i 0.550702 0.676139i
\(628\) −26.6924 + 3.12931i −1.06514 + 0.124873i
\(629\) −18.8940 + 3.75825i −0.753353 + 0.149851i
\(630\) 13.7945 + 9.87805i 0.549586 + 0.393551i
\(631\) −5.79808 + 13.9978i −0.230818 + 0.557243i −0.996274 0.0862446i \(-0.972513\pi\)
0.765456 + 0.643488i \(0.222513\pi\)
\(632\) 21.7218 + 42.8069i 0.864046 + 1.70277i
\(633\) 22.5196 + 27.2332i 0.895073 + 1.08242i
\(634\) 12.5036 + 13.5414i 0.496583 + 0.537797i
\(635\) −5.80734 + 8.69129i −0.230457 + 0.344903i
\(636\) −28.1221 40.1260i −1.11511 1.59110i
\(637\) −33.7979 6.72283i −1.33912 0.266368i
\(638\) 24.3418 + 17.7059i 0.963700 + 0.700984i
\(639\) −18.7471 + 12.7289i −0.741624 + 0.503549i
\(640\) −10.8770 3.11314i −0.429950 0.123058i
\(641\) 22.1086i 0.873236i 0.899647 + 0.436618i \(0.143824\pi\)
−0.899647 + 0.436618i \(0.856176\pi\)
\(642\) 10.2448 29.8481i 0.404330 1.17801i
\(643\) 8.26126 41.5321i 0.325792 1.63787i −0.376814 0.926289i \(-0.622980\pi\)
0.702606 0.711579i \(-0.252020\pi\)
\(644\) 1.01290 + 3.12915i 0.0399137 + 0.123306i
\(645\) −5.23511 + 17.4915i −0.206132 + 0.688729i
\(646\) 12.5998 11.6342i 0.495732 0.457742i
\(647\) 22.5213 9.32864i 0.885405 0.366747i 0.106814 0.994279i \(-0.465935\pi\)
0.778591 + 0.627532i \(0.215935\pi\)
\(648\) −25.3488 + 2.33210i −0.995795 + 0.0916137i
\(649\) −14.9071 6.17474i −0.585156 0.242380i
\(650\) 1.87294 + 5.08549i 0.0734628 + 0.199469i
\(651\) 21.6358 + 40.1186i 0.847976 + 1.57237i
\(652\) 1.67662 + 14.3012i 0.0656614 + 0.560079i
\(653\) −6.88068 + 4.59752i −0.269262 + 0.179915i −0.682870 0.730540i \(-0.739268\pi\)
0.413608 + 0.910455i \(0.364268\pi\)
\(654\) −0.922345 14.8413i −0.0360666 0.580342i
\(655\) −9.02077 9.02077i −0.352471 0.352471i
\(656\) 3.05205 0.725595i 0.119163 0.0283297i
\(657\) −22.0883 4.22325i −0.861746 0.164765i
\(658\) −14.7639 24.1225i −0.575558 0.940392i
\(659\) −2.96129 + 1.97867i −0.115356 + 0.0770782i −0.611910 0.790928i \(-0.709598\pi\)
0.496554 + 0.868006i \(0.334598\pi\)
\(660\) −9.22851 + 0.205314i −0.359219 + 0.00799184i
\(661\) −10.9271 + 2.17354i −0.425016 + 0.0845409i −0.402964 0.915216i \(-0.632020\pi\)
−0.0220520 + 0.999757i \(0.507020\pi\)
\(662\) −3.16379 + 6.85281i −0.122964 + 0.266342i
\(663\) 16.9372 + 1.60465i 0.657786 + 0.0623194i
\(664\) −3.34172 + 0.936478i −0.129684 + 0.0363424i
\(665\) 17.4795 7.24025i 0.677826 0.280765i
\(666\) 27.0722 16.8471i 1.04903 0.652811i
\(667\) −1.82482 + 2.73104i −0.0706575 + 0.105746i
\(668\) −32.0066 + 27.2750i −1.23837 + 1.05530i
\(669\) 35.3629 3.61566i 1.36721 0.139789i
\(670\) −0.139783 0.885728i −0.00540030 0.0342187i
\(671\) 23.8812i 0.921923i
\(672\) −34.5384 + 18.5034i −1.33235 + 0.713783i
\(673\) 34.5110i 1.33030i 0.746709 + 0.665151i \(0.231633\pi\)
−0.746709 + 0.665151i \(0.768367\pi\)
\(674\) 5.55920 0.877339i 0.214132 0.0337938i
\(675\) −3.34097 3.97969i −0.128594 0.153178i
\(676\) 3.35942 + 0.268132i 0.129208 + 0.0103128i
\(677\) 5.38227 8.05514i 0.206857 0.309584i −0.713505 0.700650i \(-0.752894\pi\)
0.920363 + 0.391066i \(0.127894\pi\)
\(678\) −20.4883 + 5.41560i −0.786847 + 0.207985i
\(679\) −22.4117 + 9.28325i −0.860084 + 0.356258i
\(680\) −7.19816 0.864074i −0.276037 0.0331357i
\(681\) 3.46339 36.5564i 0.132718 1.40084i
\(682\) −22.5149 10.3946i −0.862141 0.398031i
\(683\) 29.1352 5.79535i 1.11483 0.221753i 0.396893 0.917865i \(-0.370088\pi\)
0.717933 + 0.696112i \(0.245088\pi\)
\(684\) −12.7268 + 25.3733i −0.486623 + 0.970172i
\(685\) −10.3733 + 6.93122i −0.396344 + 0.264828i
\(686\) 9.61113 5.88240i 0.366955 0.224591i
\(687\) −25.8309 13.6837i −0.985510 0.522067i
\(688\) −30.8996 28.6904i −1.17804 1.09381i
\(689\) −38.3287 38.3287i −1.46021 1.46021i
\(690\) −0.0624792 1.00534i −0.00237854 0.0382728i
\(691\) −9.22698 + 6.16527i −0.351011 + 0.234538i −0.718558 0.695467i \(-0.755198\pi\)
0.367547 + 0.930005i \(0.380198\pi\)
\(692\) −12.2581 + 15.5140i −0.465984 + 0.589755i
\(693\) −22.4368 + 22.7728i −0.852304 + 0.865066i
\(694\) −14.1459 + 5.20981i −0.536971 + 0.197762i
\(695\) 11.0185 + 4.56400i 0.417954 + 0.173122i
\(696\) −35.8827 15.6076i −1.36013 0.591605i
\(697\) 1.85725 0.769297i 0.0703483 0.0291392i
\(698\) −1.37944 1.49393i −0.0522127 0.0565461i
\(699\) 24.2081 + 7.24533i 0.915634 + 0.274044i
\(700\) −7.12235 3.63895i −0.269200 0.137539i
\(701\) 9.57241 48.1238i 0.361545 1.81761i −0.188027 0.982164i \(-0.560209\pi\)
0.549572 0.835446i \(-0.314791\pi\)
\(702\) −27.1709 + 7.39844i −1.02550 + 0.279236i
\(703\) 35.5568i 1.34105i
\(704\) 8.98903 19.3297i 0.338787 0.728516i
\(705\) 2.54510 + 8.27922i 0.0958541 + 0.311813i
\(706\) 19.3855 26.6508i 0.729583 1.00302i
\(707\) −39.2250 7.80234i −1.47521 0.293437i
\(708\) 20.6588 + 3.63360i 0.776405 + 0.136559i
\(709\) −27.7652 + 41.5536i −1.04275 + 1.56058i −0.234162 + 0.972198i \(0.575235\pi\)
−0.808583 + 0.588382i \(0.799765\pi\)
\(710\) 7.84810 7.24666i 0.294534 0.271962i
\(711\) −42.5430 27.9713i −1.59549 1.04900i
\(712\) −39.3153 + 3.02854i −1.47340 + 0.113499i
\(713\) 1.03557 2.50009i 0.0387824 0.0936290i
\(714\) −19.9713 + 15.2175i −0.747407 + 0.569499i
\(715\) −10.0152 + 1.99215i −0.374548 + 0.0745022i
\(716\) 0.433665 0.548852i 0.0162068 0.0205115i
\(717\) −16.7815 13.6682i −0.626715 0.510447i
\(718\) 15.3263 + 3.68848i 0.571971 + 0.137653i
\(719\) −2.67110 + 2.67110i −0.0996151 + 0.0996151i −0.755158 0.655543i \(-0.772440\pi\)
0.655543 + 0.755158i \(0.272440\pi\)
\(720\) 11.6537 2.86220i 0.434306 0.106668i
\(721\) −31.2341 31.2341i −1.16322 1.16322i
\(722\) 2.49730 + 4.08028i 0.0929398 + 0.151852i
\(723\) 3.80063 4.66632i 0.141347 0.173542i
\(724\) 5.65585 3.15922i 0.210198 0.117411i
\(725\) −1.55827 7.83393i −0.0578725 0.290945i
\(726\) −1.27874 + 9.46548i −0.0474586 + 0.351297i
\(727\) 1.02001 + 0.422503i 0.0378301 + 0.0156698i 0.401518 0.915851i \(-0.368483\pi\)
−0.363688 + 0.931521i \(0.618483\pi\)
\(728\) −34.0841 + 26.7782i −1.26324 + 0.992465i
\(729\) 22.1097 15.4971i 0.818879 0.573967i
\(730\) 10.5927 + 0.422058i 0.392055 + 0.0156211i
\(731\) −22.4660 15.0113i −0.830936 0.555214i
\(732\) −6.73242 30.3067i −0.248837 1.12017i
\(733\) 0.166341 0.836254i 0.00614395 0.0308877i −0.977592 0.210510i \(-0.932488\pi\)
0.983736 + 0.179622i \(0.0574875\pi\)
\(734\) 4.83817 + 30.6567i 0.178580 + 1.13156i
\(735\) −14.8878 + 4.57665i −0.549145 + 0.168812i
\(736\) 2.14668 + 0.896148i 0.0791277 + 0.0330324i
\(737\) 1.68957 0.0622361
\(738\) −2.42781 + 2.27541i −0.0893687 + 0.0837588i
\(739\) −15.6953 3.12198i −0.577360 0.114844i −0.102232 0.994761i \(-0.532598\pi\)
−0.475128 + 0.879917i \(0.657598\pi\)
\(740\) −11.4407 + 9.74939i −0.420568 + 0.358395i
\(741\) −9.00375 + 30.0833i −0.330761 + 1.10514i
\(742\) 79.9336 + 3.18488i 2.93445 + 0.116921i
\(743\) 6.50126 + 15.6954i 0.238508 + 0.575809i 0.997129 0.0757229i \(-0.0241265\pi\)
−0.758621 + 0.651532i \(0.774126\pi\)
\(744\) 31.5032 + 6.84416i 1.15496 + 0.250919i
\(745\) 4.23970 10.2355i 0.155330 0.375001i
\(746\) 7.90095 + 3.64769i 0.289275 + 0.133551i
\(747\) 2.58343 2.62211i 0.0945227 0.0959381i
\(748\) 3.72251 13.1434i 0.136109 0.480569i
\(749\) 28.6234 + 42.8380i 1.04588 + 1.56527i
\(750\) 1.83615 + 1.62128i 0.0670467 + 0.0592008i
\(751\) −3.34000 + 3.34000i −0.121878 + 0.121878i −0.765415 0.643537i \(-0.777466\pi\)
0.643537 + 0.765415i \(0.277466\pi\)
\(752\) −19.7498 3.17288i −0.720202 0.115703i
\(753\) −1.51893 + 2.86729i −0.0553527 + 0.104490i
\(754\) −42.0855 10.1285i −1.53266 0.368856i
\(755\) 12.3176 + 18.4345i 0.448282 + 0.670901i
\(756\) 22.0537 35.2253i 0.802086 1.28113i
\(757\) −5.01258 25.1999i −0.182185 0.915907i −0.958398 0.285436i \(-0.907862\pi\)
0.776212 0.630471i \(-0.217138\pi\)
\(758\) 10.1992 3.75627i 0.370452 0.136434i
\(759\) 1.88949 + 0.179013i 0.0685842 + 0.00649775i
\(760\) 4.15619 12.7196i 0.150761 0.461388i
\(761\) 11.2443 + 27.1462i 0.407606 + 0.984049i 0.985766 + 0.168125i \(0.0537712\pi\)
−0.578159 + 0.815924i \(0.696229\pi\)
\(762\) 22.1306 + 12.8771i 0.801706 + 0.466488i
\(763\) 20.1855 + 13.4875i 0.730763 + 0.488280i
\(764\) 9.27792 + 28.6624i 0.335663 + 1.03697i
\(765\) 7.08221 2.99540i 0.256058 0.108299i
\(766\) −12.5143 + 17.2045i −0.452162 + 0.621624i
\(767\) 23.2043 0.837858
\(768\) −5.95832 + 27.0647i −0.215002 + 0.976614i
\(769\) −5.26826 −0.189978 −0.0949892 0.995478i \(-0.530282\pi\)
−0.0949892 + 0.995478i \(0.530282\pi\)
\(770\) 8.86483 12.1872i 0.319466 0.439196i
\(771\) −3.60946 35.3023i −0.129992 1.27138i
\(772\) −7.68806 23.7508i −0.276699 0.854810i
\(773\) 11.2106 + 7.49066i 0.403216 + 0.269420i 0.740599 0.671947i \(-0.234542\pi\)
−0.337383 +