Properties

Label 770.2.n.f.631.1
Level $770$
Weight $2$
Character 770.631
Analytic conductor $6.148$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.484000000.9
Defining polynomial: \(x^{8} + x^{6} + 16 x^{4} + 66 x^{2} + 121\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 631.1
Root \(-0.476925 - 1.46782i\) of defining polynomial
Character \(\chi\) \(=\) 770.631
Dual form 770.2.n.f.421.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.785942 + 2.41888i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(-2.05762 + 1.49495i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.80623 - 2.03884i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(-0.785942 + 2.41888i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.809017 + 0.587785i) q^{5} +(-2.05762 + 1.49495i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-2.80623 - 2.03884i) q^{9} -1.00000 q^{10} +(-2.31504 - 2.37499i) q^{11} -2.54336 q^{12} +(-5.19594 - 3.77507i) q^{13} +(0.309017 - 0.951057i) q^{14} +(-0.785942 - 2.41888i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-3.19873 + 2.32401i) q^{17} +(-1.07188 - 3.29892i) q^{18} +(-0.762867 + 2.34786i) q^{19} +(-0.809017 - 0.587785i) q^{20} +2.54336 q^{21} +(-0.476925 - 3.28216i) q^{22} +4.99442 q^{23} +(-2.05762 - 1.49495i) q^{24} +(0.309017 - 0.951057i) q^{25} +(-1.98467 - 6.10820i) q^{26} +(0.964387 - 0.700668i) q^{27} +(0.809017 - 0.587785i) q^{28} +(2.79476 + 8.60137i) q^{29} +(0.785942 - 2.41888i) q^{30} +(-6.38242 - 4.63710i) q^{31} -1.00000 q^{32} +(7.56431 - 3.73321i) q^{33} -3.95385 q^{34} +(0.809017 + 0.587785i) q^{35} +(1.07188 - 3.29892i) q^{36} +(3.41279 + 10.5035i) q^{37} +(-1.99721 + 1.45106i) q^{38} +(13.2152 - 9.60138i) q^{39} +(-0.309017 - 0.951057i) q^{40} +(2.14886 - 6.61350i) q^{41} +(2.05762 + 1.49495i) q^{42} -3.02295 q^{43} +(1.54336 - 2.93565i) q^{44} +3.46869 q^{45} +(4.04057 + 2.93565i) q^{46} +(-2.58951 + 7.96970i) q^{47} +(-0.785942 - 2.41888i) q^{48} +(-0.809017 + 0.587785i) q^{49} +(0.809017 - 0.587785i) q^{50} +(-3.10750 - 9.56389i) q^{51} +(1.98467 - 6.10820i) q^{52} +(-8.14004 - 5.91409i) q^{53} +1.19205 q^{54} +(3.26889 + 0.560659i) q^{55} +1.00000 q^{56} +(-5.07963 - 3.69057i) q^{57} +(-2.79476 + 8.60137i) q^{58} +(-1.26566 - 3.89529i) q^{59} +(2.05762 - 1.49495i) q^{60} +(-2.91000 + 2.11424i) q^{61} +(-2.43787 - 7.50298i) q^{62} +(-1.07188 + 3.29892i) q^{63} +(-0.809017 - 0.587785i) q^{64} +6.42254 q^{65} +(8.31398 + 1.42596i) q^{66} -1.28222 q^{67} +(-3.19873 - 2.32401i) q^{68} +(-3.92533 + 12.0809i) q^{69} +(0.309017 + 0.951057i) q^{70} +(4.77340 - 3.46808i) q^{71} +(2.80623 - 2.03884i) q^{72} +(3.16808 + 9.75035i) q^{73} +(-3.41279 + 10.5035i) q^{74} +(2.05762 + 1.49495i) q^{75} -2.46869 q^{76} +(-1.54336 + 2.93565i) q^{77} +16.3348 q^{78} +(-5.02480 - 3.65073i) q^{79} +(0.309017 - 0.951057i) q^{80} +(-2.27877 - 7.01334i) q^{81} +(5.62578 - 4.08737i) q^{82} +(-10.7909 + 7.84005i) q^{83} +(0.785942 + 2.41888i) q^{84} +(1.22181 - 3.76033i) q^{85} +(-2.44561 - 1.77684i) q^{86} -23.0022 q^{87} +(2.97414 - 1.46782i) q^{88} +14.7432 q^{89} +(2.80623 + 2.03884i) q^{90} +(-1.98467 + 6.10820i) q^{91} +(1.54336 + 4.74998i) q^{92} +(16.2328 - 11.7938i) q^{93} +(-6.77943 + 4.92554i) q^{94} +(-0.762867 - 2.34786i) q^{95} +(0.785942 - 2.41888i) q^{96} +(9.67611 + 7.03010i) q^{97} -1.00000 q^{98} +(1.65431 + 11.3848i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 2q^{9} + O(q^{10}) \) \( 8q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 2q^{9} - 8q^{10} - 8q^{12} - 2q^{13} - 2q^{14} + 2q^{15} - 2q^{16} - 6q^{17} + 8q^{18} + 6q^{19} - 2q^{20} + 8q^{21} - 2q^{24} - 2q^{25} + 12q^{26} - 4q^{27} + 2q^{28} + 20q^{29} - 2q^{30} - 6q^{31} - 8q^{32} - 8q^{33} - 24q^{34} + 2q^{35} - 8q^{36} + 16q^{37} + 4q^{38} + 20q^{39} + 2q^{40} - 12q^{41} + 2q^{42} + 20q^{43} + 12q^{45} - 16q^{47} + 2q^{48} - 2q^{49} + 2q^{50} - 20q^{51} - 12q^{52} - 30q^{53} + 44q^{54} + 8q^{56} - 20q^{58} - 18q^{59} + 2q^{60} + 8q^{61} - 24q^{62} + 8q^{63} - 2q^{64} + 28q^{65} + 18q^{66} - 6q^{68} - 28q^{69} - 2q^{70} + 22q^{71} - 2q^{72} - 50q^{73} - 16q^{74} + 2q^{75} - 4q^{76} + 60q^{78} - 34q^{79} - 2q^{80} - 28q^{81} + 12q^{82} - 34q^{83} - 2q^{84} - 6q^{85} + 4q^{87} - 8q^{89} - 2q^{90} + 12q^{91} + 56q^{93} - 24q^{94} + 6q^{95} - 2q^{96} - 8q^{98} - 24q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) −0.785942 + 2.41888i −0.453764 + 1.39654i 0.418816 + 0.908071i \(0.362445\pi\)
−0.872580 + 0.488471i \(0.837555\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) −0.809017 + 0.587785i −0.361803 + 0.262866i
\(6\) −2.05762 + 1.49495i −0.840021 + 0.610311i
\(7\) −0.309017 0.951057i −0.116797 0.359466i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −2.80623 2.03884i −0.935410 0.679615i
\(10\) −1.00000 −0.316228
\(11\) −2.31504 2.37499i −0.698012 0.716086i
\(12\) −2.54336 −0.734205
\(13\) −5.19594 3.77507i −1.44110 1.04702i −0.987812 0.155651i \(-0.950253\pi\)
−0.453283 0.891366i \(-0.649747\pi\)
\(14\) 0.309017 0.951057i 0.0825883 0.254181i
\(15\) −0.785942 2.41888i −0.202929 0.624552i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −3.19873 + 2.32401i −0.775806 + 0.563656i −0.903718 0.428129i \(-0.859173\pi\)
0.127911 + 0.991786i \(0.459173\pi\)
\(18\) −1.07188 3.29892i −0.252646 0.777563i
\(19\) −0.762867 + 2.34786i −0.175014 + 0.538637i −0.999634 0.0270497i \(-0.991389\pi\)
0.824620 + 0.565687i \(0.191389\pi\)
\(20\) −0.809017 0.587785i −0.180902 0.131433i
\(21\) 2.54336 0.555007
\(22\) −0.476925 3.28216i −0.101681 0.699758i
\(23\) 4.99442 1.04141 0.520705 0.853737i \(-0.325669\pi\)
0.520705 + 0.853737i \(0.325669\pi\)
\(24\) −2.05762 1.49495i −0.420011 0.305156i
\(25\) 0.309017 0.951057i 0.0618034 0.190211i
\(26\) −1.98467 6.10820i −0.389227 1.19792i
\(27\) 0.964387 0.700668i 0.185596 0.134844i
\(28\) 0.809017 0.587785i 0.152890 0.111081i
\(29\) 2.79476 + 8.60137i 0.518973 + 1.59724i 0.775935 + 0.630813i \(0.217279\pi\)
−0.256961 + 0.966422i \(0.582721\pi\)
\(30\) 0.785942 2.41888i 0.143493 0.441625i
\(31\) −6.38242 4.63710i −1.14632 0.832847i −0.158329 0.987386i \(-0.550611\pi\)
−0.987987 + 0.154539i \(0.950611\pi\)
\(32\) −1.00000 −0.176777
\(33\) 7.56431 3.73321i 1.31678 0.649868i
\(34\) −3.95385 −0.678080
\(35\) 0.809017 + 0.587785i 0.136749 + 0.0993538i
\(36\) 1.07188 3.29892i 0.178647 0.549820i
\(37\) 3.41279 + 10.5035i 0.561059 + 1.72676i 0.679379 + 0.733787i \(0.262249\pi\)
−0.118320 + 0.992975i \(0.537751\pi\)
\(38\) −1.99721 + 1.45106i −0.323991 + 0.235393i
\(39\) 13.2152 9.60138i 2.11612 1.53745i
\(40\) −0.309017 0.951057i −0.0488599 0.150375i
\(41\) 2.14886 6.61350i 0.335595 1.03286i −0.630833 0.775919i \(-0.717287\pi\)
0.966428 0.256937i \(-0.0827133\pi\)
\(42\) 2.05762 + 1.49495i 0.317498 + 0.230676i
\(43\) −3.02295 −0.460995 −0.230497 0.973073i \(-0.574035\pi\)
−0.230497 + 0.973073i \(0.574035\pi\)
\(44\) 1.54336 2.93565i 0.232671 0.442566i
\(45\) 3.46869 0.517082
\(46\) 4.04057 + 2.93565i 0.595750 + 0.432838i
\(47\) −2.58951 + 7.96970i −0.377719 + 1.16250i 0.563907 + 0.825839i \(0.309298\pi\)
−0.941626 + 0.336661i \(0.890702\pi\)
\(48\) −0.785942 2.41888i −0.113441 0.349135i
\(49\) −0.809017 + 0.587785i −0.115574 + 0.0839693i
\(50\) 0.809017 0.587785i 0.114412 0.0831254i
\(51\) −3.10750 9.56389i −0.435137 1.33921i
\(52\) 1.98467 6.10820i 0.275225 0.847055i
\(53\) −8.14004 5.91409i −1.11812 0.812362i −0.134198 0.990955i \(-0.542846\pi\)
−0.983923 + 0.178592i \(0.942846\pi\)
\(54\) 1.19205 0.162217
\(55\) 3.26889 + 0.560659i 0.440777 + 0.0755992i
\(56\) 1.00000 0.133631
\(57\) −5.07963 3.69057i −0.672814 0.488828i
\(58\) −2.79476 + 8.60137i −0.366969 + 1.12942i
\(59\) −1.26566 3.89529i −0.164774 0.507123i 0.834245 0.551393i \(-0.185904\pi\)
−0.999020 + 0.0442704i \(0.985904\pi\)
\(60\) 2.05762 1.49495i 0.265638 0.192997i
\(61\) −2.91000 + 2.11424i −0.372588 + 0.270701i −0.758283 0.651925i \(-0.773962\pi\)
0.385696 + 0.922626i \(0.373962\pi\)
\(62\) −2.43787 7.50298i −0.309609 0.952879i
\(63\) −1.07188 + 3.29892i −0.135045 + 0.415625i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) 6.42254 0.796618
\(66\) 8.31398 + 1.42596i 1.02338 + 0.175523i
\(67\) −1.28222 −0.156648 −0.0783239 0.996928i \(-0.524957\pi\)
−0.0783239 + 0.996928i \(0.524957\pi\)
\(68\) −3.19873 2.32401i −0.387903 0.281828i
\(69\) −3.92533 + 12.0809i −0.472554 + 1.45437i
\(70\) 0.309017 + 0.951057i 0.0369346 + 0.113673i
\(71\) 4.77340 3.46808i 0.566499 0.411585i −0.267333 0.963604i \(-0.586142\pi\)
0.833832 + 0.552019i \(0.186142\pi\)
\(72\) 2.80623 2.03884i 0.330717 0.240280i
\(73\) 3.16808 + 9.75035i 0.370796 + 1.14119i 0.946272 + 0.323373i \(0.104817\pi\)
−0.575476 + 0.817819i \(0.695183\pi\)
\(74\) −3.41279 + 10.5035i −0.396729 + 1.22101i
\(75\) 2.05762 + 1.49495i 0.237594 + 0.172622i
\(76\) −2.46869 −0.283178
\(77\) −1.54336 + 2.93565i −0.175882 + 0.334548i
\(78\) 16.3348 1.84956
\(79\) −5.02480 3.65073i −0.565334 0.410739i 0.268073 0.963399i \(-0.413613\pi\)
−0.833407 + 0.552659i \(0.813613\pi\)
\(80\) 0.309017 0.951057i 0.0345492 0.106331i
\(81\) −2.27877 7.01334i −0.253197 0.779260i
\(82\) 5.62578 4.08737i 0.621264 0.451375i
\(83\) −10.7909 + 7.84005i −1.18446 + 0.860557i −0.992667 0.120879i \(-0.961429\pi\)
−0.191788 + 0.981436i \(0.561429\pi\)
\(84\) 0.785942 + 2.41888i 0.0857533 + 0.263922i
\(85\) 1.22181 3.76033i 0.132524 0.407866i
\(86\) −2.44561 1.77684i −0.263717 0.191602i
\(87\) −23.0022 −2.46610
\(88\) 2.97414 1.46782i 0.317044 0.156471i
\(89\) 14.7432 1.56278 0.781388 0.624045i \(-0.214512\pi\)
0.781388 + 0.624045i \(0.214512\pi\)
\(90\) 2.80623 + 2.03884i 0.295803 + 0.214913i
\(91\) −1.98467 + 6.10820i −0.208050 + 0.640313i
\(92\) 1.54336 + 4.74998i 0.160907 + 0.495220i
\(93\) 16.2328 11.7938i 1.68326 1.22296i
\(94\) −6.77943 + 4.92554i −0.699245 + 0.508031i
\(95\) −0.762867 2.34786i −0.0782685 0.240886i
\(96\) 0.785942 2.41888i 0.0802149 0.246876i
\(97\) 9.67611 + 7.03010i 0.982460 + 0.713799i 0.958257 0.285908i \(-0.0922953\pi\)
0.0242028 + 0.999707i \(0.492295\pi\)
\(98\) −1.00000 −0.101015
\(99\) 1.65431 + 11.3848i 0.166264 + 1.14421i
\(100\) 1.00000 0.100000
\(101\) 1.82930 + 1.32907i 0.182023 + 0.132247i 0.675065 0.737758i \(-0.264115\pi\)
−0.493043 + 0.870005i \(0.664115\pi\)
\(102\) 3.10750 9.56389i 0.307688 0.946966i
\(103\) 4.15192 + 12.7783i 0.409101 + 1.25908i 0.917422 + 0.397916i \(0.130267\pi\)
−0.508321 + 0.861168i \(0.669733\pi\)
\(104\) 5.19594 3.77507i 0.509504 0.370176i
\(105\) −2.05762 + 1.49495i −0.200803 + 0.145892i
\(106\) −3.10922 9.56920i −0.301994 0.929442i
\(107\) 4.13708 12.7326i 0.399947 1.23091i −0.525094 0.851044i \(-0.675970\pi\)
0.925041 0.379866i \(-0.124030\pi\)
\(108\) 0.964387 + 0.700668i 0.0927982 + 0.0674218i
\(109\) −8.67624 −0.831033 −0.415516 0.909586i \(-0.636399\pi\)
−0.415516 + 0.909586i \(0.636399\pi\)
\(110\) 2.31504 + 2.37499i 0.220731 + 0.226446i
\(111\) −28.0889 −2.66608
\(112\) 0.809017 + 0.587785i 0.0764449 + 0.0555405i
\(113\) −2.83267 + 8.71806i −0.266475 + 0.820126i 0.724875 + 0.688881i \(0.241898\pi\)
−0.991350 + 0.131246i \(0.958102\pi\)
\(114\) −1.94025 5.97147i −0.181721 0.559279i
\(115\) −4.04057 + 2.93565i −0.376785 + 0.273751i
\(116\) −7.31677 + 5.31594i −0.679345 + 0.493573i
\(117\) 6.88422 + 21.1874i 0.636446 + 1.95878i
\(118\) 1.26566 3.89529i 0.116513 0.358590i
\(119\) 3.19873 + 2.32401i 0.293227 + 0.213042i
\(120\) 2.54336 0.232176
\(121\) −0.281153 + 10.9964i −0.0255594 + 0.999673i
\(122\) −3.59696 −0.325653
\(123\) 14.3084 + 10.3957i 1.29015 + 0.937345i
\(124\) 2.43787 7.50298i 0.218927 0.673787i
\(125\) 0.309017 + 0.951057i 0.0276393 + 0.0850651i
\(126\) −2.80623 + 2.03884i −0.249999 + 0.181635i
\(127\) −12.3615 + 8.98117i −1.09691 + 0.796950i −0.980552 0.196258i \(-0.937121\pi\)
−0.116355 + 0.993208i \(0.537121\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) 2.37586 7.31215i 0.209183 0.643799i
\(130\) 5.19594 + 3.77507i 0.455714 + 0.331096i
\(131\) −5.65461 −0.494045 −0.247023 0.969010i \(-0.579452\pi\)
−0.247023 + 0.969010i \(0.579452\pi\)
\(132\) 5.88799 + 6.04046i 0.512484 + 0.525754i
\(133\) 2.46869 0.214063
\(134\) −1.03734 0.753669i −0.0896122 0.0651071i
\(135\) −0.368363 + 1.13370i −0.0317036 + 0.0975738i
\(136\) −1.22181 3.76033i −0.104769 0.322446i
\(137\) 3.19795 2.32344i 0.273219 0.198505i −0.442735 0.896652i \(-0.645992\pi\)
0.715954 + 0.698147i \(0.245992\pi\)
\(138\) −10.2766 + 7.46642i −0.874806 + 0.635584i
\(139\) −6.49721 19.9964i −0.551086 1.69607i −0.706061 0.708151i \(-0.749530\pi\)
0.154975 0.987918i \(-0.450470\pi\)
\(140\) −0.309017 + 0.951057i −0.0261167 + 0.0803789i
\(141\) −17.2425 12.5274i −1.45208 1.05500i
\(142\) 5.90025 0.495138
\(143\) 3.06307 + 21.0798i 0.256147 + 1.76278i
\(144\) 3.46869 0.289057
\(145\) −7.31677 5.31594i −0.607624 0.441465i
\(146\) −3.16808 + 9.75035i −0.262192 + 0.806944i
\(147\) −0.785942 2.41888i −0.0648234 0.199506i
\(148\) −8.93480 + 6.49151i −0.734436 + 0.533599i
\(149\) 6.91975 5.02749i 0.566888 0.411868i −0.267085 0.963673i \(-0.586061\pi\)
0.833973 + 0.551805i \(0.186061\pi\)
\(150\) 0.785942 + 2.41888i 0.0641719 + 0.197501i
\(151\) −0.683406 + 2.10331i −0.0556148 + 0.171165i −0.975005 0.222181i \(-0.928682\pi\)
0.919391 + 0.393346i \(0.128682\pi\)
\(152\) −1.99721 1.45106i −0.161995 0.117696i
\(153\) 13.7147 1.10877
\(154\) −2.97414 + 1.46782i −0.239663 + 0.118281i
\(155\) 7.88910 0.633668
\(156\) 13.2152 + 9.60138i 1.05806 + 0.768726i
\(157\) −4.13660 + 12.7311i −0.330136 + 1.01606i 0.638932 + 0.769263i \(0.279377\pi\)
−0.969068 + 0.246792i \(0.920623\pi\)
\(158\) −1.91930 5.90700i −0.152691 0.469936i
\(159\) 20.7031 15.0417i 1.64186 1.19288i
\(160\) 0.809017 0.587785i 0.0639584 0.0464685i
\(161\) −1.54336 4.74998i −0.121634 0.374351i
\(162\) 2.27877 7.01334i 0.179037 0.551020i
\(163\) −1.66095 1.20675i −0.130095 0.0945198i 0.520835 0.853658i \(-0.325621\pi\)
−0.650930 + 0.759138i \(0.725621\pi\)
\(164\) 6.95385 0.543004
\(165\) −3.92533 + 7.46642i −0.305586 + 0.581260i
\(166\) −13.3383 −1.03525
\(167\) −17.1525 12.4621i −1.32730 0.964343i −0.999810 0.0194894i \(-0.993796\pi\)
−0.327494 0.944853i \(-0.606204\pi\)
\(168\) −0.785942 + 2.41888i −0.0606367 + 0.186621i
\(169\) 8.72943 + 26.8664i 0.671494 + 2.06665i
\(170\) 3.19873 2.32401i 0.245332 0.178244i
\(171\) 6.92771 5.03328i 0.529775 0.384904i
\(172\) −0.934142 2.87499i −0.0712276 0.219216i
\(173\) −1.82700 + 5.62293i −0.138904 + 0.427504i −0.996177 0.0873592i \(-0.972157\pi\)
0.857272 + 0.514863i \(0.172157\pi\)
\(174\) −18.6092 13.5204i −1.41076 1.02498i
\(175\) −1.00000 −0.0755929
\(176\) 3.26889 + 0.560659i 0.246402 + 0.0422613i
\(177\) 10.4170 0.782987
\(178\) 11.9275 + 8.66584i 0.894004 + 0.649532i
\(179\) −5.52768 + 17.0124i −0.413158 + 1.27157i 0.500730 + 0.865604i \(0.333065\pi\)
−0.913888 + 0.405966i \(0.866935\pi\)
\(180\) 1.07188 + 3.29892i 0.0798935 + 0.245887i
\(181\) −8.95660 + 6.50735i −0.665739 + 0.483688i −0.868596 0.495521i \(-0.834977\pi\)
0.202857 + 0.979208i \(0.434977\pi\)
\(182\) −5.19594 + 3.77507i −0.385149 + 0.279827i
\(183\) −2.82700 8.70062i −0.208978 0.643168i
\(184\) −1.54336 + 4.74998i −0.113778 + 0.350173i
\(185\) −8.93480 6.49151i −0.656900 0.477265i
\(186\) 20.0648 1.47123
\(187\) 12.9247 + 2.21676i 0.945149 + 0.162106i
\(188\) −8.37984 −0.611162
\(189\) −0.964387 0.700668i −0.0701488 0.0509661i
\(190\) 0.762867 2.34786i 0.0553442 0.170332i
\(191\) −2.95413 9.09187i −0.213753 0.657865i −0.999240 0.0389860i \(-0.987587\pi\)
0.785487 0.618879i \(-0.212413\pi\)
\(192\) 2.05762 1.49495i 0.148496 0.107889i
\(193\) 13.4981 9.80695i 0.971615 0.705920i 0.0157962 0.999875i \(-0.494972\pi\)
0.955819 + 0.293955i \(0.0949717\pi\)
\(194\) 3.69594 + 11.3749i 0.265353 + 0.816674i
\(195\) −5.04774 + 15.5354i −0.361476 + 1.11251i
\(196\) −0.809017 0.587785i −0.0577869 0.0419847i
\(197\) 0.533440 0.0380060 0.0190030 0.999819i \(-0.493951\pi\)
0.0190030 + 0.999819i \(0.493951\pi\)
\(198\) −5.35344 + 10.1829i −0.380453 + 0.723664i
\(199\) −2.81443 −0.199510 −0.0997548 0.995012i \(-0.531806\pi\)
−0.0997548 + 0.995012i \(0.531806\pi\)
\(200\) 0.809017 + 0.587785i 0.0572061 + 0.0415627i
\(201\) 1.00775 3.10153i 0.0710811 0.218765i
\(202\) 0.698732 + 2.15048i 0.0491626 + 0.151307i
\(203\) 7.31677 5.31594i 0.513536 0.373106i
\(204\) 8.13553 5.91081i 0.569601 0.413840i
\(205\) 2.14886 + 6.61350i 0.150083 + 0.461907i
\(206\) −4.15192 + 12.7783i −0.289278 + 0.890307i
\(207\) −14.0155 10.1829i −0.974144 0.707757i
\(208\) 6.42254 0.445323
\(209\) 7.34222 3.62360i 0.507872 0.250650i
\(210\) −2.54336 −0.175509
\(211\) 2.59078 + 1.88232i 0.178357 + 0.129584i 0.673382 0.739295i \(-0.264841\pi\)
−0.495025 + 0.868879i \(0.664841\pi\)
\(212\) 3.10922 9.56920i 0.213542 0.657215i
\(213\) 4.63726 + 14.2720i 0.317740 + 0.977902i
\(214\) 10.8310 7.86920i 0.740394 0.537928i
\(215\) 2.44561 1.77684i 0.166790 0.121180i
\(216\) 0.368363 + 1.13370i 0.0250639 + 0.0771389i
\(217\) −2.43787 + 7.50298i −0.165493 + 0.509335i
\(218\) −7.01922 5.09976i −0.475402 0.345400i
\(219\) −26.0749 −1.76198
\(220\) 0.476925 + 3.28216i 0.0321543 + 0.221283i
\(221\) 25.3938 1.70817
\(222\) −22.7244 16.5103i −1.52516 1.10810i
\(223\) −0.237490 + 0.730921i −0.0159035 + 0.0489461i −0.958693 0.284442i \(-0.908192\pi\)
0.942790 + 0.333388i \(0.108192\pi\)
\(224\) 0.309017 + 0.951057i 0.0206471 + 0.0635451i
\(225\) −2.80623 + 2.03884i −0.187082 + 0.135923i
\(226\) −7.41603 + 5.38806i −0.493307 + 0.358408i
\(227\) 2.03561 + 6.26497i 0.135108 + 0.415821i 0.995607 0.0936322i \(-0.0298478\pi\)
−0.860498 + 0.509453i \(0.829848\pi\)
\(228\) 1.94025 5.97147i 0.128496 0.395470i
\(229\) 18.8362 + 13.6853i 1.24473 + 0.904352i 0.997904 0.0647076i \(-0.0206115\pi\)
0.246829 + 0.969059i \(0.420611\pi\)
\(230\) −4.99442 −0.329323
\(231\) −5.88799 6.04046i −0.387401 0.397433i
\(232\) −9.04402 −0.593769
\(233\) 1.39344 + 1.01239i 0.0912872 + 0.0663241i 0.632493 0.774566i \(-0.282032\pi\)
−0.541205 + 0.840890i \(0.682032\pi\)
\(234\) −6.88422 + 21.1874i −0.450035 + 1.38507i
\(235\) −2.58951 7.96970i −0.168921 0.519886i
\(236\) 3.31353 2.40742i 0.215692 0.156710i
\(237\) 12.7799 9.28513i 0.830142 0.603134i
\(238\) 1.22181 + 3.76033i 0.0791980 + 0.243746i
\(239\) 3.59810 11.0738i 0.232742 0.716306i −0.764671 0.644421i \(-0.777098\pi\)
0.997413 0.0718853i \(-0.0229016\pi\)
\(240\) 2.05762 + 1.49495i 0.132819 + 0.0964986i
\(241\) −9.58236 −0.617254 −0.308627 0.951183i \(-0.599870\pi\)
−0.308627 + 0.951183i \(0.599870\pi\)
\(242\) −6.69098 + 8.73102i −0.430113 + 0.561251i
\(243\) 22.3316 1.43257
\(244\) −2.91000 2.11424i −0.186294 0.135350i
\(245\) 0.309017 0.951057i 0.0197424 0.0607608i
\(246\) 5.46532 + 16.8205i 0.348456 + 1.07244i
\(247\) 12.8272 9.31949i 0.816174 0.592985i
\(248\) 6.38242 4.63710i 0.405284 0.294456i
\(249\) −10.4831 32.2637i −0.664341 2.04463i
\(250\) −0.309017 + 0.951057i −0.0195440 + 0.0601501i
\(251\) 6.83950 + 4.96919i 0.431706 + 0.313653i 0.782331 0.622863i \(-0.214031\pi\)
−0.350625 + 0.936516i \(0.614031\pi\)
\(252\) −3.46869 −0.218507
\(253\) −11.5623 11.8617i −0.726916 0.745739i
\(254\) −15.2797 −0.958732
\(255\) 8.13553 + 5.91081i 0.509467 + 0.370149i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −6.29635 19.3782i −0.392756 1.20878i −0.930696 0.365794i \(-0.880797\pi\)
0.537940 0.842983i \(-0.319203\pi\)
\(258\) 6.22008 4.51916i 0.387246 0.281350i
\(259\) 8.93480 6.49151i 0.555181 0.403363i
\(260\) 1.98467 + 6.10820i 0.123084 + 0.378814i
\(261\) 9.69414 29.8355i 0.600052 1.84677i
\(262\) −4.57467 3.32369i −0.282624 0.205338i
\(263\) 16.1920 0.998444 0.499222 0.866474i \(-0.333619\pi\)
0.499222 + 0.866474i \(0.333619\pi\)
\(264\) 1.21299 + 8.34771i 0.0746546 + 0.513766i
\(265\) 10.0616 0.618082
\(266\) 1.99721 + 1.45106i 0.122457 + 0.0889702i
\(267\) −11.5873 + 35.6621i −0.709131 + 2.18248i
\(268\) −0.396227 1.21946i −0.0242034 0.0744905i
\(269\) 21.6933 15.7611i 1.32267 0.960973i 0.322771 0.946477i \(-0.395386\pi\)
0.999895 0.0144955i \(-0.00461424\pi\)
\(270\) −0.964387 + 0.700668i −0.0586907 + 0.0426413i
\(271\) −6.93163 21.3334i −0.421067 1.29591i −0.906711 0.421753i \(-0.861415\pi\)
0.485644 0.874157i \(-0.338585\pi\)
\(272\) 1.22181 3.76033i 0.0740829 0.228004i
\(273\) −13.2152 9.60138i −0.799818 0.581102i
\(274\) 3.95288 0.238802
\(275\) −2.97414 + 1.46782i −0.179347 + 0.0885131i
\(276\) −12.7026 −0.764608
\(277\) −17.8914 12.9989i −1.07499 0.781026i −0.0981876 0.995168i \(-0.531305\pi\)
−0.976803 + 0.214142i \(0.931305\pi\)
\(278\) 6.49721 19.9964i 0.389677 1.19930i
\(279\) 8.45620 + 26.0255i 0.506260 + 1.55811i
\(280\) −0.809017 + 0.587785i −0.0483480 + 0.0351269i
\(281\) 10.1696 7.38864i 0.606667 0.440769i −0.241572 0.970383i \(-0.577663\pi\)
0.848239 + 0.529613i \(0.177663\pi\)
\(282\) −6.58607 20.2698i −0.392195 1.20705i
\(283\) 1.57746 4.85492i 0.0937703 0.288595i −0.893161 0.449737i \(-0.851518\pi\)
0.986931 + 0.161142i \(0.0515177\pi\)
\(284\) 4.77340 + 3.46808i 0.283249 + 0.205793i
\(285\) 6.27877 0.371922
\(286\) −9.91230 + 18.8543i −0.586127 + 1.11488i
\(287\) −6.95385 −0.410473
\(288\) 2.80623 + 2.03884i 0.165359 + 0.120140i
\(289\) −0.422448 + 1.30016i −0.0248499 + 0.0764800i
\(290\) −2.79476 8.60137i −0.164114 0.505090i
\(291\) −24.6098 + 17.8801i −1.44265 + 1.04815i
\(292\) −8.29414 + 6.02605i −0.485378 + 0.352648i
\(293\) 5.33226 + 16.4110i 0.311514 + 0.958742i 0.977166 + 0.212479i \(0.0681538\pi\)
−0.665651 + 0.746263i \(0.731846\pi\)
\(294\) 0.785942 2.41888i 0.0458371 0.141072i
\(295\) 3.31353 + 2.40742i 0.192921 + 0.140165i
\(296\) −11.0440 −0.641921
\(297\) −3.89668 0.668332i −0.226108 0.0387806i
\(298\) 8.55328 0.495478
\(299\) −25.9507 18.8543i −1.50077 1.09037i
\(300\) −0.785942 + 2.41888i −0.0453764 + 0.139654i
\(301\) 0.934142 + 2.87499i 0.0538430 + 0.165712i
\(302\) −1.78918 + 1.29992i −0.102956 + 0.0748017i
\(303\) −4.65258 + 3.38030i −0.267284 + 0.194193i
\(304\) −0.762867 2.34786i −0.0437534 0.134659i
\(305\) 1.11152 3.42091i 0.0636456 0.195881i
\(306\) 11.0954 + 8.06129i 0.634282 + 0.460833i
\(307\) 24.8048 1.41569 0.707844 0.706369i \(-0.249668\pi\)
0.707844 + 0.706369i \(0.249668\pi\)
\(308\) −3.26889 0.560659i −0.186262 0.0319465i
\(309\) −34.1724 −1.94400
\(310\) 6.38242 + 4.63710i 0.362497 + 0.263369i
\(311\) −4.65745 + 14.3342i −0.264100 + 0.812816i 0.727800 + 0.685790i \(0.240543\pi\)
−0.991899 + 0.127026i \(0.959457\pi\)
\(312\) 5.04774 + 15.5354i 0.285772 + 0.879517i
\(313\) 11.8713 8.62498i 0.671004 0.487513i −0.199357 0.979927i \(-0.563885\pi\)
0.870361 + 0.492414i \(0.163885\pi\)
\(314\) −10.8298 + 7.86828i −0.611158 + 0.444033i
\(315\) −1.07188 3.29892i −0.0603938 0.185873i
\(316\) 1.91930 5.90700i 0.107969 0.332295i
\(317\) 11.5438 + 8.38707i 0.648365 + 0.471065i 0.862714 0.505692i \(-0.168763\pi\)
−0.214349 + 0.976757i \(0.568763\pi\)
\(318\) 25.5904 1.43504
\(319\) 13.9582 26.5501i 0.781509 1.48652i
\(320\) 1.00000 0.0559017
\(321\) 27.5472 + 20.0142i 1.53754 + 1.11709i
\(322\) 1.54336 4.74998i 0.0860082 0.264706i
\(323\) −3.01626 9.28310i −0.167829 0.516526i
\(324\) 5.96590 4.33448i 0.331439 0.240805i
\(325\) −5.19594 + 3.77507i −0.288219 + 0.209403i
\(326\) −0.634425 1.95256i −0.0351375 0.108142i
\(327\) 6.81902 20.9868i 0.377093 1.16057i
\(328\) 5.62578 + 4.08737i 0.310632 + 0.225687i
\(329\) 8.37984 0.461995
\(330\) −7.56431 + 3.73321i −0.416401 + 0.205506i
\(331\) −12.9209 −0.710197 −0.355099 0.934829i \(-0.615553\pi\)
−0.355099 + 0.934829i \(0.615553\pi\)
\(332\) −10.7909 7.84005i −0.592228 0.430279i
\(333\) 11.8379 36.4333i 0.648713 1.99653i
\(334\) −6.55169 20.1640i −0.358492 1.10333i
\(335\) 1.03734 0.753669i 0.0566757 0.0411773i
\(336\) −2.05762 + 1.49495i −0.112253 + 0.0815562i
\(337\) 6.36585 + 19.5921i 0.346770 + 1.06725i 0.960629 + 0.277833i \(0.0896162\pi\)
−0.613859 + 0.789416i \(0.710384\pi\)
\(338\) −8.72943 + 26.8664i −0.474818 + 1.46134i
\(339\) −18.8616 13.7038i −1.02442 0.744287i
\(340\) 3.95385 0.214428
\(341\) 3.76251 + 25.8933i 0.203751 + 1.40220i
\(342\) 8.56312 0.463040
\(343\) 0.809017 + 0.587785i 0.0436828 + 0.0317374i
\(344\) 0.934142 2.87499i 0.0503655 0.155009i
\(345\) −3.92533 12.0809i −0.211333 0.650415i
\(346\) −4.78315 + 3.47516i −0.257144 + 0.186826i
\(347\) 3.08349 2.24028i 0.165530 0.120265i −0.501936 0.864905i \(-0.667379\pi\)
0.667466 + 0.744640i \(0.267379\pi\)
\(348\) −7.10808 21.8764i −0.381033 1.17270i
\(349\) −6.11180 + 18.8102i −0.327157 + 1.00689i 0.643300 + 0.765614i \(0.277565\pi\)
−0.970457 + 0.241272i \(0.922435\pi\)
\(350\) −0.809017 0.587785i −0.0432438 0.0314184i
\(351\) −7.65598 −0.408646
\(352\) 2.31504 + 2.37499i 0.123392 + 0.126587i
\(353\) −2.85223 −0.151809 −0.0759044 0.997115i \(-0.524184\pi\)
−0.0759044 + 0.997115i \(0.524184\pi\)
\(354\) 8.42750 + 6.12294i 0.447917 + 0.325430i
\(355\) −1.82328 + 5.61147i −0.0967696 + 0.297826i
\(356\) 4.55590 + 14.0216i 0.241462 + 0.743144i
\(357\) −8.13553 + 5.91081i −0.430578 + 0.312833i
\(358\) −14.4716 + 10.5143i −0.764850 + 0.555696i
\(359\) 5.23394 + 16.1084i 0.276237 + 0.850169i 0.988890 + 0.148652i \(0.0474935\pi\)
−0.712653 + 0.701517i \(0.752506\pi\)
\(360\) −1.07188 + 3.29892i −0.0564933 + 0.173868i
\(361\) 10.4408 + 7.58570i 0.549517 + 0.399248i
\(362\) −11.0710 −0.581877
\(363\) −26.3780 9.32261i −1.38449 0.489310i
\(364\) −6.42254 −0.336633
\(365\) −8.29414 6.02605i −0.434135 0.315418i
\(366\) 2.82700 8.70062i 0.147770 0.454789i
\(367\) −6.18204 19.0264i −0.322700 0.993168i −0.972468 0.233036i \(-0.925134\pi\)
0.649768 0.760132i \(-0.274866\pi\)
\(368\) −4.04057 + 2.93565i −0.210629 + 0.153031i
\(369\) −19.5141 + 14.1778i −1.01586 + 0.738068i
\(370\) −3.41279 10.5035i −0.177422 0.546050i
\(371\) −3.10922 + 9.56920i −0.161423 + 0.496808i
\(372\) 16.2328 + 11.7938i 0.841631 + 0.611481i
\(373\) −23.1627 −1.19932 −0.599660 0.800255i \(-0.704697\pi\)
−0.599660 + 0.800255i \(0.704697\pi\)
\(374\) 9.15333 + 9.39035i 0.473308 + 0.485564i
\(375\) −2.54336 −0.131339
\(376\) −6.77943 4.92554i −0.349622 0.254016i
\(377\) 17.9494 55.2427i 0.924443 2.84514i
\(378\) −0.368363 1.13370i −0.0189466 0.0583115i
\(379\) −26.3795 + 19.1658i −1.35502 + 0.984481i −0.356278 + 0.934380i \(0.615954\pi\)
−0.998744 + 0.0501010i \(0.984046\pi\)
\(380\) 1.99721 1.45106i 0.102455 0.0744378i
\(381\) −12.0089 36.9597i −0.615236 1.89350i
\(382\) 2.95413 9.09187i 0.151146 0.465181i
\(383\) −4.18202 3.03842i −0.213691 0.155256i 0.475791 0.879558i \(-0.342162\pi\)
−0.689482 + 0.724303i \(0.742162\pi\)
\(384\) 2.54336 0.129790
\(385\) −0.476925 3.28216i −0.0243064 0.167274i
\(386\) 16.6846 0.849223
\(387\) 8.48308 + 6.16332i 0.431219 + 0.313299i
\(388\) −3.69594 + 11.3749i −0.187633 + 0.577475i
\(389\) −0.268314 0.825787i −0.0136041 0.0418690i 0.944024 0.329877i \(-0.107007\pi\)
−0.957628 + 0.288008i \(0.907007\pi\)
\(390\) −13.2152 + 9.60138i −0.669176 + 0.486185i
\(391\) −15.9758 + 11.6071i −0.807932 + 0.586997i
\(392\) −0.309017 0.951057i −0.0156077 0.0480356i
\(393\) 4.44419 13.6778i 0.224180 0.689955i
\(394\) 0.431562 + 0.313548i 0.0217418 + 0.0157963i
\(395\) 6.21099 0.312509
\(396\) −10.3164 + 5.09143i −0.518417 + 0.255854i
\(397\) −16.7823 −0.842280 −0.421140 0.906996i \(-0.638370\pi\)
−0.421140 + 0.906996i \(0.638370\pi\)
\(398\) −2.27692 1.65428i −0.114132 0.0829215i
\(399\) −1.94025 + 5.97147i −0.0971339 + 0.298947i
\(400\) 0.309017 + 0.951057i 0.0154508 + 0.0475528i
\(401\) 1.34614 0.978031i 0.0672233 0.0488406i −0.553666 0.832739i \(-0.686772\pi\)
0.620889 + 0.783898i \(0.286772\pi\)
\(402\) 2.63832 1.91685i 0.131587 0.0956039i
\(403\) 15.6573 + 48.1882i 0.779945 + 2.40042i
\(404\) −0.698732 + 2.15048i −0.0347632 + 0.106990i
\(405\) 5.96590 + 4.33448i 0.296448 + 0.215382i
\(406\) 9.04402 0.448847
\(407\) 17.0449 32.4214i 0.844885 1.60707i
\(408\) 10.0561 0.497850
\(409\) 16.5468 + 12.0220i 0.818187 + 0.594448i 0.916193 0.400738i \(-0.131246\pi\)
−0.0980056 + 0.995186i \(0.531246\pi\)
\(410\) −2.14886 + 6.61350i −0.106125 + 0.326618i
\(411\) 3.10673 + 9.56154i 0.153244 + 0.471636i
\(412\) −10.8699 + 7.89743i −0.535520 + 0.389078i
\(413\) −3.31353 + 2.40742i −0.163048 + 0.118461i
\(414\) −5.35344 16.4762i −0.263107 0.809761i
\(415\) 4.12176 12.6855i 0.202329 0.622705i
\(416\) 5.19594 + 3.77507i 0.254752 + 0.185088i
\(417\) 53.4753 2.61869
\(418\) 8.06988 + 1.38409i 0.394711 + 0.0676982i
\(419\) 18.0870 0.883609 0.441804 0.897111i \(-0.354339\pi\)
0.441804 + 0.897111i \(0.354339\pi\)
\(420\) −2.05762 1.49495i −0.100402 0.0729461i
\(421\) −4.52289 + 13.9200i −0.220432 + 0.678420i 0.778291 + 0.627904i \(0.216087\pi\)
−0.998723 + 0.0505167i \(0.983913\pi\)
\(422\) 0.989592 + 3.04565i 0.0481726 + 0.148260i
\(423\) 23.5157 17.0852i 1.14337 0.830710i
\(424\) 8.14004 5.91409i 0.395315 0.287214i
\(425\) 1.22181 + 3.76033i 0.0592663 + 0.182403i
\(426\) −4.63726 + 14.2720i −0.224676 + 0.691481i
\(427\) 2.91000 + 2.11424i 0.140825 + 0.102315i
\(428\) 13.3879 0.647128
\(429\) −53.3969 9.15828i −2.57802 0.442166i
\(430\) 3.02295 0.145779
\(431\) 0.509264 + 0.370002i 0.0245304 + 0.0178224i 0.599983 0.800013i \(-0.295174\pi\)
−0.575453 + 0.817835i \(0.695174\pi\)
\(432\) −0.368363 + 1.13370i −0.0177229 + 0.0545454i
\(433\) −4.69050 14.4359i −0.225411 0.693743i −0.998250 0.0591409i \(-0.981164\pi\)
0.772839 0.634602i \(-0.218836\pi\)
\(434\) −6.38242 + 4.63710i −0.306366 + 0.222588i
\(435\) 18.6092 13.5204i 0.892242 0.648252i
\(436\) −2.68110 8.25159i −0.128402 0.395180i
\(437\) −3.81008 + 11.7262i −0.182261 + 0.560941i
\(438\) −21.0950 15.3264i −1.00796 0.732324i
\(439\) 12.5690 0.599888 0.299944 0.953957i \(-0.403032\pi\)
0.299944 + 0.953957i \(0.403032\pi\)
\(440\) −1.54336 + 2.93565i −0.0735769 + 0.139952i
\(441\) 3.46869 0.165176
\(442\) 20.5440 + 14.9261i 0.977178 + 0.709961i
\(443\) −0.883389 + 2.71879i −0.0419711 + 0.129174i −0.969846 0.243717i \(-0.921633\pi\)
0.927875 + 0.372890i \(0.121633\pi\)
\(444\) −8.67996 26.7142i −0.411933 1.26780i
\(445\) −11.9275 + 8.66584i −0.565418 + 0.410800i
\(446\) −0.621758 + 0.451734i −0.0294411 + 0.0213902i
\(447\) 6.72239 + 20.6894i 0.317958 + 0.978574i
\(448\) −0.309017 + 0.951057i −0.0145997 + 0.0449332i
\(449\) −23.0357 16.7364i −1.08712 0.789839i −0.108209 0.994128i \(-0.534512\pi\)
−0.978911 + 0.204289i \(0.934512\pi\)
\(450\) −3.46869 −0.163516
\(451\) −20.6817 + 10.2070i −0.973863 + 0.480630i
\(452\) −9.16671 −0.431166
\(453\) −4.55053 3.30616i −0.213803 0.155337i
\(454\) −2.03561 + 6.26497i −0.0955361 + 0.294030i
\(455\) −1.98467 6.10820i −0.0930430 0.286357i
\(456\) 5.07963 3.69057i 0.237876 0.172827i
\(457\) −6.17590 + 4.48705i −0.288896 + 0.209895i −0.722788 0.691069i \(-0.757140\pi\)
0.433892 + 0.900965i \(0.357140\pi\)
\(458\) 7.19480 + 22.1433i 0.336191 + 1.03469i
\(459\) −1.45645 + 4.48250i −0.0679814 + 0.209225i
\(460\) −4.04057 2.93565i −0.188393 0.136875i
\(461\) −4.72213 −0.219931 −0.109966 0.993935i \(-0.535074\pi\)
−0.109966 + 0.993935i \(0.535074\pi\)
\(462\) −1.21299 8.34771i −0.0564335 0.388371i
\(463\) −19.4328 −0.903117 −0.451558 0.892242i \(-0.649132\pi\)
−0.451558 + 0.892242i \(0.649132\pi\)
\(464\) −7.31677 5.31594i −0.339672 0.246786i
\(465\) −6.20038 + 19.0828i −0.287536 + 0.884943i
\(466\) 0.532246 + 1.63809i 0.0246558 + 0.0758829i
\(467\) 10.9573 7.96094i 0.507043 0.368388i −0.304658 0.952462i \(-0.598542\pi\)
0.811701 + 0.584073i \(0.198542\pi\)
\(468\) −18.0231 + 13.0946i −0.833119 + 0.605296i
\(469\) 0.396227 + 1.21946i 0.0182961 + 0.0563095i
\(470\) 2.58951 7.96970i 0.119445 0.367615i
\(471\) −27.5440 20.0119i −1.26916 0.922099i
\(472\) 4.09575 0.188522
\(473\) 6.99825 + 7.17947i 0.321780 + 0.330112i
\(474\) 15.7968 0.725571
\(475\) 1.99721 + 1.45106i 0.0916384 + 0.0665792i
\(476\) −1.22181 + 3.76033i −0.0560014 + 0.172355i
\(477\) 10.7849 + 33.1926i 0.493808 + 1.51978i
\(478\) 9.41996 6.84400i 0.430859 0.313037i
\(479\) −3.50324 + 2.54525i −0.160067 + 0.116296i −0.664936 0.746901i \(-0.731541\pi\)
0.504868 + 0.863196i \(0.331541\pi\)
\(480\) 0.785942 + 2.41888i 0.0358732 + 0.110406i
\(481\) 21.9188 67.4591i 0.999410 3.07587i
\(482\) −7.75229 5.63237i −0.353107 0.256547i
\(483\) 12.7026 0.577990
\(484\) −10.5451 + 3.13068i −0.479322 + 0.142304i
\(485\) −11.9603 −0.543090
\(486\) 18.0666 + 13.1262i 0.819518 + 0.595415i
\(487\) −11.3026 + 34.7858i −0.512170 + 1.57630i 0.276204 + 0.961099i \(0.410923\pi\)
−0.788374 + 0.615197i \(0.789077\pi\)
\(488\) −1.11152 3.42091i −0.0503162 0.154857i
\(489\) 4.22439 3.06920i 0.191033 0.138794i
\(490\) 0.809017 0.587785i 0.0365477 0.0265534i
\(491\) −9.80286 30.1701i −0.442397 1.36156i −0.885313 0.464995i \(-0.846056\pi\)
0.442916 0.896563i \(-0.353944\pi\)
\(492\) −5.46532 + 16.8205i −0.246396 + 0.758328i
\(493\) −28.9294 21.0184i −1.30291 0.946623i
\(494\) 15.8553 0.713362
\(495\) −8.03017 8.23810i −0.360929 0.370275i
\(496\) 7.88910 0.354231
\(497\) −4.77340 3.46808i −0.214116 0.155565i
\(498\) 10.4831 32.2637i 0.469760 1.44577i
\(499\) 11.3713 + 34.9973i 0.509049 + 1.56669i 0.793855 + 0.608107i \(0.208071\pi\)
−0.284805 + 0.958585i \(0.591929\pi\)
\(500\) −0.809017 + 0.587785i −0.0361803 + 0.0262866i
\(501\) 43.6251 31.6955i 1.94903 1.41605i
\(502\) 2.61246 + 8.04032i 0.116600 + 0.358857i
\(503\) 2.83090 8.71261i 0.126224 0.388476i −0.867898 0.496742i \(-0.834530\pi\)
0.994122 + 0.108266i \(0.0345297\pi\)
\(504\) −2.80623 2.03884i −0.124999 0.0908174i
\(505\) −2.26114 −0.100620
\(506\) −2.38197 16.3925i −0.105891 0.728734i
\(507\) −71.8475 −3.19086
\(508\) −12.3615 8.98117i −0.548453 0.398475i
\(509\) 4.63523 14.2658i 0.205453 0.632320i −0.794241 0.607602i \(-0.792131\pi\)
0.999694 0.0247172i \(-0.00786853\pi\)
\(510\) 3.10750 + 9.56389i 0.137602 + 0.423496i
\(511\) 8.29414 6.02605i 0.366911 0.266577i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) 0.909374 + 2.79877i 0.0401498 + 0.123569i
\(514\) 6.29635 19.3782i 0.277720 0.854735i
\(515\) −10.8699 7.89743i −0.478984 0.348002i
\(516\) 7.68845 0.338465
\(517\) 24.9228 12.3001i 1.09610 0.540959i
\(518\) 11.0440 0.485246
\(519\) −12.1653 8.83860i −0.533997 0.387972i
\(520\) −1.98467 + 6.10820i −0.0870337 + 0.267862i
\(521\) −5.19586 15.9912i −0.227635 0.700588i −0.998013 0.0630015i \(-0.979933\pi\)
0.770378 0.637587i \(-0.220067\pi\)
\(522\) 25.3796 18.4394i 1.11083 0.807069i
\(523\) −0.977990 + 0.710551i −0.0427645 + 0.0310702i −0.608962 0.793199i \(-0.708414\pi\)
0.566198 + 0.824269i \(0.308414\pi\)
\(524\) −1.74737 5.37785i −0.0763342 0.234932i
\(525\) 0.785942 2.41888i 0.0343013 0.105569i
\(526\) 13.0996 + 9.51745i 0.571172 + 0.414980i
\(527\) 31.1923 1.35876
\(528\) −3.92533 + 7.46642i −0.170828 + 0.324934i
\(529\) 1.94427 0.0845336
\(530\) 8.14004 + 5.91409i 0.353581 + 0.256892i
\(531\) −4.39016 + 13.5115i −0.190517 + 0.586351i
\(532\) 0.762867 + 2.34786i 0.0330745 + 0.101793i
\(533\) −36.1318 + 26.2513i −1.56504 + 1.13707i
\(534\) −30.3360 + 22.0404i −1.31277 + 0.953780i
\(535\) 4.13708 + 12.7326i 0.178862 + 0.550480i
\(536\) 0.396227 1.21946i 0.0171144 0.0526727i
\(537\) −36.8066 26.7416i −1.58832 1.15398i
\(538\) 26.8144 1.15605
\(539\) 3.26889 + 0.560659i 0.140801 + 0.0241493i
\(540\) −1.19205 −0.0512976
\(541\) 3.77643 + 2.74374i 0.162362 + 0.117963i 0.665999 0.745952i \(-0.268005\pi\)
−0.503638 + 0.863915i \(0.668005\pi\)
\(542\) 6.93163 21.3334i 0.297739 0.916347i
\(543\) −8.70114 26.7794i −0.373402 1.14921i
\(544\) 3.19873 2.32401i 0.137145 0.0996413i
\(545\) 7.01922 5.09976i 0.300670 0.218450i
\(546\) −5.04774 15.5354i −0.216024 0.664852i
\(547\) 6.84613 21.0702i 0.292719 0.900898i −0.691258 0.722608i \(-0.742943\pi\)
0.983978 0.178290i \(-0.0570566\pi\)
\(548\) 3.19795 + 2.32344i 0.136609 + 0.0992526i
\(549\) 12.4767 0.532494
\(550\) −3.26889 0.560659i −0.139386 0.0239066i
\(551\) −22.3269 −0.951157
\(552\) −10.2766 7.46642i −0.437403 0.317792i
\(553\) −1.91930 + 5.90700i −0.0816170 + 0.251191i
\(554\) −6.83391 21.0326i −0.290345 0.893590i
\(555\) 22.7244 16.5103i 0.964598 0.700822i
\(556\) 17.0099 12.3584i 0.721381 0.524114i
\(557\) −11.6817 35.9525i −0.494968 1.52335i −0.817007 0.576628i \(-0.804368\pi\)
0.322039 0.946726i \(-0.395632\pi\)
\(558\) −8.45620 + 26.0255i −0.357980 + 1.10175i
\(559\) 15.7071 + 11.4118i 0.664338 + 0.482670i
\(560\) −1.00000 −0.0422577
\(561\) −15.5202 + 29.5211i −0.655262 + 1.24638i
\(562\) 12.5703 0.530247
\(563\) 8.00803 + 5.81817i 0.337498 + 0.245207i 0.743605 0.668619i \(-0.233114\pi\)
−0.406107 + 0.913825i \(0.633114\pi\)
\(564\) 6.58607 20.2698i 0.277323 0.853514i
\(565\) −2.83267 8.71806i −0.119171 0.366772i
\(566\) 4.12984 3.00051i 0.173590 0.126121i
\(567\) −5.96590 + 4.33448i −0.250544 + 0.182031i
\(568\) 1.82328 + 5.61147i 0.0765030 + 0.235452i
\(569\) 1.53025 4.70961i 0.0641512 0.197437i −0.913844 0.406066i \(-0.866900\pi\)
0.977995 + 0.208629i \(0.0669002\pi\)
\(570\) 5.07963 + 3.69057i 0.212762 + 0.154581i
\(571\) 8.53293 0.357092 0.178546 0.983932i \(-0.442861\pi\)
0.178546 + 0.983932i \(0.442861\pi\)
\(572\) −19.1015 + 9.42716i −0.798674 + 0.394169i
\(573\) 24.3139 1.01573
\(574\) −5.62578 4.08737i −0.234816 0.170604i
\(575\) 1.54336 4.74998i 0.0643626 0.198088i
\(576\) 1.07188 + 3.29892i 0.0446618 + 0.137455i
\(577\) 7.95151 5.77711i 0.331026 0.240504i −0.409840 0.912157i \(-0.634415\pi\)
0.740866 + 0.671653i \(0.234415\pi\)
\(578\) −1.10598 + 0.803543i −0.0460028 + 0.0334230i
\(579\) 13.1131 + 40.3580i 0.544963 + 1.67722i
\(580\) 2.79476 8.60137i 0.116046 0.357153i
\(581\) 10.7909 + 7.84005i 0.447682 + 0.325260i
\(582\) −30.4194 −1.26093
\(583\) 4.79865 + 33.0239i 0.198740 + 1.36771i
\(584\) −10.2521 −0.424236
\(585\) −18.0231 13.0946i −0.745164 0.541393i
\(586\) −5.33226 + 16.4110i −0.220274 + 0.677933i
\(587\) 6.20045 + 19.0830i 0.255920 + 0.787641i 0.993647 + 0.112542i \(0.0358993\pi\)
−0.737727 + 0.675099i \(0.764101\pi\)
\(588\) 2.05762 1.49495i 0.0848549 0.0616507i
\(589\) 15.7562 11.4476i 0.649223 0.471688i
\(590\) 1.26566 + 3.89529i 0.0521062 + 0.160366i
\(591\) −0.419253 + 1.29033i −0.0172458 + 0.0530770i
\(592\) −8.93480 6.49151i −0.367218 0.266800i
\(593\) 3.85286 0.158218 0.0791090 0.996866i \(-0.474792\pi\)
0.0791090 + 0.996866i \(0.474792\pi\)
\(594\) −2.75964 2.83110i −0.113229 0.116162i
\(595\) −3.95385 −0.162092
\(596\) 6.91975 + 5.02749i 0.283444 + 0.205934i
\(597\) 2.21198 6.80777i 0.0905302 0.278623i
\(598\) −9.91230 30.5069i −0.405344 1.24752i
\(599\) −5.97520 + 4.34124i −0.244140 + 0.177378i −0.703126 0.711065i \(-0.748213\pi\)
0.458986 + 0.888444i \(0.348213\pi\)
\(600\) −2.05762 + 1.49495i −0.0840021 + 0.0610311i
\(601\) 7.94779 + 24.4608i 0.324197 + 0.997776i 0.971802 + 0.235799i \(0.0757708\pi\)
−0.647605 + 0.761976i \(0.724229\pi\)
\(602\) −0.934142 + 2.87499i −0.0380728 + 0.117176i
\(603\) 3.59820 + 2.61424i 0.146530 + 0.106460i
\(604\) −2.21155 −0.0899866
\(605\) −6.23607 9.06154i −0.253532 0.368404i
\(606\) −5.75091 −0.233615
\(607\) −2.44661 1.77757i −0.0993048 0.0721492i 0.537025 0.843566i \(-0.319548\pi\)
−0.636330 + 0.771417i \(0.719548\pi\)
\(608\) 0.762867 2.34786i 0.0309383 0.0952184i
\(609\) 7.10808 + 21.8764i 0.288034 + 0.886477i
\(610\) 2.91000 2.11424i 0.117823 0.0856031i
\(611\) 43.5412 31.6345i 1.76149 1.27980i
\(612\) 4.23807 + 13.0434i 0.171314 + 0.527250i
\(613\) −6.39757 + 19.6897i −0.258395 + 0.795259i 0.734746 + 0.678342i \(0.237301\pi\)
−0.993142 + 0.116917i \(0.962699\pi\)
\(614\) 20.0675 + 14.5799i 0.809860 + 0.588398i
\(615\) −17.6862 −0.713175
\(616\) −2.31504 2.37499i −0.0932757 0.0956911i
\(617\) 16.2405 0.653817 0.326909 0.945056i \(-0.393993\pi\)
0.326909 + 0.945056i \(0.393993\pi\)
\(618\) −27.6460 20.0860i −1.11209 0.807978i
\(619\) −11.1089 + 34.1896i −0.446503 + 1.37419i 0.434324 + 0.900757i \(0.356987\pi\)
−0.880827 + 0.473438i \(0.843013\pi\)
\(620\) 2.43787 + 7.50298i 0.0979071 + 0.301327i
\(621\) 4.81656 3.49943i 0.193282 0.140427i
\(622\) −12.1934 + 8.85900i −0.488909 + 0.355213i
\(623\) −4.55590 14.0216i −0.182528 0.561764i
\(624\) −5.04774 + 15.5354i −0.202071 + 0.621912i
\(625\) −0.809017 0.587785i −0.0323607 0.0235114i
\(626\) 14.6737 0.586479
\(627\) 2.99450 + 20.6079i 0.119589 + 0.823000i
\(628\) −13.3863 −0.534172
\(629\) −35.3269 25.6665i −1.40857 1.02339i
\(630\) 1.07188 3.29892i 0.0427049 0.131432i
\(631\) −12.8157 39.4428i −0.510187 1.57019i −0.791872 0.610687i \(-0.790894\pi\)
0.281686 0.959507i \(-0.409106\pi\)
\(632\) 5.02480 3.65073i 0.199876 0.145218i
\(633\) −6.58930 + 4.78741i −0.261901 + 0.190282i
\(634\) 4.40934 + 13.5706i 0.175117 + 0.538956i
\(635\) 4.72168 14.5318i 0.187374 0.576678i
\(636\) 20.7031 + 15.0417i 0.820930 + 0.596441i
\(637\) 6.42254 0.254470
\(638\) 26.8982 13.2750i 1.06491 0.525564i
\(639\) −20.4661 −0.809628
\(640\) 0.809017 + 0.587785i 0.0319792 + 0.0232343i
\(641\) 0.982315 3.02326i 0.0387991 0.119411i −0.929781 0.368113i \(-0.880004\pi\)
0.968580 + 0.248702i \(0.0800039\pi\)
\(642\) 10.5221 + 32.3837i 0.415274 + 1.27808i
\(643\) −16.2410 + 11.7998i −0.640482 + 0.465338i −0.860016 0.510267i \(-0.829546\pi\)
0.219534 + 0.975605i \(0.429546\pi\)
\(644\) 4.04057 2.93565i 0.159221 0.115681i
\(645\) 2.37586 + 7.31215i 0.0935494 + 0.287916i
\(646\) 3.01626 9.28310i 0.118673 0.365239i
\(647\) 30.8832 + 22.4380i 1.21415 + 0.882128i 0.995601 0.0936984i \(-0.0298689\pi\)
0.218545 + 0.975827i \(0.429869\pi\)
\(648\) 7.37426 0.289688
\(649\) −6.32122 + 12.0237i −0.248130 + 0.471970i
\(650\) −6.42254 −0.251913
\(651\) −16.2328 11.7938i −0.636213 0.462236i
\(652\) 0.634425 1.95256i 0.0248460 0.0764681i
\(653\) 13.6863 + 42.1219i 0.535584 + 1.64836i 0.742383 + 0.669976i \(0.233696\pi\)
−0.206799 + 0.978384i \(0.566304\pi\)
\(654\) 17.8524 12.9705i 0.698085 0.507188i
\(655\) 4.57467 3.32369i 0.178747 0.129867i
\(656\) 2.14886 + 6.61350i 0.0838988 + 0.258214i
\(657\) 10.9891 33.8209i 0.428725 1.31948i
\(658\) 6.77943 + 4.92554i 0.264290 + 0.192018i
\(659\) 30.2781 1.17947 0.589734 0.807598i \(-0.299233\pi\)
0.589734 + 0.807598i \(0.299233\pi\)
\(660\) −8.31398 1.42596i −0.323621 0.0555054i
\(661\) 7.16382 0.278640 0.139320 0.990247i \(-0.455508\pi\)
0.139320 + 0.990247i \(0.455508\pi\)
\(662\) −10.4532 7.59472i −0.406277 0.295177i
\(663\) −19.9580 + 61.4245i −0.775105 + 2.38553i
\(664\) −4.12176 12.6855i −0.159955 0.492292i
\(665\) −1.99721 + 1.45106i −0.0774486 + 0.0562697i
\(666\) 30.9920 22.5170i 1.20092 0.872518i
\(667\) 13.9582 + 42.9589i 0.540464 + 1.66338i
\(668\) 6.55169 20.1640i 0.253492 0.780170i
\(669\) −1.58136 1.14892i −0.0611388 0.0444199i
\(670\) 1.28222 0.0495364
\(671\) 11.7581 + 2.01667i 0.453916 + 0.0778526i
\(672\) −2.54336 −0.0981123
\(673\) −17.8339 12.9571i −0.687446 0.499459i 0.188374 0.982097i \(-0.439678\pi\)
−0.875820 + 0.482639i \(0.839678\pi\)
\(674\) −6.36585 + 19.5921i −0.245204 + 0.754659i
\(675\) −0.368363 1.13370i −0.0141783 0.0436363i
\(676\) −22.8539 + 16.6044i −0.878998 + 0.638629i
\(677\) −28.1578 + 20.4579i −1.08219 + 0.786260i −0.978064 0.208304i \(-0.933206\pi\)
−0.104130 + 0.994564i \(0.533206\pi\)
\(678\) −7.20451 22.1732i −0.276687 0.851556i
\(679\) 3.69594 11.3749i 0.141837 0.436530i
\(680\) 3.19873 + 2.32401i 0.122666 + 0.0891219i
\(681\) −16.7541 −0.642018
\(682\) −12.1757 + 23.1596i −0.466233 + 0.886828i
\(683\) 35.0185 1.33995 0.669973 0.742385i \(-0.266306\pi\)
0.669973 + 0.742385i \(0.266306\pi\)
\(684\) 6.92771 + 5.03328i 0.264888 + 0.192452i
\(685\) −1.22151 + 3.75941i −0.0466714 + 0.143640i
\(686\) 0.309017 + 0.951057i 0.0117983 + 0.0363115i
\(687\) −47.9073 + 34.8067i −1.82778 + 1.32796i
\(688\) 2.44561 1.77684i 0.0932382 0.0677415i
\(689\) 19.9691 + 61.4585i 0.760762 + 2.34138i
\(690\) 3.92533 12.0809i 0.149435 0.459913i
\(691\) 15.8191 + 11.4932i 0.601786 + 0.437223i 0.846513 0.532369i \(-0.178698\pi\)
−0.244726 + 0.969592i \(0.578698\pi\)
\(692\) −5.91230 −0.224752
\(693\) 10.3164 5.09143i 0.391886 0.193407i
\(694\) 3.81140 0.144679
\(695\) 17.0099 + 12.3584i 0.645223 + 0.468782i
\(696\) 7.10808 21.8764i 0.269431 0.829223i
\(697\) 8.49626 + 26.1488i 0.321819 + 0.990457i
\(698\) −16.0009 + 11.6253i −0.605643 + 0.440025i
\(699\) −3.54402 + 2.57488i −0.134047 + 0.0973910i
\(700\) −0.309017 0.951057i −0.0116797 0.0359466i
\(701\) −4.30949 + 13.2632i −0.162767 + 0.500946i −0.998865 0.0476348i \(-0.984832\pi\)
0.836098 + 0.548581i \(0.184832\pi\)
\(702\) −6.19381 4.50007i −0.233770 0.169844i
\(703\) −27.2643 −1.02829
\(704\) 0.476925 + 3.28216i 0.0179748 + 0.123701i
\(705\) 21.3130 0.802692
\(706\) −2.30750 1.67650i −0.0868440 0.0630959i
\(707\) 0.698732 2.15048i 0.0262785 0.0808770i
\(708\) 3.21902 + 9.90712i 0.120978 + 0.372332i
\(709\) 0.444308 0.322809i 0.0166863 0.0121233i −0.579411 0.815036i \(-0.696717\pi\)
0.596097 + 0.802912i \(0.296717\pi\)
\(710\) −4.77340 + 3.46808i −0.179143 + 0.130155i
\(711\) 6.65746 + 20.4896i 0.249674 + 0.768419i
\(712\) −4.55590 + 14.0216i −0.170740 + 0.525482i
\(713\) −31.8765 23.1596i −1.19378 0.867335i
\(714\) −10.0561 −0.376339
\(715\) −14.8685 15.2535i −0.556049 0.570447i
\(716\) −17.8879 −0.668504
\(717\) 23.9584 + 17.4068i 0.894742 + 0.650068i
\(718\) −5.23394 + 16.1084i −0.195329 + 0.601160i
\(719\) −8.00088 24.6242i −0.298382 0.918327i −0.982064 0.188547i \(-0.939622\pi\)
0.683682 0.729780i \(-0.260378\pi\)
\(720\) −2.80623 + 2.03884i −0.104582 + 0.0759833i
\(721\) 10.8699 7.89743i 0.404815 0.294116i
\(722\) 3.98804 + 12.2739i 0.148420 + 0.456788i
\(723\) 7.53118 23.1786i 0.280088 0.862021i
\(724\) −8.95660 6.50735i −0.332869 0.241844i
\(725\) 9.04402 0.335886
\(726\) −15.8606 23.0468i −0.588641 0.855346i
\(727\) −41.6185 −1.54355 −0.771773 0.635898i \(-0.780630\pi\)
−0.771773 + 0.635898i \(0.780630\pi\)
\(728\) −5.19594 3.77507i −0.192574 0.139914i
\(729\) −10.7150 + 32.9774i −0.396852 + 1.22138i
\(730\) −3.16808 9.75035i −0.117256 0.360877i
\(731\) 9.66959 7.02537i 0.357643 0.259843i
\(732\) 7.40119 5.37728i 0.273556 0.198750i
\(733\) −0.670104 2.06237i −0.0247508 0.0761752i 0.937918 0.346857i \(-0.112751\pi\)
−0.962669 + 0.270681i \(0.912751\pi\)
\(734\) 6.18204 19.0264i 0.228183 0.702276i
\(735\) 2.05762 + 1.49495i 0.0758966 + 0.0551421i
\(736\) −4.99442 −0.184097
\(737\) 2.96839 + 3.04525i 0.109342 + 0.112173i
\(738\) −24.1207 −0.887897
\(739\) −2.48164 1.80302i −0.0912888 0.0663252i 0.541205 0.840891i \(-0.317968\pi\)
−0.632493 + 0.774566i \(0.717968\pi\)
\(740\) 3.41279 10.5035i 0.125457 0.386116i
\(741\) 12.4613 + 38.3520i 0.457778 + 1.40890i
\(742\) −8.14004 + 5.91409i −0.298830 + 0.217113i
\(743\) −31.5381 + 22.9138i −1.15702 + 0.840626i −0.989399 0.145226i \(-0.953609\pi\)
−0.167623 + 0.985851i \(0.553609\pi\)
\(744\) 6.20038 + 19.0828i 0.227317 + 0.699609i
\(745\) −2.64311 + 8.13466i −0.0968361 + 0.298031i
\(746\) −18.7390 13.6147i −0.686085 0.498470i
\(747\) 46.2664 1.69280
\(748\) 1.88569 + 12.9771i 0.0689477 + 0.474492i
\(749\) −13.3879 −0.489183
\(750\) −2.05762 1.49495i −0.0751338 0.0545879i
\(751\) 7.48994 23.0517i 0.273312 0.841167i −0.716350 0.697742i \(-0.754188\pi\)
0.989661 0.143425i \(-0.0458116\pi\)
\(752\) −2.58951 7.96970i −0.0944298 0.290625i
\(753\) −17.3953 + 12.6384i −0.633921 + 0.460571i
\(754\) 46.9922 34.1418i 1.71136 1.24337i
\(755\) −0.683406 2.10331i −0.0248717 0.0765472i
\(756\) 0.368363 1.13370i 0.0133972 0.0412324i
\(757\) 19.5909 + 14.2336i 0.712042 + 0.517329i 0.883832 0.467805i \(-0.154955\pi\)
−0.171790 + 0.985134i \(0.554955\pi\)
\(758\) −32.6068 −1.18433
\(759\) 37.7794 18.6452i 1.37130 0.676779i
\(760\) 2.46869 0.0895488
\(761\) 1.68162 + 1.22177i 0.0609588 + 0.0442892i 0.617847 0.786298i \(-0.288005\pi\)
−0.556889 + 0.830587i \(0.688005\pi\)
\(762\) 12.0089 36.9597i 0.435038 1.33891i
\(763\) 2.68110 + 8.25159i 0.0970625 + 0.298728i
\(764\) 7.73401 5.61909i 0.279807 0.203291i
\(765\) −11.0954 + 8.06129i −0.401155 + 0.291456i
\(766\) −1.59739 4.91626i −0.0577160 0.177632i
\(767\) −8.12872 + 25.0176i −0.293511 + 0.903334i
\(768\) 2.05762 + 1.49495i 0.0742481 + 0.0539444i
\(769\) 14.7508 0.531929 0.265964 0.963983i \(-0.414310\pi\)
0.265964 + 0.963983i \(0.414310\pi\)
\(770\) 1.54336 2.93565i 0.0556189 0.105793i
\(771\) 51.8221 1.86633
\(772\) 13.4981 + 9.80695i 0.485808 + 0.352960i
\(773\) 15.3140 47.1318i 0.550808 1.69521i −0.155958 0.987764i \(-0.549847\pi\)
0.706766 0.707448i \(-0.250153\pi\)
\(774\) 3.24025 + 9.97246i 0.116468 + 0.358453i
\(775\) −6.38242 +