Properties

Label 390.2.bl.a.263.26
Level $390$
Weight $2$
Character 390.263
Analytic conductor $3.114$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bl (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 263.26
Character \(\chi\) \(=\) 390.263
Dual form 390.2.bl.a.347.26

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(1.49587 - 0.873148i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(2.00792 + 0.984002i) q^{5} +(-0.456238 - 1.67088i) q^{6} +(1.14260 + 4.26423i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(1.47523 - 2.61222i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(1.49587 - 0.873148i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(2.00792 + 0.984002i) q^{5} +(-0.456238 - 1.67088i) q^{6} +(1.14260 + 4.26423i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(1.47523 - 2.61222i) q^{9} +(1.47016 - 1.68482i) q^{10} +(-0.825330 + 0.476504i) q^{11} +(-1.73203 + 0.00823552i) q^{12} +(2.69900 - 2.39069i) q^{13} +4.41465 q^{14} +(3.86276 - 0.281275i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-3.33990 + 0.894923i) q^{17} +(-2.14140 - 2.10105i) q^{18} +(1.54728 + 0.893324i) q^{19} +(-1.24691 - 1.85613i) q^{20} +(5.43247 + 5.38106i) q^{21} +(0.246657 + 0.920535i) q^{22} +(-8.08195 - 2.16555i) q^{23} +(-0.440328 + 1.67515i) q^{24} +(3.06348 + 3.95159i) q^{25} +(-1.61068 - 3.22579i) q^{26} +(-0.0741174 - 5.19562i) q^{27} +(1.14260 - 4.26423i) q^{28} +(-4.88895 - 8.46790i) q^{29} +(0.728064 - 3.80394i) q^{30} -6.82211 q^{31} +(0.965926 - 0.258819i) q^{32} +(-0.818523 + 1.43342i) q^{33} +3.45772i q^{34} +(-1.90177 + 9.68655i) q^{35} +(-2.58369 + 1.52464i) q^{36} +(-6.67357 - 1.78818i) q^{37} +(1.26335 - 1.26335i) q^{38} +(1.94991 - 5.93278i) q^{39} +(-2.11561 + 0.724018i) q^{40} +(2.64130 - 1.52496i) q^{41} +(6.60373 - 3.85465i) q^{42} +(9.09289 - 2.43643i) q^{43} +0.953008 q^{44} +(5.53257 - 3.79351i) q^{45} +(-4.18353 + 7.24608i) q^{46} +(3.36827 + 3.36827i) q^{47} +(1.50410 + 0.858883i) q^{48} +(-10.8159 + 6.24459i) q^{49} +(4.60983 - 1.93635i) q^{50} +(-4.21464 + 4.25491i) q^{51} +(-3.53275 + 0.720901i) q^{52} +(2.82578 - 2.82578i) q^{53} +(-5.03777 - 1.27313i) q^{54} +(-2.12608 + 0.144656i) q^{55} +(-3.82320 - 2.20733i) q^{56} +(3.09453 - 0.0147140i) q^{57} +(-9.44472 + 2.53070i) q^{58} +(-1.06950 + 1.85244i) q^{59} +(-3.48588 - 1.68779i) q^{60} +(-1.86312 + 3.22701i) q^{61} +(-1.76569 + 6.58965i) q^{62} +(12.8247 + 3.30598i) q^{63} -1.00000i q^{64} +(7.77182 - 2.14450i) q^{65} +(1.17273 + 1.16163i) q^{66} +(13.5079 + 3.61943i) q^{67} +(3.33990 + 0.894923i) q^{68} +(-13.9804 + 3.81736i) q^{69} +(8.86427 + 4.34403i) q^{70} +(-4.99166 - 2.88194i) q^{71} +(0.803978 + 2.89026i) q^{72} +(-3.85570 - 3.85570i) q^{73} +(-3.45450 + 5.98336i) q^{74} +(8.03288 + 3.23618i) q^{75} +(-0.893324 - 1.54728i) q^{76} +(-2.97494 - 2.97494i) q^{77} +(-5.22595 - 3.41898i) q^{78} +5.02131i q^{79} +(0.151789 + 2.23091i) q^{80} +(-4.64742 - 7.70724i) q^{81} +(-0.789375 - 2.94599i) q^{82} +(0.528913 - 0.528913i) q^{83} +(-2.01413 - 7.37637i) q^{84} +(-7.58685 - 1.48953i) q^{85} -9.41365i q^{86} +(-14.7069 - 8.39807i) q^{87} +(0.246657 - 0.920535i) q^{88} +(1.40316 + 2.43034i) q^{89} +(-2.23231 - 6.32588i) q^{90} +(13.2783 + 8.77755i) q^{91} +(5.91640 + 5.91640i) q^{92} +(-10.2050 + 5.95671i) q^{93} +(4.12528 - 2.38173i) q^{94} +(2.22779 + 3.31625i) q^{95} +(1.21891 - 1.23055i) q^{96} +(1.91208 + 7.13599i) q^{97} +(3.23244 + 12.0636i) q^{98} +(0.0271878 + 2.85890i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 24 q^{13} + 56 q^{16} - 16 q^{18} - 16 q^{21} + 24 q^{27} + 12 q^{30} - 80 q^{31} + 52 q^{33} - 8 q^{36} - 8 q^{37} - 16 q^{40} + 12 q^{42} - 8 q^{43} + 20 q^{45} - 8 q^{46} - 80 q^{51} + 24 q^{52} + 8 q^{55} - 96 q^{57} + 8 q^{58} - 32 q^{60} - 16 q^{61} - 16 q^{63} - 32 q^{66} + 40 q^{67} - 32 q^{70} - 8 q^{72} - 80 q^{73} - 64 q^{75} + 16 q^{76} - 36 q^{78} + 8 q^{81} - 16 q^{82} + 96 q^{85} - 8 q^{87} + 24 q^{90} - 32 q^{91} - 68 q^{93} - 40 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 1.49587 0.873148i 0.863638 0.504112i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 2.00792 + 0.984002i 0.897969 + 0.440059i
\(6\) −0.456238 1.67088i −0.186258 0.682135i
\(7\) 1.14260 + 4.26423i 0.431861 + 1.61173i 0.748468 + 0.663170i \(0.230790\pi\)
−0.316607 + 0.948557i \(0.602544\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 1.47523 2.61222i 0.491742 0.870741i
\(10\) 1.47016 1.68482i 0.464906 0.532788i
\(11\) −0.825330 + 0.476504i −0.248846 + 0.143671i −0.619236 0.785205i \(-0.712558\pi\)
0.370390 + 0.928876i \(0.379224\pi\)
\(12\) −1.73203 + 0.00823552i −0.499994 + 0.00237739i
\(13\) 2.69900 2.39069i 0.748567 0.663059i
\(14\) 4.41465 1.17987
\(15\) 3.86276 0.281275i 0.997359 0.0726249i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −3.33990 + 0.894923i −0.810044 + 0.217051i −0.639989 0.768384i \(-0.721061\pi\)
−0.170055 + 0.985435i \(0.554394\pi\)
\(18\) −2.14140 2.10105i −0.504732 0.495223i
\(19\) 1.54728 + 0.893324i 0.354971 + 0.204943i 0.666873 0.745172i \(-0.267633\pi\)
−0.311901 + 0.950114i \(0.600966\pi\)
\(20\) −1.24691 1.85613i −0.278817 0.415043i
\(21\) 5.43247 + 5.38106i 1.18546 + 1.17424i
\(22\) 0.246657 + 0.920535i 0.0525874 + 0.196259i
\(23\) −8.08195 2.16555i −1.68520 0.451549i −0.716058 0.698040i \(-0.754056\pi\)
−0.969145 + 0.246491i \(0.920722\pi\)
\(24\) −0.440328 + 1.67515i −0.0898815 + 0.341938i
\(25\) 3.06348 + 3.95159i 0.612696 + 0.790319i
\(26\) −1.61068 3.22579i −0.315880 0.632629i
\(27\) −0.0741174 5.19562i −0.0142639 0.999898i
\(28\) 1.14260 4.26423i 0.215930 0.805864i
\(29\) −4.88895 8.46790i −0.907855 1.57245i −0.817039 0.576583i \(-0.804386\pi\)
−0.0908157 0.995868i \(-0.528947\pi\)
\(30\) 0.728064 3.80394i 0.132926 0.694500i
\(31\) −6.82211 −1.22529 −0.612644 0.790359i \(-0.709894\pi\)
−0.612644 + 0.790359i \(0.709894\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) −0.818523 + 1.43342i −0.142487 + 0.249527i
\(34\) 3.45772i 0.592993i
\(35\) −1.90177 + 9.68655i −0.321458 + 1.63733i
\(36\) −2.58369 + 1.52464i −0.430616 + 0.254106i
\(37\) −6.67357 1.78818i −1.09713 0.293975i −0.335534 0.942028i \(-0.608917\pi\)
−0.761595 + 0.648053i \(0.775583\pi\)
\(38\) 1.26335 1.26335i 0.204943 0.204943i
\(39\) 1.94991 5.93278i 0.312235 0.950005i
\(40\) −2.11561 + 0.724018i −0.334507 + 0.114477i
\(41\) 2.64130 1.52496i 0.412502 0.238158i −0.279362 0.960186i \(-0.590123\pi\)
0.691864 + 0.722028i \(0.256790\pi\)
\(42\) 6.60373 3.85465i 1.01898 0.594785i
\(43\) 9.09289 2.43643i 1.38665 0.371552i 0.513120 0.858317i \(-0.328490\pi\)
0.873533 + 0.486765i \(0.161823\pi\)
\(44\) 0.953008 0.143671
\(45\) 5.53257 3.79351i 0.824747 0.565503i
\(46\) −4.18353 + 7.24608i −0.616827 + 1.06838i
\(47\) 3.36827 + 3.36827i 0.491313 + 0.491313i 0.908720 0.417407i \(-0.137061\pi\)
−0.417407 + 0.908720i \(0.637061\pi\)
\(48\) 1.50410 + 0.858883i 0.217098 + 0.123969i
\(49\) −10.8159 + 6.24459i −1.54514 + 0.892084i
\(50\) 4.60983 1.93635i 0.651929 0.273841i
\(51\) −4.21464 + 4.25491i −0.590167 + 0.595806i
\(52\) −3.53275 + 0.720901i −0.489904 + 0.0999710i
\(53\) 2.82578 2.82578i 0.388151 0.388151i −0.485877 0.874027i \(-0.661500\pi\)
0.874027 + 0.485877i \(0.161500\pi\)
\(54\) −5.03777 1.27313i −0.685554 0.173252i
\(55\) −2.12608 + 0.144656i −0.286680 + 0.0195054i
\(56\) −3.82320 2.20733i −0.510897 0.294967i
\(57\) 3.09453 0.0147140i 0.409881 0.00194891i
\(58\) −9.44472 + 2.53070i −1.24015 + 0.332298i
\(59\) −1.06950 + 1.85244i −0.139238 + 0.241167i −0.927208 0.374546i \(-0.877799\pi\)
0.787971 + 0.615713i \(0.211132\pi\)
\(60\) −3.48588 1.68779i −0.450025 0.217892i
\(61\) −1.86312 + 3.22701i −0.238548 + 0.413177i −0.960298 0.278977i \(-0.910005\pi\)
0.721750 + 0.692154i \(0.243338\pi\)
\(62\) −1.76569 + 6.58965i −0.224243 + 0.836887i
\(63\) 12.8247 + 3.30598i 1.61576 + 0.416515i
\(64\) 1.00000i 0.125000i
\(65\) 7.77182 2.14450i 0.963975 0.265992i
\(66\) 1.17273 + 1.16163i 0.144353 + 0.142987i
\(67\) 13.5079 + 3.61943i 1.65025 + 0.442183i 0.959683 0.281085i \(-0.0906941\pi\)
0.690568 + 0.723268i \(0.257361\pi\)
\(68\) 3.33990 + 0.894923i 0.405022 + 0.108525i
\(69\) −13.9804 + 3.81736i −1.68304 + 0.459557i
\(70\) 8.86427 + 4.34403i 1.05948 + 0.519211i
\(71\) −4.99166 2.88194i −0.592401 0.342023i 0.173645 0.984808i \(-0.444445\pi\)
−0.766046 + 0.642785i \(0.777779\pi\)
\(72\) 0.803978 + 2.89026i 0.0947498 + 0.340621i
\(73\) −3.85570 3.85570i −0.451276 0.451276i 0.444502 0.895778i \(-0.353381\pi\)
−0.895778 + 0.444502i \(0.853381\pi\)
\(74\) −3.45450 + 5.98336i −0.401577 + 0.695552i
\(75\) 8.03288 + 3.23618i 0.927557 + 0.373682i
\(76\) −0.893324 1.54728i −0.102471 0.177486i
\(77\) −2.97494 2.97494i −0.339026 0.339026i
\(78\) −5.22595 3.41898i −0.591722 0.387124i
\(79\) 5.02131i 0.564942i 0.959276 + 0.282471i \(0.0911540\pi\)
−0.959276 + 0.282471i \(0.908846\pi\)
\(80\) 0.151789 + 2.23091i 0.0169705 + 0.249423i
\(81\) −4.64742 7.70724i −0.516380 0.856360i
\(82\) −0.789375 2.94599i −0.0871719 0.325330i
\(83\) 0.528913 0.528913i 0.0580558 0.0580558i −0.677483 0.735539i \(-0.736929\pi\)
0.735539 + 0.677483i \(0.236929\pi\)
\(84\) −2.01413 7.37637i −0.219760 0.804828i
\(85\) −7.58685 1.48953i −0.822909 0.161563i
\(86\) 9.41365i 1.01510i
\(87\) −14.7069 8.39807i −1.57675 0.900368i
\(88\) 0.246657 0.920535i 0.0262937 0.0981294i
\(89\) 1.40316 + 2.43034i 0.148734 + 0.257615i 0.930760 0.365631i \(-0.119147\pi\)
−0.782026 + 0.623246i \(0.785813\pi\)
\(90\) −2.23231 6.32588i −0.235306 0.666807i
\(91\) 13.2783 + 8.77755i 1.39195 + 0.920137i
\(92\) 5.91640 + 5.91640i 0.616827 + 0.616827i
\(93\) −10.2050 + 5.95671i −1.05820 + 0.617682i
\(94\) 4.12528 2.38173i 0.425490 0.245657i
\(95\) 2.22779 + 3.31625i 0.228566 + 0.340240i
\(96\) 1.21891 1.23055i 0.124404 0.125593i
\(97\) 1.91208 + 7.13599i 0.194143 + 0.724550i 0.992487 + 0.122349i \(0.0390427\pi\)
−0.798345 + 0.602201i \(0.794291\pi\)
\(98\) 3.23244 + 12.0636i 0.326525 + 1.21861i
\(99\) 0.0271878 + 2.85890i 0.00273247 + 0.287330i
\(100\) −0.677253 4.95392i −0.0677253 0.495392i
\(101\) 1.66880 0.963481i 0.166052 0.0958700i −0.414671 0.909971i \(-0.636103\pi\)
0.580723 + 0.814101i \(0.302770\pi\)
\(102\) 3.01910 + 5.17228i 0.298935 + 0.512132i
\(103\) 4.91538 + 4.91538i 0.484327 + 0.484327i 0.906510 0.422184i \(-0.138736\pi\)
−0.422184 + 0.906510i \(0.638736\pi\)
\(104\) −0.218005 + 3.59895i −0.0213772 + 0.352907i
\(105\) 5.61299 + 16.1503i 0.547772 + 1.57611i
\(106\) −1.99813 3.46086i −0.194075 0.336148i
\(107\) −0.751993 + 2.80647i −0.0726979 + 0.271312i −0.992701 0.120598i \(-0.961519\pi\)
0.920004 + 0.391910i \(0.128186\pi\)
\(108\) −2.53362 + 4.53660i −0.243798 + 0.436535i
\(109\) 9.66610i 0.925844i −0.886399 0.462922i \(-0.846801\pi\)
0.886399 0.462922i \(-0.153199\pi\)
\(110\) −0.410542 + 2.09107i −0.0391437 + 0.199376i
\(111\) −11.5441 + 3.15214i −1.09572 + 0.299188i
\(112\) −3.12163 + 3.12163i −0.294967 + 0.294967i
\(113\) 1.02785 + 3.83597i 0.0966916 + 0.360858i 0.997271 0.0738345i \(-0.0235237\pi\)
−0.900579 + 0.434693i \(0.856857\pi\)
\(114\) 0.786711 2.99290i 0.0736822 0.280310i
\(115\) −14.0970 12.3009i −1.31455 1.14707i
\(116\) 9.77789i 0.907855i
\(117\) −2.26339 10.5772i −0.209250 0.977862i
\(118\) 1.51251 + 1.51251i 0.139238 + 0.139238i
\(119\) −7.63231 13.2195i −0.699653 1.21183i
\(120\) −2.53249 + 2.93027i −0.231184 + 0.267496i
\(121\) −5.04589 + 8.73973i −0.458717 + 0.794521i
\(122\) 2.63485 + 2.63485i 0.238548 + 0.238548i
\(123\) 2.61952 4.58737i 0.236194 0.413630i
\(124\) 5.90812 + 3.41105i 0.530565 + 0.306322i
\(125\) 2.26284 + 10.9490i 0.202394 + 0.979304i
\(126\) 6.51261 11.5321i 0.580190 1.02736i
\(127\) 7.36020 + 1.97216i 0.653112 + 0.175001i 0.570135 0.821551i \(-0.306891\pi\)
0.0829765 + 0.996552i \(0.473557\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) 11.4744 11.5840i 1.01026 1.01992i
\(130\) −0.0599299 8.06204i −0.00525620 0.707087i
\(131\) 22.1031i 1.93115i 0.260117 + 0.965577i \(0.416239\pi\)
−0.260117 + 0.965577i \(0.583761\pi\)
\(132\) 1.42557 0.832117i 0.124080 0.0724265i
\(133\) −2.04142 + 7.61868i −0.177013 + 0.660623i
\(134\) 6.99220 12.1108i 0.604034 1.04622i
\(135\) 4.96368 10.5053i 0.427206 0.904154i
\(136\) 1.72886 2.99447i 0.148248 0.256774i
\(137\) 2.36675 0.634169i 0.202205 0.0541808i −0.156295 0.987710i \(-0.549955\pi\)
0.358500 + 0.933530i \(0.383288\pi\)
\(138\) 0.0689070 + 14.4920i 0.00586575 + 1.23364i
\(139\) −12.4638 7.19598i −1.05717 0.610355i −0.132519 0.991180i \(-0.542307\pi\)
−0.924647 + 0.380826i \(0.875640\pi\)
\(140\) 6.49025 7.43791i 0.548527 0.628618i
\(141\) 7.97949 + 2.09748i 0.671994 + 0.176640i
\(142\) −4.07567 + 4.07567i −0.342023 + 0.342023i
\(143\) −1.08839 + 3.25919i −0.0910156 + 0.272547i
\(144\) 2.99986 0.0285284i 0.249989 0.00237736i
\(145\) −1.48417 21.8136i −0.123254 1.81152i
\(146\) −4.72225 + 2.72639i −0.390817 + 0.225638i
\(147\) −10.7267 + 18.7850i −0.884727 + 1.54936i
\(148\) 4.88539 + 4.88539i 0.401577 + 0.401577i
\(149\) 2.42714 4.20393i 0.198839 0.344399i −0.749313 0.662216i \(-0.769616\pi\)
0.948152 + 0.317816i \(0.102950\pi\)
\(150\) 5.20497 6.92158i 0.424984 0.565144i
\(151\) −16.2684 −1.32390 −0.661951 0.749547i \(-0.730271\pi\)
−0.661951 + 0.749547i \(0.730271\pi\)
\(152\) −1.72577 + 0.462419i −0.139978 + 0.0375071i
\(153\) −2.58936 + 10.0448i −0.209338 + 0.812071i
\(154\) −3.64355 + 2.10360i −0.293605 + 0.169513i
\(155\) −13.6982 6.71297i −1.10027 0.539199i
\(156\) −4.65506 + 4.16298i −0.372703 + 0.333305i
\(157\) 1.88409 1.88409i 0.150367 0.150367i −0.627915 0.778282i \(-0.716091\pi\)
0.778282 + 0.627915i \(0.216091\pi\)
\(158\) 4.85021 + 1.29961i 0.385862 + 0.103391i
\(159\) 1.75966 6.69431i 0.139550 0.530893i
\(160\) 2.19418 + 0.430786i 0.173465 + 0.0340566i
\(161\) 36.9376i 2.91109i
\(162\) −8.64746 + 2.49428i −0.679409 + 0.195969i
\(163\) 15.2773 4.09354i 1.19661 0.320631i 0.395115 0.918631i \(-0.370705\pi\)
0.801496 + 0.598001i \(0.204038\pi\)
\(164\) −3.04991 −0.238158
\(165\) −3.05402 + 2.07276i −0.237755 + 0.161364i
\(166\) −0.373998 0.647784i −0.0290279 0.0502778i
\(167\) −3.04474 + 11.3631i −0.235609 + 0.879305i 0.742264 + 0.670107i \(0.233752\pi\)
−0.977873 + 0.209197i \(0.932915\pi\)
\(168\) −7.64632 + 0.0363570i −0.589926 + 0.00280500i
\(169\) 1.56918 12.9049i 0.120706 0.992688i
\(170\) −3.40240 + 6.94281i −0.260952 + 0.532489i
\(171\) 4.61615 2.72399i 0.353006 0.208309i
\(172\) −9.09289 2.43643i −0.693326 0.185776i
\(173\) −1.05005 3.91883i −0.0798337 0.297943i 0.914452 0.404694i \(-0.132622\pi\)
−0.994286 + 0.106751i \(0.965955\pi\)
\(174\) −11.9183 + 12.0322i −0.903528 + 0.912161i
\(175\) −13.3502 + 17.5785i −1.00918 + 1.32881i
\(176\) −0.825330 0.476504i −0.0622116 0.0359179i
\(177\) 0.0176158 + 3.70483i 0.00132409 + 0.278472i
\(178\) 2.71069 0.726327i 0.203175 0.0544405i
\(179\) 5.38795 + 9.33221i 0.402715 + 0.697522i 0.994053 0.108902i \(-0.0347334\pi\)
−0.591338 + 0.806424i \(0.701400\pi\)
\(180\) −6.68810 + 0.518989i −0.498501 + 0.0386832i
\(181\) 6.27828 0.466661 0.233330 0.972398i \(-0.425038\pi\)
0.233330 + 0.972398i \(0.425038\pi\)
\(182\) 11.9151 10.5541i 0.883209 0.782321i
\(183\) 0.0306875 + 6.45396i 0.00226848 + 0.477090i
\(184\) 7.24608 4.18353i 0.534188 0.308414i
\(185\) −11.6404 10.1573i −0.855821 0.746782i
\(186\) 3.11250 + 11.3989i 0.228220 + 0.835811i
\(187\) 2.33008 2.33008i 0.170392 0.170392i
\(188\) −1.23287 4.60115i −0.0899166 0.335573i
\(189\) 22.0706 6.25256i 1.60540 0.454807i
\(190\) 3.77985 1.29357i 0.274219 0.0938452i
\(191\) −7.59842 4.38695i −0.549802 0.317429i 0.199240 0.979951i \(-0.436153\pi\)
−0.749042 + 0.662522i \(0.769486\pi\)
\(192\) −0.873148 1.49587i −0.0630140 0.107955i
\(193\) 2.08054 7.76467i 0.149760 0.558913i −0.849737 0.527207i \(-0.823239\pi\)
0.999497 0.0317062i \(-0.0100941\pi\)
\(194\) 7.38772 0.530407
\(195\) 9.75313 9.99382i 0.698436 0.715672i
\(196\) 12.4892 0.892084
\(197\) 5.11654 19.0952i 0.364538 1.36048i −0.503507 0.863991i \(-0.667957\pi\)
0.868045 0.496485i \(-0.165376\pi\)
\(198\) 2.76852 + 0.713675i 0.196750 + 0.0507187i
\(199\) 13.2265 + 7.63633i 0.937603 + 0.541325i 0.889208 0.457503i \(-0.151256\pi\)
0.0483946 + 0.998828i \(0.484589\pi\)
\(200\) −4.96041 0.627993i −0.350754 0.0444058i
\(201\) 23.3663 6.38020i 1.64813 0.450025i
\(202\) −0.498735 1.86130i −0.0350908 0.130961i
\(203\) 30.5230 30.5230i 2.14229 2.14229i
\(204\) 5.77744 1.57754i 0.404501 0.110450i
\(205\) 6.80408 0.462941i 0.475217 0.0323332i
\(206\) 6.02008 3.47570i 0.419439 0.242163i
\(207\) −17.5796 + 17.9172i −1.22187 + 1.24533i
\(208\) 3.41990 + 1.14205i 0.237127 + 0.0791873i
\(209\) −1.70269 −0.117778
\(210\) 17.0527 1.24173i 1.17675 0.0856877i
\(211\) −3.09256 5.35648i −0.212901 0.368755i 0.739720 0.672915i \(-0.234958\pi\)
−0.952621 + 0.304159i \(0.901624\pi\)
\(212\) −3.86009 + 1.03431i −0.265112 + 0.0710365i
\(213\) −9.98320 + 0.0474685i −0.684038 + 0.00325249i
\(214\) 2.51622 + 1.45274i 0.172005 + 0.0993071i
\(215\) 20.6552 + 4.05527i 1.40868 + 0.276567i
\(216\) 3.72627 + 3.62145i 0.253541 + 0.246409i
\(217\) −7.79492 29.0910i −0.529154 1.97483i
\(218\) −9.33673 2.50177i −0.632363 0.169441i
\(219\) −9.13422 2.40101i −0.617233 0.162246i
\(220\) 1.91356 + 0.937763i 0.129012 + 0.0632239i
\(221\) −6.87489 + 10.4001i −0.462455 + 0.699584i
\(222\) 0.0568991 + 11.9666i 0.00381882 + 0.803145i
\(223\) −0.972948 + 3.63109i −0.0651534 + 0.243156i −0.990821 0.135183i \(-0.956838\pi\)
0.925667 + 0.378339i \(0.123505\pi\)
\(224\) 2.20733 + 3.82320i 0.147483 + 0.255449i
\(225\) 14.8418 2.17299i 0.989451 0.144866i
\(226\) 3.97129 0.264166
\(227\) 8.67677 2.32493i 0.575898 0.154311i 0.0408976 0.999163i \(-0.486978\pi\)
0.535000 + 0.844852i \(0.320312\pi\)
\(228\) −2.68730 1.53452i −0.177971 0.101626i
\(229\) 15.7837i 1.04302i 0.853245 + 0.521510i \(0.174631\pi\)
−0.853245 + 0.521510i \(0.825369\pi\)
\(230\) −15.5303 + 10.4329i −1.02404 + 0.687928i
\(231\) −7.04768 1.85255i −0.463703 0.121889i
\(232\) 9.44472 + 2.53070i 0.620076 + 0.166149i
\(233\) 8.90583 8.90583i 0.583440 0.583440i −0.352407 0.935847i \(-0.614637\pi\)
0.935847 + 0.352407i \(0.114637\pi\)
\(234\) −10.8026 0.551314i −0.706188 0.0360405i
\(235\) 3.44883 + 10.0776i 0.224977 + 0.657391i
\(236\) 1.85244 1.06950i 0.120583 0.0696188i
\(237\) 4.38435 + 7.51120i 0.284794 + 0.487905i
\(238\) −14.7445 + 3.95077i −0.955743 + 0.256091i
\(239\) −13.0202 −0.842209 −0.421104 0.907012i \(-0.638357\pi\)
−0.421104 + 0.907012i \(0.638357\pi\)
\(240\) 2.17497 + 3.20461i 0.140394 + 0.206857i
\(241\) 1.64758 2.85369i 0.106130 0.183822i −0.808069 0.589087i \(-0.799487\pi\)
0.914199 + 0.405265i \(0.132821\pi\)
\(242\) 7.13596 + 7.13596i 0.458717 + 0.458717i
\(243\) −13.6815 7.47111i −0.877667 0.479272i
\(244\) 3.22701 1.86312i 0.206588 0.119274i
\(245\) −27.8622 + 1.89571i −1.78005 + 0.121113i
\(246\) −3.75308 3.71756i −0.239288 0.237023i
\(247\) 6.31178 1.28800i 0.401609 0.0819533i
\(248\) 4.82396 4.82396i 0.306322 0.306322i
\(249\) 0.329363 1.25300i 0.0208726 0.0794058i
\(250\) 11.1615 + 0.648063i 0.705918 + 0.0409871i
\(251\) −13.0422 7.52991i −0.823216 0.475284i 0.0283083 0.999599i \(-0.490988\pi\)
−0.851524 + 0.524315i \(0.824321\pi\)
\(252\) −9.45353 9.27542i −0.595516 0.584296i
\(253\) 7.70217 2.06379i 0.484231 0.129749i
\(254\) 3.80992 6.59897i 0.239056 0.414056i
\(255\) −12.6495 + 4.39630i −0.792142 + 0.275307i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −2.15454 + 8.04084i −0.134396 + 0.501574i 0.865603 + 0.500730i \(0.166935\pi\)
−1.00000 0.000843410i \(0.999732\pi\)
\(258\) −8.21951 14.0816i −0.511724 0.876679i
\(259\) 30.5008i 1.89523i
\(260\) −7.80284 2.02872i −0.483912 0.125816i
\(261\) −29.3324 + 0.278947i −1.81563 + 0.0172664i
\(262\) 21.3499 + 5.72070i 1.31900 + 0.353426i
\(263\) 0.135419 + 0.0362854i 0.00835028 + 0.00223745i 0.262992 0.964798i \(-0.415291\pi\)
−0.254641 + 0.967036i \(0.581957\pi\)
\(264\) −0.434798 1.59236i −0.0267600 0.0980033i
\(265\) 8.45451 2.89336i 0.519356 0.177738i
\(266\) 6.83072 + 3.94372i 0.418818 + 0.241805i
\(267\) 4.22098 + 2.41029i 0.258319 + 0.147508i
\(268\) −9.88846 9.88846i −0.604034 0.604034i
\(269\) −3.92128 + 6.79185i −0.239085 + 0.414107i −0.960452 0.278446i \(-0.910181\pi\)
0.721367 + 0.692553i \(0.243514\pi\)
\(270\) −8.86267 7.51353i −0.539365 0.457259i
\(271\) 0.513464 + 0.889345i 0.0311907 + 0.0540239i 0.881199 0.472745i \(-0.156737\pi\)
−0.850009 + 0.526769i \(0.823403\pi\)
\(272\) −2.44497 2.44497i −0.148248 0.148248i
\(273\) 27.5267 + 1.53609i 1.66599 + 0.0929684i
\(274\) 2.45024i 0.148025i
\(275\) −4.41133 1.80161i −0.266013 0.108641i
\(276\) 14.0160 + 3.68425i 0.843666 + 0.221766i
\(277\) −8.04688 30.0314i −0.483490 1.80441i −0.586765 0.809757i \(-0.699599\pi\)
0.103275 0.994653i \(-0.467068\pi\)
\(278\) −10.1767 + 10.1767i −0.610355 + 0.610355i
\(279\) −10.0642 + 17.8209i −0.602525 + 1.06691i
\(280\) −5.50467 8.19418i −0.328967 0.489696i
\(281\) 12.8591i 0.767112i 0.923518 + 0.383556i \(0.125301\pi\)
−0.923518 + 0.383556i \(0.874699\pi\)
\(282\) 4.09126 7.16472i 0.243631 0.426653i
\(283\) −3.85039 + 14.3699i −0.228882 + 0.854199i 0.751930 + 0.659243i \(0.229123\pi\)
−0.980812 + 0.194956i \(0.937544\pi\)
\(284\) 2.88194 + 4.99166i 0.171011 + 0.296200i
\(285\) 6.22805 + 3.01548i 0.368918 + 0.178622i
\(286\) 2.86644 + 1.89484i 0.169496 + 0.112044i
\(287\) 9.52070 + 9.52070i 0.561989 + 0.561989i
\(288\) 0.748866 2.90503i 0.0441273 0.171181i
\(289\) −4.36841 + 2.52210i −0.256965 + 0.148359i
\(290\) −21.4545 4.21218i −1.25985 0.247347i
\(291\) 9.09099 + 9.00495i 0.532923 + 0.527879i
\(292\) 1.41129 + 5.26699i 0.0825893 + 0.308227i
\(293\) −2.80896 10.4832i −0.164101 0.612434i −0.998153 0.0607479i \(-0.980651\pi\)
0.834052 0.551686i \(-0.186015\pi\)
\(294\) 15.3686 + 15.2232i 0.896316 + 0.887832i
\(295\) −3.97028 + 2.66715i −0.231159 + 0.155287i
\(296\) 5.98336 3.45450i 0.347776 0.200788i
\(297\) 2.53691 + 4.25278i 0.147206 + 0.246772i
\(298\) −3.43250 3.43250i −0.198839 0.198839i
\(299\) −26.9903 + 13.4766i −1.56089 + 0.779374i
\(300\) −5.33858 6.81906i −0.308223 0.393698i
\(301\) 20.7790 + 35.9903i 1.19768 + 2.07445i
\(302\) −4.21057 + 15.7141i −0.242291 + 0.904242i
\(303\) 1.65504 2.89835i 0.0950793 0.166506i
\(304\) 1.78665i 0.102471i
\(305\) −6.91638 + 4.64627i −0.396031 + 0.266045i
\(306\) 9.03232 + 5.10091i 0.516344 + 0.291600i
\(307\) −2.77335 + 2.77335i −0.158283 + 0.158283i −0.781806 0.623522i \(-0.785701\pi\)
0.623522 + 0.781806i \(0.285701\pi\)
\(308\) 1.08890 + 4.06385i 0.0620461 + 0.231559i
\(309\) 11.6446 + 3.06089i 0.662438 + 0.174128i
\(310\) −10.0296 + 11.4940i −0.569643 + 0.652818i
\(311\) 3.21754i 0.182450i −0.995830 0.0912249i \(-0.970922\pi\)
0.995830 0.0912249i \(-0.0290782\pi\)
\(312\) 2.81631 + 5.57390i 0.159442 + 0.315560i
\(313\) −9.33105 9.33105i −0.527422 0.527422i 0.392381 0.919803i \(-0.371652\pi\)
−0.919803 + 0.392381i \(0.871652\pi\)
\(314\) −1.33226 2.30753i −0.0751835 0.130222i
\(315\) 22.4979 + 19.2577i 1.26761 + 1.08505i
\(316\) 2.51066 4.34858i 0.141235 0.244627i
\(317\) 22.4314 + 22.4314i 1.25987 + 1.25987i 0.951153 + 0.308721i \(0.0999010\pi\)
0.308721 + 0.951153i \(0.400099\pi\)
\(318\) −6.01077 3.43232i −0.337067 0.192475i
\(319\) 8.06998 + 4.65921i 0.451832 + 0.260866i
\(320\) 0.984002 2.00792i 0.0550074 0.112246i
\(321\) 1.32559 + 4.85471i 0.0739871 + 0.270963i
\(322\) −35.6790 9.56017i −1.98831 0.532767i
\(323\) −5.96722 1.59891i −0.332025 0.0889659i
\(324\) 0.171162 + 8.99837i 0.00950902 + 0.499910i
\(325\) 17.7154 + 3.34151i 0.982672 + 0.185354i
\(326\) 15.8162i 0.875980i
\(327\) −8.43993 14.4592i −0.466729 0.799595i
\(328\) −0.789375 + 2.94599i −0.0435859 + 0.162665i
\(329\) −10.5145 + 18.2117i −0.579684 + 1.00404i
\(330\) 1.21170 + 3.48643i 0.0667018 + 0.191921i
\(331\) 10.6052 18.3687i 0.582912 1.00963i −0.412220 0.911084i \(-0.635247\pi\)
0.995132 0.0985487i \(-0.0314200\pi\)
\(332\) −0.722509 + 0.193596i −0.0396528 + 0.0106249i
\(333\) −14.5161 + 14.7949i −0.795480 + 0.810755i
\(334\) 10.1879 + 5.88198i 0.557457 + 0.321848i
\(335\) 23.5612 + 20.5593i 1.28729 + 1.12327i
\(336\) −1.94390 + 7.39519i −0.106048 + 0.403441i
\(337\) −13.0004 + 13.0004i −0.708174 + 0.708174i −0.966151 0.257977i \(-0.916944\pi\)
0.257977 + 0.966151i \(0.416944\pi\)
\(338\) −12.0591 4.85576i −0.655928 0.264118i
\(339\) 4.88689 + 4.84064i 0.265420 + 0.262907i
\(340\) 5.82564 + 5.08340i 0.315939 + 0.275686i
\(341\) 5.63049 3.25076i 0.304908 0.176039i
\(342\) −1.43643 5.16388i −0.0776731 0.279231i
\(343\) −17.1352 17.1352i −0.925214 0.925214i
\(344\) −4.70683 + 8.15246i −0.253775 + 0.439551i
\(345\) −31.8277 6.09175i −1.71355 0.327969i
\(346\) −4.05708 −0.218110
\(347\) 26.3854 7.06994i 1.41644 0.379534i 0.532222 0.846605i \(-0.321357\pi\)
0.884220 + 0.467071i \(0.154691\pi\)
\(348\) 8.53755 + 14.6264i 0.457660 + 0.784058i
\(349\) 1.00584 0.580720i 0.0538412 0.0310852i −0.472838 0.881150i \(-0.656770\pi\)
0.526679 + 0.850064i \(0.323437\pi\)
\(350\) 13.5242 + 17.4449i 0.722899 + 0.932471i
\(351\) −12.6212 13.8458i −0.673669 0.739033i
\(352\) −0.673879 + 0.673879i −0.0359179 + 0.0359179i
\(353\) 10.0427 + 2.69094i 0.534521 + 0.143224i 0.515975 0.856604i \(-0.327430\pi\)
0.0185456 + 0.999828i \(0.494096\pi\)
\(354\) 3.58315 + 0.941865i 0.190442 + 0.0500595i
\(355\) −7.18701 10.6985i −0.381447 0.567817i
\(356\) 2.80631i 0.148734i
\(357\) −22.9595 13.1105i −1.21515 0.693883i
\(358\) 10.4087 2.78901i 0.550118 0.147404i
\(359\) 6.56646 0.346565 0.173282 0.984872i \(-0.444563\pi\)
0.173282 + 0.984872i \(0.444563\pi\)
\(360\) −1.22970 + 6.59453i −0.0648110 + 0.347562i
\(361\) −7.90394 13.6900i −0.415997 0.720528i
\(362\) 1.62494 6.06435i 0.0854048 0.318735i
\(363\) 0.0831110 + 17.4793i 0.00436220 + 0.917424i
\(364\) −7.11059 14.2407i −0.372696 0.746418i
\(365\) −3.94792 11.5360i −0.206644 0.603820i
\(366\) 6.24199 + 1.64076i 0.326274 + 0.0857642i
\(367\) 2.64871 + 0.709720i 0.138262 + 0.0370471i 0.327286 0.944925i \(-0.393866\pi\)
−0.189025 + 0.981972i \(0.560533\pi\)
\(368\) −2.16555 8.08195i −0.112887 0.421301i
\(369\) −0.0870089 9.14932i −0.00452950 0.476295i
\(370\) −12.8240 + 8.61487i −0.666687 + 0.447866i
\(371\) 15.2785 + 8.82104i 0.793220 + 0.457966i
\(372\) 11.8161 0.0561836i 0.612637 0.00291298i
\(373\) −12.6386 + 3.38650i −0.654402 + 0.175347i −0.570718 0.821146i \(-0.693335\pi\)
−0.0836837 + 0.996492i \(0.526669\pi\)
\(374\) −1.64762 2.85375i −0.0851962 0.147564i
\(375\) 12.9450 + 14.4024i 0.668475 + 0.743735i
\(376\) −4.76346 −0.245657
\(377\) −33.4394 11.1669i −1.72222 0.575124i
\(378\) −0.327203 22.9369i −0.0168295 1.17975i
\(379\) −27.0729 + 15.6306i −1.39064 + 0.802888i −0.993386 0.114819i \(-0.963371\pi\)
−0.397257 + 0.917707i \(0.630038\pi\)
\(380\) −0.271193 3.98585i −0.0139119 0.204470i
\(381\) 12.7319 3.47646i 0.652272 0.178104i
\(382\) −6.20408 + 6.20408i −0.317429 + 0.317429i
\(383\) 8.23494 + 30.7332i 0.420786 + 1.57039i 0.772957 + 0.634459i \(0.218777\pi\)
−0.352171 + 0.935936i \(0.614556\pi\)
\(384\) −1.67088 + 0.456238i −0.0852668 + 0.0232823i
\(385\) −3.04609 8.90079i −0.155243 0.453626i
\(386\) −6.96161 4.01929i −0.354337 0.204576i
\(387\) 7.04956 27.3469i 0.358349 1.39012i
\(388\) 1.91208 7.13599i 0.0970713 0.362275i
\(389\) 1.18528 0.0600960 0.0300480 0.999548i \(-0.490434\pi\)
0.0300480 + 0.999548i \(0.490434\pi\)
\(390\) −7.12899 12.0074i −0.360991 0.608018i
\(391\) 28.9309 1.46310
\(392\) 3.23244 12.0636i 0.163263 0.609305i
\(393\) 19.2992 + 33.0632i 0.973518 + 1.66782i
\(394\) −17.1203 9.88440i −0.862507 0.497969i
\(395\) −4.94098 + 10.0824i −0.248608 + 0.507300i
\(396\) 1.40590 2.48947i 0.0706493 0.125101i
\(397\) −1.77108 6.60977i −0.0888880 0.331735i 0.907134 0.420842i \(-0.138265\pi\)
−0.996022 + 0.0891072i \(0.971599\pi\)
\(398\) 10.7994 10.7994i 0.541325 0.541325i
\(399\) 3.59854 + 13.1790i 0.180153 + 0.659774i
\(400\) −1.89044 + 4.62885i −0.0945221 + 0.231442i
\(401\) 15.6065 9.01040i 0.779350 0.449958i −0.0568499 0.998383i \(-0.518106\pi\)
0.836200 + 0.548425i \(0.184772\pi\)
\(402\) −0.115169 24.2214i −0.00574409 1.20805i
\(403\) −18.4129 + 16.3096i −0.917210 + 0.812437i
\(404\) −1.92696 −0.0958700
\(405\) −1.74770 20.0486i −0.0868438 0.996222i
\(406\) −21.5830 37.3829i −1.07115 1.85528i
\(407\) 6.35997 1.70415i 0.315252 0.0844715i
\(408\) −0.0284761 5.98887i −0.00140978 0.296493i
\(409\) 4.77164 + 2.75491i 0.235943 + 0.136222i 0.613310 0.789842i \(-0.289837\pi\)
−0.377368 + 0.926063i \(0.623171\pi\)
\(410\) 1.31386 6.69205i 0.0648868 0.330497i
\(411\) 2.98662 3.01516i 0.147319 0.148727i
\(412\) −1.79915 6.71453i −0.0886379 0.330801i
\(413\) −9.12122 2.44402i −0.448826 0.120263i
\(414\) 12.7567 + 21.6179i 0.626959 + 1.06246i
\(415\) 1.58247 0.541563i 0.0776802 0.0265843i
\(416\) 1.98828 3.00778i 0.0974832 0.147469i
\(417\) −24.9273 + 0.118525i −1.22070 + 0.00580421i
\(418\) −0.440689 + 1.64467i −0.0215548 + 0.0804436i
\(419\) 10.8963 + 18.8729i 0.532319 + 0.922003i 0.999288 + 0.0377297i \(0.0120126\pi\)
−0.466969 + 0.884274i \(0.654654\pi\)
\(420\) 3.21415 16.7931i 0.156835 0.819417i
\(421\) −7.06034 −0.344100 −0.172050 0.985088i \(-0.555039\pi\)
−0.172050 + 0.985088i \(0.555039\pi\)
\(422\) −5.97438 + 1.60083i −0.290828 + 0.0779272i
\(423\) 13.7676 3.82972i 0.669406 0.186207i
\(424\) 3.99626i 0.194075i
\(425\) −13.7681 10.4563i −0.667850 0.507207i
\(426\) −2.53799 + 9.65532i −0.122966 + 0.467802i
\(427\) −15.8895 4.25758i −0.768948 0.206039i
\(428\) 2.05448 2.05448i 0.0993071 0.0993071i
\(429\) 1.21768 + 5.82564i 0.0587899 + 0.281264i
\(430\) 9.26306 18.9019i 0.446704 0.911528i
\(431\) −3.61799 + 2.08885i −0.174273 + 0.100616i −0.584599 0.811322i \(-0.698748\pi\)
0.410326 + 0.911939i \(0.365415\pi\)
\(432\) 4.46248 2.66200i 0.214701 0.128076i
\(433\) 21.5187 5.76593i 1.03412 0.277093i 0.298448 0.954426i \(-0.403531\pi\)
0.735676 + 0.677333i \(0.236864\pi\)
\(434\) −30.1173 −1.44567
\(435\) −21.2666 31.3343i −1.01966 1.50237i
\(436\) −4.83305 + 8.37109i −0.231461 + 0.400902i
\(437\) −10.5705 10.5705i −0.505657 0.505657i
\(438\) −4.68331 + 8.20155i −0.223777 + 0.391885i
\(439\) 6.75510 3.90006i 0.322403 0.186140i −0.330060 0.943960i \(-0.607069\pi\)
0.652463 + 0.757820i \(0.273736\pi\)
\(440\) 1.40108 1.60565i 0.0667937 0.0765464i
\(441\) 0.356296 + 37.4658i 0.0169665 + 1.78409i
\(442\) 8.26633 + 9.33237i 0.393189 + 0.443895i
\(443\) −17.8260 + 17.8260i −0.846941 + 0.846941i −0.989750 0.142810i \(-0.954386\pi\)
0.142810 + 0.989750i \(0.454386\pi\)
\(444\) 11.5736 + 3.04222i 0.549257 + 0.144377i
\(445\) 0.425966 + 6.26063i 0.0201927 + 0.296782i
\(446\) 3.25555 + 1.87959i 0.154155 + 0.0890012i
\(447\) −0.0399775 8.40777i −0.00189087 0.397674i
\(448\) 4.26423 1.14260i 0.201466 0.0539826i
\(449\) 3.92730 6.80229i 0.185341 0.321020i −0.758350 0.651847i \(-0.773994\pi\)
0.943691 + 0.330827i \(0.107328\pi\)
\(450\) 1.74238 14.8985i 0.0821366 0.702320i
\(451\) −1.45330 + 2.51718i −0.0684330 + 0.118529i
\(452\) 1.02785 3.83597i 0.0483458 0.180429i
\(453\) −24.3353 + 14.2047i −1.14337 + 0.667395i
\(454\) 8.98286i 0.421586i
\(455\) 18.0247 + 30.6905i 0.845010 + 1.43879i
\(456\) −2.17776 + 2.19857i −0.101983 + 0.102957i
\(457\) 26.0290 + 6.97446i 1.21759 + 0.326251i 0.809734 0.586796i \(-0.199611\pi\)
0.407852 + 0.913048i \(0.366278\pi\)
\(458\) 15.2459 + 4.08513i 0.712395 + 0.190886i
\(459\) 4.89723 + 17.2865i 0.228583 + 0.806866i
\(460\) 6.05790 + 17.7014i 0.282451 + 0.825332i
\(461\) −2.96932 1.71434i −0.138295 0.0798446i 0.429256 0.903183i \(-0.358776\pi\)
−0.567551 + 0.823338i \(0.692109\pi\)
\(462\) −3.61350 + 6.32806i −0.168115 + 0.294408i
\(463\) −5.13341 5.13341i −0.238570 0.238570i 0.577688 0.816258i \(-0.303955\pi\)
−0.816258 + 0.577688i \(0.803955\pi\)
\(464\) 4.88895 8.46790i 0.226964 0.393113i
\(465\) −26.3521 + 1.91889i −1.22205 + 0.0889864i
\(466\) −6.29737 10.9074i −0.291720 0.505274i
\(467\) 13.5078 + 13.5078i 0.625068 + 0.625068i 0.946823 0.321755i \(-0.104273\pi\)
−0.321755 + 0.946823i \(0.604273\pi\)
\(468\) −3.32845 + 10.2918i −0.153857 + 0.475739i
\(469\) 61.7363i 2.85072i
\(470\) 10.6268 0.723038i 0.490180 0.0333513i
\(471\) 1.17326 4.46344i 0.0540609 0.205665i
\(472\) −0.553616 2.06612i −0.0254822 0.0951010i
\(473\) −6.34366 + 6.34366i −0.291682 + 0.291682i
\(474\) 8.39002 2.29091i 0.385366 0.105225i
\(475\) 1.21001 + 8.85091i 0.0555192 + 0.406108i
\(476\) 15.2646i 0.699653i
\(477\) −3.21290 11.5502i −0.147109 0.528849i
\(478\) −3.36988 + 12.5766i −0.154135 + 0.575239i
\(479\) −6.77236 11.7301i −0.309437 0.535961i 0.668802 0.743440i \(-0.266807\pi\)
−0.978239 + 0.207480i \(0.933474\pi\)
\(480\) 3.65834 1.27145i 0.166979 0.0580333i
\(481\) −22.2869 + 11.1282i −1.01620 + 0.507401i
\(482\) −2.33002 2.33002i −0.106130 0.106130i
\(483\) −32.2520 55.2537i −1.46752 2.51413i
\(484\) 8.73973 5.04589i 0.397261 0.229359i
\(485\) −3.18252 + 16.2100i −0.144511 + 0.736057i
\(486\) −10.7576 + 11.2816i −0.487973 + 0.511745i
\(487\) 7.77342 + 29.0108i 0.352247 + 1.31460i 0.883913 + 0.467650i \(0.154899\pi\)
−0.531666 + 0.846954i \(0.678434\pi\)
\(488\) −0.964421 3.59927i −0.0436573 0.162931i
\(489\) 19.2785 19.4627i 0.871805 0.880135i
\(490\) −5.38016 + 27.4035i −0.243051 + 1.23796i
\(491\) 0.281170 0.162334i 0.0126890 0.00732601i −0.493642 0.869665i \(-0.664335\pi\)
0.506331 + 0.862339i \(0.331001\pi\)
\(492\) −4.56226 + 2.66302i −0.205682 + 0.120058i
\(493\) 23.9067 + 23.9067i 1.07670 + 1.07670i
\(494\) 0.389499 6.43007i 0.0175244 0.289302i
\(495\) −2.75857 + 5.76719i −0.123988 + 0.259216i
\(496\) −3.41105 5.90812i −0.153161 0.265282i
\(497\) 6.58578 24.5785i 0.295413 1.10249i
\(498\) −1.12506 0.642441i −0.0504152 0.0287885i
\(499\) 6.59704i 0.295324i −0.989038 0.147662i \(-0.952825\pi\)
0.989038 0.147662i \(-0.0471748\pi\)
\(500\) 3.51480 10.6135i 0.157187 0.474650i
\(501\) 5.36716 + 19.6562i 0.239787 + 0.878174i
\(502\) −10.6489 + 10.6489i −0.475284 + 0.475284i
\(503\) −10.6595 39.7817i −0.475283 1.77378i −0.620316 0.784352i \(-0.712996\pi\)
0.145033 0.989427i \(-0.453671\pi\)
\(504\) −11.4061 + 6.73075i −0.508069 + 0.299812i
\(505\) 4.29888 0.292491i 0.191298 0.0130157i
\(506\) 7.97387i 0.354482i
\(507\) −8.92064 20.6742i −0.396180 0.918173i
\(508\) −5.38804 5.38804i −0.239056 0.239056i
\(509\) 8.76469 + 15.1809i 0.388488 + 0.672881i 0.992246 0.124286i \(-0.0396641\pi\)
−0.603758 + 0.797167i \(0.706331\pi\)
\(510\) 0.972569 + 13.3563i 0.0430661 + 0.591427i
\(511\) 12.0361 20.8471i 0.532445 0.922223i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 4.52670 8.10531i 0.199859 0.357858i
\(514\) 7.20922 + 4.16224i 0.317985 + 0.183589i
\(515\) 5.03294 + 14.7064i 0.221778 + 0.648042i
\(516\) −15.7291 + 4.29486i −0.692435 + 0.189071i
\(517\) −4.38493 1.17494i −0.192849 0.0516738i
\(518\) −29.4615 7.89419i −1.29446 0.346851i
\(519\) −4.99245 4.94520i −0.219144 0.217070i
\(520\) −3.97912 + 7.01189i −0.174496 + 0.307492i
\(521\) 23.9936i 1.05118i −0.850738 0.525589i \(-0.823845\pi\)
0.850738 0.525589i \(-0.176155\pi\)
\(522\) −7.32233 + 28.4051i −0.320490 + 1.24326i
\(523\) 8.41970 31.4228i 0.368168 1.37402i −0.494907 0.868946i \(-0.664798\pi\)
0.863075 0.505075i \(-0.168535\pi\)
\(524\) 11.0515 19.1418i 0.482789 0.836214i
\(525\) −4.62149 + 37.9517i −0.201698 + 1.65635i
\(526\) 0.0700979 0.121413i 0.00305642 0.00529387i
\(527\) 22.7851 6.10526i 0.992536 0.265949i
\(528\) −1.65064 + 0.00784852i −0.0718349 + 0.000341563i
\(529\) 40.7097 + 23.5038i 1.76999 + 1.02190i
\(530\) −0.606586 8.91529i −0.0263484 0.387255i
\(531\) 3.26121 + 5.52654i 0.141525 + 0.239832i
\(532\) 5.57726 5.57726i 0.241805 0.241805i
\(533\) 3.48317 10.4304i 0.150873 0.451790i
\(534\) 3.42063 3.45332i 0.148025 0.149440i
\(535\) −4.27152 + 4.89521i −0.184674 + 0.211638i
\(536\) −12.1108 + 6.99220i −0.523108 + 0.302017i
\(537\) 16.2081 + 9.25525i 0.699429 + 0.399393i
\(538\) 5.54552 + 5.54552i 0.239085 + 0.239085i
\(539\) 5.95115 10.3077i 0.256334 0.443984i
\(540\) −9.55134 + 6.61604i −0.411024 + 0.284709i
\(541\) 7.10909 0.305644 0.152822 0.988254i \(-0.451164\pi\)
0.152822 + 0.988254i \(0.451164\pi\)
\(542\) 0.991936 0.265788i 0.0426073 0.0114166i
\(543\) 9.39146 5.48186i 0.403026 0.235249i
\(544\) −2.99447 + 1.72886i −0.128387 + 0.0741242i
\(545\) 9.51146 19.4087i 0.407426 0.831379i
\(546\) 8.60818 26.1912i 0.368396 1.12088i
\(547\) 24.3663 24.3663i 1.04183 1.04183i 0.0427396 0.999086i \(-0.486391\pi\)
0.999086 0.0427396i \(-0.0136086\pi\)
\(548\) −2.36675 0.634169i −0.101103 0.0270904i
\(549\) 5.68116 + 9.62745i 0.242466 + 0.410890i
\(550\) −2.88196 + 3.79473i −0.122887 + 0.161808i
\(551\) 17.4697i 0.744232i
\(552\) 7.18632 12.5849i 0.305870 0.535648i
\(553\) −21.4120 + 5.73733i −0.910532 + 0.243976i
\(554\) −31.0908 −1.32092
\(555\) −26.2814 5.03019i −1.11558 0.213520i
\(556\) 7.19598 + 12.4638i 0.305177 + 0.528583i
\(557\) −7.18238 + 26.8050i −0.304327 + 1.13577i 0.629195 + 0.777247i \(0.283385\pi\)
−0.933523 + 0.358518i \(0.883282\pi\)
\(558\) 14.6088 + 14.3336i 0.618442 + 0.606790i
\(559\) 18.7169 28.3142i 0.791642 1.19756i
\(560\) −9.33968 + 3.19629i −0.394673 + 0.135068i
\(561\) 1.45098 5.51999i 0.0612605 0.233054i
\(562\) 12.4210 + 3.32819i 0.523947 + 0.140391i
\(563\) 1.60491 + 5.98962i 0.0676390 + 0.252432i 0.991464 0.130384i \(-0.0416210\pi\)
−0.923825 + 0.382816i \(0.874954\pi\)
\(564\) −5.86170 5.80622i −0.246822 0.244486i
\(565\) −1.71078 + 8.71373i −0.0719729 + 0.366589i
\(566\) 12.8837 + 7.43838i 0.541540 + 0.312659i
\(567\) 27.5553 28.6239i 1.15721 1.20209i
\(568\) 5.56747 1.49180i 0.233606 0.0625945i
\(569\) 16.5135 + 28.6022i 0.692280 + 1.19906i 0.971089 + 0.238718i \(0.0767272\pi\)
−0.278808 + 0.960347i \(0.589939\pi\)
\(570\) 4.52467 5.23537i 0.189518 0.219285i
\(571\) −29.0119 −1.21411 −0.607056 0.794659i \(-0.707650\pi\)
−0.607056 + 0.794659i \(0.707650\pi\)
\(572\) 2.57217 2.27835i 0.107548 0.0952626i
\(573\) −15.1967 + 0.0722576i −0.634850 + 0.00301861i
\(574\) 11.6604 6.73215i 0.486697 0.280995i
\(575\) −16.2015 38.5707i −0.675649 1.60851i
\(576\) −2.61222 1.47523i −0.108843 0.0614677i
\(577\) 30.0883 30.0883i 1.25259 1.25259i 0.298037 0.954554i \(-0.403668\pi\)
0.954554 0.298037i \(-0.0963319\pi\)
\(578\) 1.30554 + 4.87233i 0.0543031 + 0.202662i
\(579\) −3.66750 13.4315i −0.152416 0.558195i
\(580\) −9.62147 + 19.6332i −0.399510 + 0.815225i
\(581\) 2.85974 + 1.65107i 0.118642 + 0.0684980i
\(582\) 11.0510 6.45057i 0.458080 0.267385i
\(583\) −0.985703 + 3.67869i −0.0408237 + 0.152356i
\(584\) 5.45279 0.225638
\(585\) 5.86328 23.4653i 0.242417 0.970172i
\(586\) −10.8530 −0.448333
\(587\) −1.06155 + 3.96176i −0.0438148 + 0.163519i −0.984367 0.176131i \(-0.943642\pi\)
0.940552 + 0.339650i \(0.110309\pi\)
\(588\) 18.6821 10.9049i 0.770438 0.449710i
\(589\) −10.5557 6.09436i −0.434941 0.251114i
\(590\) 1.54868 + 4.52530i 0.0637582 + 0.186304i
\(591\) −9.01927 33.0313i −0.371003 1.35873i
\(592\) −1.78818 6.67357i −0.0734937 0.274282i
\(593\) 2.31460 2.31460i 0.0950491 0.0950491i −0.657983 0.753032i \(-0.728590\pi\)
0.753032 + 0.657983i \(0.228590\pi\)
\(594\) 4.76447 1.34976i 0.195489 0.0553815i
\(595\) −2.31699 34.0540i −0.0949875 1.39608i
\(596\) −4.20393 + 2.42714i −0.172200 + 0.0994196i
\(597\) 26.4527 0.125778i 1.08264 0.00514776i
\(598\) 6.03182 + 29.5587i 0.246659 + 1.20874i
\(599\) 2.95273 0.120645 0.0603226 0.998179i \(-0.480787\pi\)
0.0603226 + 0.998179i \(0.480787\pi\)
\(600\) −7.96843 + 3.39177i −0.325310 + 0.138469i
\(601\) −22.1321 38.3340i −0.902789 1.56368i −0.823858 0.566796i \(-0.808183\pi\)
−0.0789311 0.996880i \(-0.525151\pi\)
\(602\) 40.1420 10.7560i 1.63606 0.438382i
\(603\) 29.3819 29.9461i 1.19652 1.21950i
\(604\) 14.0888 + 8.13419i 0.573267 + 0.330976i
\(605\) −18.7317 + 12.5835i −0.761550 + 0.511593i
\(606\) −2.37123 2.34879i −0.0963247 0.0954130i
\(607\) −4.38820 16.3770i −0.178112 0.664722i −0.996001 0.0893457i \(-0.971522\pi\)
0.817889 0.575376i \(-0.195144\pi\)
\(608\) 1.72577 + 0.462419i 0.0699892 + 0.0187536i
\(609\) 19.0072 72.3094i 0.770211 2.93012i
\(610\) 2.69786 + 7.88325i 0.109233 + 0.319184i
\(611\) 17.1435 + 1.03846i 0.693551 + 0.0420116i
\(612\) 7.26484 7.40434i 0.293664 0.299303i
\(613\) −7.19641 + 26.8574i −0.290660 + 1.08476i 0.653943 + 0.756544i \(0.273114\pi\)
−0.944603 + 0.328215i \(0.893553\pi\)
\(614\) 1.96105 + 3.39665i 0.0791417 + 0.137077i
\(615\) 9.77377 6.63346i 0.394116 0.267487i
\(616\) 4.20720 0.169513
\(617\) −11.2681 + 3.01928i −0.453636 + 0.121551i −0.478400 0.878142i \(-0.658783\pi\)
0.0247640 + 0.999693i \(0.492117\pi\)
\(618\) 5.97044 10.4556i 0.240166 0.420586i
\(619\) 23.1085i 0.928809i 0.885623 + 0.464404i \(0.153732\pi\)
−0.885623 + 0.464404i \(0.846268\pi\)
\(620\) 8.50654 + 12.6627i 0.341631 + 0.508547i
\(621\) −10.6524 + 42.1513i −0.427465 + 1.69147i
\(622\) −3.10790 0.832760i −0.124616 0.0333906i
\(623\) −8.76027 + 8.76027i −0.350973 + 0.350973i
\(624\) 6.11289 1.27772i 0.244711 0.0511496i
\(625\) −6.23020 + 24.2113i −0.249208 + 0.968450i
\(626\) −11.4282 + 6.59805i −0.456761 + 0.263711i
\(627\) −2.54700 + 1.48670i −0.101717 + 0.0593731i
\(628\) −2.57372 + 0.689626i −0.102703 + 0.0275191i
\(629\) 23.8893 0.952530
\(630\) 24.4244 16.7470i 0.973091 0.667217i
\(631\) 24.2019 41.9189i 0.963463 1.66877i 0.249772 0.968305i \(-0.419644\pi\)
0.713690 0.700462i \(-0.247022\pi\)
\(632\) −3.55060 3.55060i −0.141235 0.141235i
\(633\) −9.30306 5.31231i −0.369763 0.211145i
\(634\) 27.4728 15.8614i 1.09108 0.629937i
\(635\) 12.8381 + 11.2024i 0.509463 + 0.444553i
\(636\) −4.87107 + 4.91761i −0.193150 + 0.194996i
\(637\) −14.2633 + 42.7117i −0.565134 + 1.69230i
\(638\) 6.58911 6.58911i 0.260866 0.260866i
\(639\) −14.8921 + 8.78782i −0.589122 + 0.347641i
\(640\) −1.68482 1.47016i −0.0665985 0.0581132i
\(641\) 35.3939 + 20.4347i 1.39798 + 0.807122i 0.994181 0.107726i \(-0.0343571\pi\)
0.403796 + 0.914849i \(0.367690\pi\)
\(642\) 5.03238 0.0239281i 0.198612 0.000944367i
\(643\) −31.1138 + 8.33691i −1.22701 + 0.328775i −0.813413 0.581686i \(-0.802393\pi\)
−0.413593 + 0.910462i \(0.635727\pi\)
\(644\) −18.4688 + 31.9889i −0.727774 + 1.26054i
\(645\) 34.4383 11.9689i 1.35601 0.471277i
\(646\) −3.08886 + 5.35006i −0.121530 + 0.210495i
\(647\) 11.2494 41.9835i 0.442261 1.65054i −0.280807 0.959764i \(-0.590602\pi\)
0.723068 0.690777i \(-0.242731\pi\)
\(648\) 8.73606 + 2.16362i 0.343185 + 0.0849950i
\(649\) 2.03849i 0.0800178i
\(650\) 7.81273 16.2469i 0.306440 0.637255i
\(651\) −37.0609 36.7102i −1.45253 1.43878i
\(652\) −15.2773 4.09354i −0.598306 0.160315i
\(653\) −28.7633 7.70710i −1.12559 0.301602i −0.352449 0.935831i \(-0.614651\pi\)
−0.773145 + 0.634229i \(0.781318\pi\)
\(654\) −16.1509 + 4.41004i −0.631551 + 0.172446i
\(655\) −21.7495 + 44.3812i −0.849822 + 1.73412i
\(656\) 2.64130 + 1.52496i 0.103125 + 0.0595395i
\(657\) −15.7600 + 4.38392i −0.614856 + 0.171033i
\(658\) 14.8698 + 14.8698i 0.579684 + 0.579684i
\(659\) −1.31198 + 2.27241i −0.0511073 + 0.0885205i −0.890447 0.455086i \(-0.849608\pi\)
0.839340 + 0.543607i \(0.182942\pi\)
\(660\) 3.68124 0.268058i 0.143292 0.0104341i
\(661\) 6.78774 + 11.7567i 0.264013 + 0.457283i 0.967304 0.253618i \(-0.0816206\pi\)
−0.703292 + 0.710901i \(0.748287\pi\)
\(662\) −14.9979 14.9979i −0.582912 0.582912i
\(663\) −1.20312 + 21.5599i −0.0467254 + 0.837316i
\(664\) 0.747996i 0.0290279i
\(665\) −11.5958 + 13.2889i −0.449666 + 0.515323i
\(666\) 10.5337 + 17.8507i 0.408173 + 0.691701i
\(667\) 21.1745 + 79.0245i 0.819881 + 3.05984i
\(668\) 8.31838 8.31838i 0.321848 0.321848i
\(669\) 1.71508 + 6.28115i 0.0663088 + 0.242843i
\(670\) 25.9569 17.4372i 1.00280 0.673660i
\(671\) 3.55113i 0.137090i
\(672\) 6.64009 + 3.79167i 0.256147 + 0.146267i
\(673\) 4.58858 17.1248i 0.176877 0.660113i −0.819348 0.573297i \(-0.805664\pi\)
0.996224 0.0868159i \(-0.0276692\pi\)
\(674\) 9.19264 + 15.9221i 0.354087 + 0.613297i
\(675\) 20.3039 16.2096i 0.781499 0.623906i
\(676\) −7.81142 + 10.3914i −0.300439 + 0.399670i
\(677\) 32.2838 + 32.2838i 1.24077 + 1.24077i 0.959682 + 0.281087i \(0.0906948\pi\)
0.281087 + 0.959682i \(0.409305\pi\)
\(678\) 5.94052 3.46753i 0.228144 0.133170i
\(679\) −28.2448 + 16.3071i −1.08393 + 0.625810i
\(680\) 6.41797 4.31145i 0.246118 0.165337i
\(681\) 10.9493 11.0539i 0.419577 0.423586i
\(682\) −1.68272 6.27999i −0.0644347 0.240473i
\(683\) −2.97648 11.1084i −0.113892 0.425050i 0.885310 0.465001i \(-0.153946\pi\)
−0.999202 + 0.0399518i \(0.987280\pi\)
\(684\) −5.35970 + 0.0509701i −0.204933 + 0.00194889i
\(685\) 5.37627 + 1.05553i 0.205417 + 0.0403297i
\(686\) −20.9862 + 12.1164i −0.801259 + 0.462607i
\(687\) 13.7815 + 23.6104i 0.525799 + 0.900791i
\(688\) 6.65646 + 6.65646i 0.253775 + 0.253775i
\(689\) 0.871204 14.3823i 0.0331902 0.547924i
\(690\) −14.1218 + 29.1666i −0.537608 + 1.11035i
\(691\) 2.98020 + 5.16186i 0.113372 + 0.196366i 0.917128 0.398593i \(-0.130501\pi\)
−0.803756 + 0.594960i \(0.797168\pi\)
\(692\) −1.05005 + 3.91883i −0.0399169 + 0.148972i
\(693\) −12.1599 + 3.38250i −0.461917 + 0.128491i
\(694\) 27.3162i 1.03691i
\(695\) −17.9454 26.7134i −0.680710 1.01330i
\(696\) 16.3377 4.46104i 0.619279 0.169095i
\(697\) −7.45695 + 7.45695i −0.282452 + 0.282452i
\(698\) −0.300603 1.12187i −0.0113780 0.0424632i
\(699\) 5.54582 21.0980i 0.209762 0.798001i
\(700\) 20.3508 8.54830i 0.769189 0.323095i
\(701\) 18.4252i 0.695912i −0.937511 0.347956i \(-0.886876\pi\)
0.937511 0.347956i \(-0.113124\pi\)
\(702\) −16.6406 + 8.60757i −0.628059 + 0.324872i
\(703\) −8.72848 8.72848i −0.329201 0.329201i
\(704\) 0.476504 + 0.825330i 0.0179589 + 0.0311058i
\(705\) 13.9582 + 12.0634i 0.525697 + 0.454334i
\(706\) 5.19850 9.00407i 0.195648 0.338872i
\(707\) 6.01527 + 6.01527i 0.226227 + 0.226227i
\(708\) 1.83716 3.21728i 0.0690447 0.120913i
\(709\) −22.1328 12.7784i −0.831216 0.479903i 0.0230525 0.999734i \(-0.492661\pi\)
−0.854269 + 0.519831i \(0.825995\pi\)
\(710\) −12.1941 + 4.17315i −0.457636 + 0.156615i
\(711\) 13.1168 + 7.40757i 0.491918 + 0.277805i
\(712\) −2.71069 0.726327i −0.101587 0.0272202i
\(713\) 55.1360 + 14.7736i 2.06486 + 0.553277i
\(714\) −18.6062 + 18.7839i −0.696318 + 0.702972i
\(715\) −5.39245 + 5.47322i −0.201666 + 0.204687i
\(716\) 10.7759i 0.402715i
\(717\) −19.4765 + 11.3686i −0.727363 + 0.424568i
\(718\) 1.69953 6.34272i 0.0634257 0.236708i
\(719\) 13.2462 22.9431i 0.494000 0.855634i −0.505976 0.862548i \(-0.668867\pi\)
0.999976 + 0.00691392i \(0.00220079\pi\)
\(720\) 6.05156 + 2.89459i 0.225528 + 0.107875i
\(721\) −15.3440 + 26.5766i −0.571441 + 0.989764i
\(722\) −15.2692 + 4.09138i −0.568263 + 0.152265i
\(723\) −0.0271373 5.70731i −0.00100925 0.212257i
\(724\) −5.43715 3.13914i −0.202070 0.116665i
\(725\) 18.4845 45.2604i 0.686499 1.68093i
\(726\) 16.9052 + 4.44369i 0.627410 + 0.164921i
\(727\) −6.01950 + 6.01950i −0.223251 + 0.223251i −0.809866 0.586615i \(-0.800460\pi\)
0.586615 + 0.809866i \(0.300460\pi\)
\(728\) −15.5959 + 3.18253i −0.578021 + 0.117952i
\(729\) −26.9890 + 0.770173i −0.999593 + 0.0285249i
\(730\) −12.1647 + 0.827671i −0.450235 + 0.0306335i
\(731\) −28.1889 + 16.2749i −1.04260 + 0.601948i
\(732\) 3.20040 5.60463i 0.118290 0.207153i
\(733\) −23.3956 23.3956i −0.864138 0.864138i 0.127678 0.991816i \(-0.459248\pi\)
−0.991816 + 0.127678i \(0.959248\pi\)
\(734\) 1.37107 2.37477i 0.0506073 0.0876543i
\(735\) −40.0229 + 27.1636i −1.47627 + 1.00194i
\(736\) −8.36705 −0.308414
\(737\) −12.8731 + 3.44934i −0.474188 + 0.127058i
\(738\) −8.86008 2.28397i −0.326144 0.0840742i
\(739\) −33.6755 + 19.4426i −1.23877 + 0.715206i −0.968843 0.247674i \(-0.920334\pi\)
−0.269930 + 0.962880i \(0.587000\pi\)
\(740\) 5.00224 + 14.6167i 0.183886 + 0.537321i
\(741\) 8.31696 7.43778i 0.305531 0.273234i
\(742\) 12.4748 12.4748i 0.457966 0.457966i
\(743\) −7.40811 1.98500i −0.271777 0.0728225i 0.120356 0.992731i \(-0.461596\pi\)
−0.392134 + 0.919908i \(0.628263\pi\)
\(744\) 3.00396 11.4280i 0.110131 0.418972i
\(745\) 9.01018 6.05284i 0.330107 0.221759i
\(746\) 13.0844i 0.479056i
\(747\) −0.601373 2.16191i −0.0220031 0.0791000i
\(748\) −3.18295 + 0.852869i −0.116380 + 0.0311840i
\(749\) −12.8267 −0.468677
\(750\) 17.2620 8.77626i 0.630320 0.320464i
\(751\) 2.85664 + 4.94785i 0.104240 + 0.180549i 0.913428 0.407001i \(-0.133426\pi\)
−0.809187 + 0.587551i \(0.800092\pi\)
\(752\) −1.23287 + 4.60115i −0.0449583 + 0.167787i
\(753\) −26.0841 + 0.124025i −0.950557 + 0.00451974i
\(754\) −19.4411 + 29.4098i −0.708005 + 1.07104i
\(755\) −32.6656 16.0081i −1.18882 0.582596i
\(756\) −22.2400 5.62045i −0.808862 0.204414i
\(757\) −24.6421 6.60283i −0.895632 0.239984i −0.218492 0.975839i \(-0.570114\pi\)
−0.677139 + 0.735855i \(0.736781\pi\)
\(758\) 8.09098 + 30.1959i 0.293878 + 1.09677i
\(759\) 9.71941 9.81228i 0.352792 0.356163i
\(760\) −3.92023 0.769662i −0.142202 0.0279186i
\(761\) 5.30759 + 3.06434i 0.192400 + 0.111082i 0.593106 0.805125i \(-0.297902\pi\)
−0.400706 + 0.916207i \(0.631235\pi\)
\(762\) −0.0627533 13.1978i −0.00227331 0.478106i
\(763\) 41.2185 11.0445i 1.49221 0.399836i
\(764\) 4.38695 + 7.59842i 0.158714 + 0.274901i
\(765\) −15.0833 + 17.6211i −0.545338 + 0.637094i
\(766\) 31.8174 1.14961
\(767\) 1.54201 + 7.55657i 0.0556789 + 0.272852i
\(768\) 0.00823552 + 1.73203i 0.000297174 + 0.0624993i
\(769\) 11.2286 6.48284i 0.404914 0.233777i −0.283688 0.958917i \(-0.591558\pi\)
0.688602 + 0.725139i \(0.258225\pi\)
\(770\) −9.38589 + 0.638605i −0.338244 + 0.0230137i
\(771\) 3.79794 + 13.9092i 0.136780 + 0.500929i
\(772\) −5.68413 + 5.68413i −0.204576 + 0.204576i
\(773\) 9.04811 + 33.7680i 0.325438 + 1.21455i