Properties

Label 731.2.p.a.16.11
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.11
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.473651 - 2.07520i) q^{2} +(-3.20126 - 0.730666i) q^{3} +(-2.28018 + 1.09808i) q^{4} +(-0.606394 + 0.483583i) q^{5} +6.98933i q^{6} +4.01427i q^{7} +(0.704462 + 0.883367i) q^{8} +(7.01126 + 3.37644i) q^{9} +O(q^{10})\) \(q+(-0.473651 - 2.07520i) q^{2} +(-3.20126 - 0.730666i) q^{3} +(-2.28018 + 1.09808i) q^{4} +(-0.606394 + 0.483583i) q^{5} +6.98933i q^{6} +4.01427i q^{7} +(0.704462 + 0.883367i) q^{8} +(7.01126 + 3.37644i) q^{9} +(1.29075 + 1.02934i) q^{10} +(-0.0655147 + 0.136043i) q^{11} +(8.10177 - 1.84918i) q^{12} +(-2.82091 - 3.53732i) q^{13} +(8.33041 - 1.90136i) q^{14} +(2.29456 - 1.10500i) q^{15} +(-1.65637 + 2.07703i) q^{16} +(-3.20415 + 2.59488i) q^{17} +(3.68591 - 16.1490i) q^{18} +(5.48249 - 2.64023i) q^{19} +(0.851678 - 1.76853i) q^{20} +(2.93309 - 12.8507i) q^{21} +(0.313347 + 0.0715195i) q^{22} +(2.64022 - 5.48246i) q^{23} +(-1.60972 - 3.34261i) q^{24} +(-0.978743 + 4.28815i) q^{25} +(-6.00452 + 7.52942i) q^{26} +(-12.2761 - 9.78990i) q^{27} +(-4.40798 - 9.15326i) q^{28} +(-3.86077 + 0.881195i) q^{29} +(-3.37993 - 4.23829i) q^{30} +(5.46981 - 1.24845i) q^{31} +(7.13075 + 3.43399i) q^{32} +(0.309131 - 0.387638i) q^{33} +(6.90255 + 5.42020i) q^{34} +(-1.94123 - 2.43423i) q^{35} -19.6945 q^{36} +1.77438i q^{37} +(-8.07580 - 10.1267i) q^{38} +(6.44587 + 13.3850i) q^{39} +(-0.854363 - 0.195003i) q^{40} +(0.498334 - 0.113742i) q^{41} -28.0570 q^{42} +(-5.20221 + 3.99212i) q^{43} -0.382142i q^{44} +(-5.88438 + 1.34307i) q^{45} +(-12.6278 - 2.88220i) q^{46} +(6.46678 - 3.11424i) q^{47} +(6.82009 - 5.43884i) q^{48} -9.11433 q^{49} +9.36237 q^{50} +(12.1533 - 5.96571i) q^{51} +(10.3164 + 4.96814i) q^{52} +(3.96512 - 4.97210i) q^{53} +(-14.5014 + 30.1125i) q^{54} +(-0.0260602 - 0.114177i) q^{55} +(-3.54607 + 2.82790i) q^{56} +(-19.4800 + 4.44618i) q^{57} +(3.65732 + 7.59450i) q^{58} +(8.70058 - 10.9102i) q^{59} +(-4.01864 + 5.03921i) q^{60} +(-6.39017 - 1.45851i) q^{61} +(-5.18156 - 10.7596i) q^{62} +(-13.5539 + 28.1450i) q^{63} +(2.56642 - 11.2442i) q^{64} +(3.42117 + 0.780861i) q^{65} +(-0.950848 - 0.457904i) q^{66} +(-7.90720 + 3.80791i) q^{67} +(4.45667 - 9.43521i) q^{68} +(-12.4579 + 15.6217i) q^{69} +(-4.13205 + 5.18143i) q^{70} +(-3.49429 - 7.25598i) q^{71} +(1.95652 + 8.57209i) q^{72} +(0.479123 - 0.382088i) q^{73} +(3.68219 - 0.840437i) q^{74} +(6.26641 - 13.0123i) q^{75} +(-9.60190 + 12.0404i) q^{76} +(-0.546112 - 0.262993i) q^{77} +(24.7235 - 19.7163i) q^{78} +5.60983i q^{79} -2.06049i q^{80} +(17.5901 + 22.0573i) q^{81} +(-0.472074 - 0.980271i) q^{82} +(2.74053 - 12.0071i) q^{83} +(7.42309 + 32.5227i) q^{84} +(0.688140 - 3.12300i) q^{85} +(10.7485 + 8.90476i) q^{86} +13.0032 q^{87} +(-0.166328 + 0.0379633i) q^{88} +(-0.803417 + 3.52000i) q^{89} +(5.57429 + 11.5751i) q^{90} +(14.1997 - 11.3239i) q^{91} +15.4002i q^{92} -18.4224 q^{93} +(-9.52567 - 11.9448i) q^{94} +(-2.04778 + 4.25226i) q^{95} +(-20.3182 - 16.2033i) q^{96} +(7.83533 - 16.2702i) q^{97} +(4.31701 + 18.9141i) q^{98} +(-0.918681 + 0.732624i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.473651 2.07520i −0.334922 1.46739i −0.809471 0.587160i \(-0.800246\pi\)
0.474548 0.880229i \(-0.342611\pi\)
\(3\) −3.20126 0.730666i −1.84825 0.421850i −0.853227 0.521540i \(-0.825358\pi\)
−0.995019 + 0.0996898i \(0.968215\pi\)
\(4\) −2.28018 + 1.09808i −1.14009 + 0.549039i
\(5\) −0.606394 + 0.483583i −0.271188 + 0.216265i −0.749635 0.661851i \(-0.769771\pi\)
0.478448 + 0.878116i \(0.341200\pi\)
\(6\) 6.98933i 2.85338i
\(7\) 4.01427i 1.51725i 0.651528 + 0.758625i \(0.274128\pi\)
−0.651528 + 0.758625i \(0.725872\pi\)
\(8\) 0.704462 + 0.883367i 0.249065 + 0.312317i
\(9\) 7.01126 + 3.37644i 2.33709 + 1.12548i
\(10\) 1.29075 + 1.02934i 0.408172 + 0.325506i
\(11\) −0.0655147 + 0.136043i −0.0197534 + 0.0410184i −0.910612 0.413262i \(-0.864389\pi\)
0.890859 + 0.454281i \(0.150104\pi\)
\(12\) 8.10177 1.84918i 2.33878 0.533811i
\(13\) −2.82091 3.53732i −0.782381 0.981075i −0.999987 0.00503814i \(-0.998396\pi\)
0.217606 0.976037i \(-0.430175\pi\)
\(14\) 8.33041 1.90136i 2.22640 0.508161i
\(15\) 2.29456 1.10500i 0.592453 0.285310i
\(16\) −1.65637 + 2.07703i −0.414093 + 0.519257i
\(17\) −3.20415 + 2.59488i −0.777121 + 0.629351i
\(18\) 3.68591 16.1490i 0.868778 3.80636i
\(19\) 5.48249 2.64023i 1.25777 0.605710i 0.318186 0.948028i \(-0.396926\pi\)
0.939584 + 0.342318i \(0.111212\pi\)
\(20\) 0.851678 1.76853i 0.190441 0.395455i
\(21\) 2.93309 12.8507i 0.640052 2.80425i
\(22\) 0.313347 + 0.0715195i 0.0668059 + 0.0152480i
\(23\) 2.64022 5.48246i 0.550523 1.14317i −0.421182 0.906976i \(-0.638385\pi\)
0.971705 0.236197i \(-0.0759010\pi\)
\(24\) −1.60972 3.34261i −0.328582 0.682307i
\(25\) −0.978743 + 4.28815i −0.195749 + 0.857631i
\(26\) −6.00452 + 7.52942i −1.17758 + 1.47664i
\(27\) −12.2761 9.78990i −2.36255 1.88407i
\(28\) −4.40798 9.15326i −0.833029 1.72980i
\(29\) −3.86077 + 0.881195i −0.716927 + 0.163634i −0.565397 0.824819i \(-0.691277\pi\)
−0.151530 + 0.988453i \(0.548420\pi\)
\(30\) −3.37993 4.23829i −0.617087 0.773803i
\(31\) 5.46981 1.24845i 0.982406 0.224228i 0.298989 0.954256i \(-0.403350\pi\)
0.683417 + 0.730029i \(0.260493\pi\)
\(32\) 7.13075 + 3.43399i 1.26055 + 0.607049i
\(33\) 0.309131 0.387638i 0.0538128 0.0674791i
\(34\) 6.90255 + 5.42020i 1.18378 + 0.929556i
\(35\) −1.94123 2.43423i −0.328128 0.411460i
\(36\) −19.6945 −3.28242
\(37\) 1.77438i 0.291706i 0.989306 + 0.145853i \(0.0465926\pi\)
−0.989306 + 0.145853i \(0.953407\pi\)
\(38\) −8.07580 10.1267i −1.31007 1.64277i
\(39\) 6.44587 + 13.3850i 1.03217 + 2.14331i
\(40\) −0.854363 0.195003i −0.135087 0.0308327i
\(41\) 0.498334 0.113742i 0.0778268 0.0177635i −0.183430 0.983033i \(-0.558720\pi\)
0.261257 + 0.965269i \(0.415863\pi\)
\(42\) −28.0570 −4.32930
\(43\) −5.20221 + 3.99212i −0.793329 + 0.608793i
\(44\) 0.382142i 0.0576101i
\(45\) −5.88438 + 1.34307i −0.877191 + 0.200213i
\(46\) −12.6278 2.88220i −1.86186 0.424958i
\(47\) 6.46678 3.11424i 0.943277 0.454258i 0.101953 0.994789i \(-0.467491\pi\)
0.841324 + 0.540531i \(0.181777\pi\)
\(48\) 6.82009 5.43884i 0.984395 0.785029i
\(49\) −9.11433 −1.30205
\(50\) 9.36237 1.32404
\(51\) 12.1533 5.96571i 1.70180 0.835366i
\(52\) 10.3164 + 4.96814i 1.43063 + 0.688957i
\(53\) 3.96512 4.97210i 0.544651 0.682970i −0.430987 0.902358i \(-0.641835\pi\)
0.975638 + 0.219388i \(0.0704060\pi\)
\(54\) −14.5014 + 30.1125i −1.97339 + 4.09779i
\(55\) −0.0260602 0.114177i −0.00351396 0.0153957i
\(56\) −3.54607 + 2.82790i −0.473864 + 0.377894i
\(57\) −19.4800 + 4.44618i −2.58019 + 0.588911i
\(58\) 3.65732 + 7.59450i 0.480229 + 0.997207i
\(59\) 8.70058 10.9102i 1.13272 1.42038i 0.239423 0.970915i \(-0.423042\pi\)
0.893296 0.449469i \(-0.148387\pi\)
\(60\) −4.01864 + 5.03921i −0.518804 + 0.650560i
\(61\) −6.39017 1.45851i −0.818177 0.186744i −0.207105 0.978319i \(-0.566404\pi\)
−0.611072 + 0.791575i \(0.709261\pi\)
\(62\) −5.18156 10.7596i −0.658059 1.36647i
\(63\) −13.5539 + 28.1450i −1.70764 + 3.54594i
\(64\) 2.56642 11.2442i 0.320803 1.40553i
\(65\) 3.42117 + 0.780861i 0.424344 + 0.0968538i
\(66\) −0.950848 0.457904i −0.117041 0.0563641i
\(67\) −7.90720 + 3.80791i −0.966018 + 0.465210i −0.849274 0.527952i \(-0.822960\pi\)
−0.116744 + 0.993162i \(0.537246\pi\)
\(68\) 4.45667 9.43521i 0.540451 1.14419i
\(69\) −12.4579 + 15.6217i −1.49975 + 1.88063i
\(70\) −4.13205 + 5.18143i −0.493874 + 0.619299i
\(71\) −3.49429 7.25598i −0.414697 0.861126i −0.998778 0.0494308i \(-0.984259\pi\)
0.584081 0.811695i \(-0.301455\pi\)
\(72\) 1.95652 + 8.57209i 0.230578 + 1.01023i
\(73\) 0.479123 0.382088i 0.0560771 0.0447200i −0.595050 0.803689i \(-0.702868\pi\)
0.651127 + 0.758969i \(0.274296\pi\)
\(74\) 3.68219 0.840437i 0.428046 0.0976988i
\(75\) 6.26641 13.0123i 0.723583 1.50254i
\(76\) −9.60190 + 12.0404i −1.10141 + 1.38113i
\(77\) −0.546112 0.262993i −0.0622352 0.0299709i
\(78\) 24.7235 19.7163i 2.79938 2.23243i
\(79\) 5.60983i 0.631155i 0.948900 + 0.315578i \(0.102198\pi\)
−0.948900 + 0.315578i \(0.897802\pi\)
\(80\) 2.06049i 0.230370i
\(81\) 17.5901 + 22.0573i 1.95446 + 2.45081i
\(82\) −0.472074 0.980271i −0.0521318 0.108253i
\(83\) 2.74053 12.0071i 0.300813 1.31795i −0.568091 0.822965i \(-0.692318\pi\)
0.868904 0.494981i \(-0.164825\pi\)
\(84\) 7.42309 + 32.5227i 0.809925 + 3.54851i
\(85\) 0.688140 3.12300i 0.0746392 0.338736i
\(86\) 10.7485 + 8.90476i 1.15904 + 0.960224i
\(87\) 13.0032 1.39409
\(88\) −0.166328 + 0.0379633i −0.0177307 + 0.00404691i
\(89\) −0.803417 + 3.52000i −0.0851620 + 0.373119i −0.999493 0.0318492i \(-0.989860\pi\)
0.914331 + 0.404968i \(0.132718\pi\)
\(90\) 5.57429 + 11.5751i 0.587582 + 1.22013i
\(91\) 14.1997 11.3239i 1.48854 1.18707i
\(92\) 15.4002i 1.60558i
\(93\) −18.4224 −1.91032
\(94\) −9.52567 11.9448i −0.982498 1.23201i
\(95\) −2.04778 + 4.25226i −0.210098 + 0.436273i
\(96\) −20.3182 16.2033i −2.07372 1.65374i
\(97\) 7.83533 16.2702i 0.795557 1.65199i 0.0379501 0.999280i \(-0.487917\pi\)
0.757607 0.652711i \(-0.226369\pi\)
\(98\) 4.31701 + 18.9141i 0.436084 + 1.91061i
\(99\) −0.918681 + 0.732624i −0.0923309 + 0.0736314i
\(100\) −2.47701 10.8525i −0.247701 1.08525i
\(101\) 1.68272 0.810355i 0.167437 0.0806333i −0.348288 0.937388i \(-0.613237\pi\)
0.515725 + 0.856754i \(0.327523\pi\)
\(102\) −18.1365 22.3949i −1.79578 2.21743i
\(103\) 3.12524 3.91893i 0.307939 0.386144i −0.603647 0.797251i \(-0.706287\pi\)
0.911587 + 0.411108i \(0.134858\pi\)
\(104\) 1.13752 4.98381i 0.111543 0.488703i
\(105\) 4.43577 + 9.21098i 0.432887 + 0.898899i
\(106\) −12.1962 5.87338i −1.18460 0.570473i
\(107\) 3.83218 + 0.874670i 0.370471 + 0.0845575i 0.403703 0.914890i \(-0.367723\pi\)
−0.0332322 + 0.999448i \(0.510580\pi\)
\(108\) 38.7419 + 8.84259i 3.72794 + 0.850879i
\(109\) 8.61724 17.8939i 0.825382 1.71392i 0.134552 0.990907i \(-0.457041\pi\)
0.690830 0.723017i \(-0.257245\pi\)
\(110\) −0.224598 + 0.108161i −0.0214146 + 0.0103127i
\(111\) 1.29648 5.68024i 0.123056 0.539144i
\(112\) −8.33774 6.64912i −0.787842 0.628283i
\(113\) −10.7098 8.54077i −1.00749 0.803448i −0.0269261 0.999637i \(-0.508572\pi\)
−0.980566 + 0.196189i \(0.937143\pi\)
\(114\) 18.4534 + 38.3190i 1.72832 + 3.58890i
\(115\) 1.05022 + 4.60130i 0.0979332 + 0.429073i
\(116\) 7.83564 6.24871i 0.727521 0.580178i
\(117\) −7.83461 34.3257i −0.724310 3.17341i
\(118\) −26.7619 12.8878i −2.46363 1.18642i
\(119\) −10.4165 12.8623i −0.954882 1.17909i
\(120\) 2.59255 + 1.24851i 0.236667 + 0.113973i
\(121\) 6.84417 + 8.58232i 0.622197 + 0.780211i
\(122\) 13.9517i 1.26313i
\(123\) −1.67840 −0.151336
\(124\) −11.1013 + 8.85296i −0.996923 + 0.795019i
\(125\) −3.16279 6.56761i −0.282889 0.587425i
\(126\) 64.8265 + 14.7962i 5.77520 + 1.31815i
\(127\) 2.91084 + 12.7532i 0.258295 + 1.13166i 0.923073 + 0.384624i \(0.125669\pi\)
−0.664778 + 0.747041i \(0.731474\pi\)
\(128\) −8.72060 −0.770799
\(129\) 19.5705 8.97874i 1.72309 0.790534i
\(130\) 7.46949i 0.655117i
\(131\) 10.4639 2.38832i 0.914236 0.208668i 0.260573 0.965454i \(-0.416089\pi\)
0.653663 + 0.756786i \(0.273231\pi\)
\(132\) −0.279218 + 1.22334i −0.0243028 + 0.106478i
\(133\) 10.5986 + 22.0082i 0.919014 + 1.90835i
\(134\) 11.6474 + 14.6054i 1.00618 + 1.26172i
\(135\) 12.1784 1.04815
\(136\) −4.54944 1.00245i −0.390111 0.0859594i
\(137\) 2.44948 + 3.07155i 0.209273 + 0.262420i 0.875379 0.483437i \(-0.160612\pi\)
−0.666106 + 0.745857i \(0.732040\pi\)
\(138\) 38.3188 + 18.4533i 3.26191 + 1.57085i
\(139\) 0.636385 + 0.507500i 0.0539775 + 0.0430456i 0.650107 0.759843i \(-0.274724\pi\)
−0.596129 + 0.802888i \(0.703296\pi\)
\(140\) 7.09934 + 3.41886i 0.600003 + 0.288946i
\(141\) −22.9773 + 5.24441i −1.93504 + 0.441659i
\(142\) −13.4025 + 10.6882i −1.12472 + 0.896932i
\(143\) 0.666037 0.152019i 0.0556968 0.0127124i
\(144\) −18.6262 + 8.96992i −1.55219 + 0.747493i
\(145\) 1.91502 2.40136i 0.159034 0.199422i
\(146\) −1.01985 0.813300i −0.0844031 0.0673092i
\(147\) 29.1773 + 6.65953i 2.40650 + 0.549268i
\(148\) −1.94841 4.04591i −0.160158 0.332571i
\(149\) −4.53839 2.18557i −0.371799 0.179049i 0.238648 0.971106i \(-0.423296\pi\)
−0.610447 + 0.792057i \(0.709010\pi\)
\(150\) −29.9713 6.84076i −2.44715 0.558546i
\(151\) 1.98986 8.71815i 0.161933 0.709473i −0.827134 0.562004i \(-0.810030\pi\)
0.989067 0.147468i \(-0.0471125\pi\)
\(152\) 6.19450 + 2.98311i 0.502440 + 0.241962i
\(153\) −31.2266 + 7.37473i −2.52452 + 0.596211i
\(154\) −0.287098 + 1.25786i −0.0231350 + 0.101361i
\(155\) −2.71313 + 3.40216i −0.217924 + 0.273268i
\(156\) −29.3955 23.4422i −2.35353 1.87687i
\(157\) −6.83215 + 3.29019i −0.545265 + 0.262586i −0.686175 0.727437i \(-0.740711\pi\)
0.140910 + 0.990022i \(0.454997\pi\)
\(158\) 11.6415 2.65710i 0.926151 0.211388i
\(159\) −16.3263 + 13.0198i −1.29476 + 1.03254i
\(160\) −5.98467 + 1.36596i −0.473129 + 0.107989i
\(161\) 22.0081 + 10.5985i 1.73448 + 0.835281i
\(162\) 37.4418 46.9505i 2.94171 3.68878i
\(163\) 2.20616 4.58114i 0.172800 0.358822i −0.796525 0.604606i \(-0.793331\pi\)
0.969325 + 0.245783i \(0.0790451\pi\)
\(164\) −1.01140 + 0.806562i −0.0789768 + 0.0629819i
\(165\) 0.384552i 0.0299374i
\(166\) −26.2151 −2.03469
\(167\) 14.6837 11.7099i 1.13626 0.906138i 0.139799 0.990180i \(-0.455354\pi\)
0.996462 + 0.0840421i \(0.0267830\pi\)
\(168\) 13.4181 6.46183i 1.03523 0.498541i
\(169\) −1.66227 + 7.28287i −0.127867 + 0.560221i
\(170\) −6.80679 + 0.0511821i −0.522057 + 0.00392549i
\(171\) 47.3537 3.62123
\(172\) 7.47831 14.8152i 0.570216 1.12965i
\(173\) 14.4261i 1.09679i 0.836218 + 0.548397i \(0.184762\pi\)
−0.836218 + 0.548397i \(0.815238\pi\)
\(174\) −6.15897 26.9842i −0.466910 2.04567i
\(175\) −17.2138 3.92894i −1.30124 0.297000i
\(176\) −0.174048 0.361413i −0.0131193 0.0272426i
\(177\) −35.8245 + 28.5691i −2.69273 + 2.14738i
\(178\) 7.68525 0.576034
\(179\) 1.82748 0.136592 0.0682961 0.997665i \(-0.478244\pi\)
0.0682961 + 0.997665i \(0.478244\pi\)
\(180\) 11.9427 9.52395i 0.890153 0.709873i
\(181\) 0.402410 0.835614i 0.0299109 0.0621107i −0.885478 0.464681i \(-0.846169\pi\)
0.915389 + 0.402571i \(0.131883\pi\)
\(182\) −30.2251 24.1037i −2.24043 1.78669i
\(183\) 19.3909 + 9.33816i 1.43342 + 0.690296i
\(184\) 6.70296 1.52991i 0.494149 0.112786i
\(185\) −0.858060 1.07597i −0.0630858 0.0791071i
\(186\) 8.72581 + 38.2303i 0.639808 + 2.80318i
\(187\) −0.143095 0.605905i −0.0104642 0.0443081i
\(188\) −11.3258 + 14.2021i −0.826016 + 1.03579i
\(189\) 39.2993 49.2797i 2.85860 3.58457i
\(190\) 9.79424 + 2.23547i 0.710549 + 0.162178i
\(191\) 5.07059 2.44187i 0.366895 0.176687i −0.241347 0.970439i \(-0.577589\pi\)
0.608242 + 0.793751i \(0.291875\pi\)
\(192\) −16.4316 + 34.1205i −1.18585 + 2.46243i
\(193\) −7.16651 1.63571i −0.515857 0.117741i −0.0433360 0.999061i \(-0.513799\pi\)
−0.472521 + 0.881320i \(0.656656\pi\)
\(194\) −37.4752 8.55347i −2.69056 0.614104i
\(195\) −10.3815 4.99947i −0.743435 0.358019i
\(196\) 20.7823 10.0082i 1.48445 0.714874i
\(197\) 10.8766 + 2.48252i 0.774927 + 0.176872i 0.591656 0.806190i \(-0.298474\pi\)
0.183271 + 0.983062i \(0.441331\pi\)
\(198\) 1.95548 + 1.55944i 0.138970 + 0.110825i
\(199\) 5.67592 + 4.52640i 0.402356 + 0.320868i 0.803673 0.595071i \(-0.202876\pi\)
−0.401317 + 0.915939i \(0.631448\pi\)
\(200\) −4.47750 + 2.15625i −0.316607 + 0.152470i
\(201\) 28.0953 6.41256i 1.98169 0.452307i
\(202\) −2.47867 3.10816i −0.174399 0.218689i
\(203\) −3.53735 15.4982i −0.248273 1.08776i
\(204\) −21.1609 + 26.9482i −1.48156 + 1.88675i
\(205\) −0.247184 + 0.309959i −0.0172641 + 0.0216484i
\(206\) −9.61285 4.62930i −0.669759 0.322539i
\(207\) 37.0224 29.5244i 2.57324 2.05209i
\(208\) 12.0196 0.833408
\(209\) 0.918827i 0.0635566i
\(210\) 17.0136 13.5679i 1.17405 0.936275i
\(211\) 0.946895 + 1.96625i 0.0651869 + 0.135362i 0.931017 0.364977i \(-0.118923\pi\)
−0.865830 + 0.500339i \(0.833209\pi\)
\(212\) −3.58144 + 15.6913i −0.245974 + 1.07768i
\(213\) 5.88444 + 25.7814i 0.403195 + 1.76651i
\(214\) 8.36684i 0.571945i
\(215\) 1.22406 4.93650i 0.0834804 0.336667i
\(216\) 17.7410i 1.20712i
\(217\) 5.01160 + 21.9572i 0.340210 + 1.49056i
\(218\) −41.2150 9.40706i −2.79143 0.637126i
\(219\) −1.81297 + 0.873081i −0.122509 + 0.0589974i
\(220\) 0.184798 + 0.231729i 0.0124591 + 0.0156232i
\(221\) 18.2176 + 4.01417i 1.22545 + 0.270022i
\(222\) −12.4017 −0.832349
\(223\) −14.5944 18.3008i −0.977312 1.22551i −0.974240 0.225516i \(-0.927593\pi\)
−0.00307281 0.999995i \(-0.500978\pi\)
\(224\) −13.7849 + 28.6247i −0.921045 + 1.91257i
\(225\) −21.3409 + 26.7607i −1.42273 + 1.78405i
\(226\) −12.6511 + 26.2703i −0.841540 + 1.74748i
\(227\) 17.7544 4.05233i 1.17840 0.268962i 0.411915 0.911222i \(-0.364860\pi\)
0.766487 + 0.642260i \(0.222003\pi\)
\(228\) 39.5357 31.5286i 2.61831 2.08803i
\(229\) −3.67149 16.0858i −0.242619 1.06298i −0.938623 0.344945i \(-0.887898\pi\)
0.696004 0.718038i \(-0.254959\pi\)
\(230\) 9.05119 4.35882i 0.596818 0.287412i
\(231\) 1.55608 + 1.24093i 0.102383 + 0.0816475i
\(232\) −3.49818 2.78971i −0.229667 0.183153i
\(233\) 7.81640 + 1.78404i 0.512069 + 0.116876i 0.470745 0.882269i \(-0.343985\pi\)
0.0413243 + 0.999146i \(0.486842\pi\)
\(234\) −67.5219 + 32.5168i −4.41404 + 2.12569i
\(235\) −2.41543 + 5.01568i −0.157565 + 0.327187i
\(236\) −7.85868 + 34.4311i −0.511556 + 2.24127i
\(237\) 4.09891 17.9585i 0.266253 1.16653i
\(238\) −21.7581 + 27.7087i −1.41037 + 1.79609i
\(239\) 5.01811 2.41660i 0.324595 0.156317i −0.264489 0.964389i \(-0.585203\pi\)
0.589083 + 0.808072i \(0.299489\pi\)
\(240\) −1.50553 + 6.59616i −0.0971816 + 0.425780i
\(241\) 11.9472 + 9.52756i 0.769586 + 0.613724i 0.927541 0.373722i \(-0.121919\pi\)
−0.157955 + 0.987446i \(0.550490\pi\)
\(242\) 14.5683 18.2681i 0.936486 1.17432i
\(243\) −19.7557 41.0231i −1.26733 2.63163i
\(244\) 16.1723 3.69123i 1.03533 0.236306i
\(245\) 5.52688 4.40754i 0.353099 0.281587i
\(246\) 0.794978 + 3.48303i 0.0506859 + 0.222070i
\(247\) −24.8050 11.9454i −1.57830 0.760070i
\(248\) 4.95611 + 3.95236i 0.314713 + 0.250975i
\(249\) −17.5463 + 36.4353i −1.11195 + 2.30899i
\(250\) −12.1311 + 9.67419i −0.767235 + 0.611850i
\(251\) 5.56854 0.351483 0.175741 0.984436i \(-0.443768\pi\)
0.175741 + 0.984436i \(0.443768\pi\)
\(252\) 79.0591i 4.98026i
\(253\) 0.572876 + 0.718364i 0.0360164 + 0.0451632i
\(254\) 25.0868 12.0812i 1.57408 0.758039i
\(255\) −4.48478 + 9.49471i −0.280848 + 0.594582i
\(256\) −1.00232 4.39147i −0.0626453 0.274467i
\(257\) −4.43316 −0.276533 −0.138266 0.990395i \(-0.544153\pi\)
−0.138266 + 0.990395i \(0.544153\pi\)
\(258\) −27.9023 36.3600i −1.73712 2.26367i
\(259\) −7.12282 −0.442591
\(260\) −8.65835 + 1.97621i −0.536968 + 0.122559i
\(261\) −30.0441 6.85738i −1.85969 0.424461i
\(262\) −9.91249 20.5835i −0.612396 1.27165i
\(263\) 9.50271 + 11.9160i 0.585962 + 0.734774i 0.983117 0.182978i \(-0.0585737\pi\)
−0.397155 + 0.917752i \(0.630002\pi\)
\(264\) 0.560198 0.0344778
\(265\) 4.93252i 0.303002i
\(266\) 40.6514 32.4184i 2.49250 1.98770i
\(267\) 5.14389 10.6814i 0.314801 0.653690i
\(268\) 13.8485 17.3654i 0.845930 1.06076i
\(269\) −2.36143 + 4.90355i −0.143979 + 0.298975i −0.960470 0.278382i \(-0.910202\pi\)
0.816492 + 0.577357i \(0.195916\pi\)
\(270\) −5.76833 25.2727i −0.351049 1.53805i
\(271\) 8.48436 + 10.6391i 0.515388 + 0.646276i 0.969623 0.244606i \(-0.0786585\pi\)
−0.454234 + 0.890882i \(0.650087\pi\)
\(272\) −0.0823601 10.9532i −0.00499382 0.664135i
\(273\) −53.7309 + 25.8754i −3.25194 + 1.56605i
\(274\) 5.21389 6.53802i 0.314983 0.394976i
\(275\) −0.519250 0.414088i −0.0313120 0.0249705i
\(276\) 11.2524 49.2999i 0.677314 2.96751i
\(277\) 4.87233 + 10.1175i 0.292750 + 0.607901i 0.994525 0.104497i \(-0.0333232\pi\)
−0.701775 + 0.712398i \(0.747609\pi\)
\(278\) 0.751741 1.56101i 0.0450864 0.0936229i
\(279\) 42.5655 + 9.71530i 2.54833 + 0.581640i
\(280\) 0.782793 3.42964i 0.0467808 0.204960i
\(281\) 22.9619 + 11.0579i 1.36979 + 0.659657i 0.966797 0.255546i \(-0.0822551\pi\)
0.402994 + 0.915202i \(0.367969\pi\)
\(282\) 21.7664 + 45.1985i 1.29617 + 2.69153i
\(283\) 28.9512 + 6.60793i 1.72097 + 0.392801i 0.965092 0.261909i \(-0.0843522\pi\)
0.755880 + 0.654710i \(0.227209\pi\)
\(284\) 15.9353 + 12.7079i 0.945584 + 0.754078i
\(285\) 9.66245 12.1163i 0.572354 0.717710i
\(286\) −0.630939 1.31016i −0.0373082 0.0774713i
\(287\) 0.456589 + 2.00045i 0.0269516 + 0.118083i
\(288\) 38.4008 + 48.1531i 2.26279 + 2.83745i
\(289\) 3.53320 16.6288i 0.207835 0.978164i
\(290\) −5.89035 2.83664i −0.345893 0.166573i
\(291\) −36.9710 + 46.3601i −2.16728 + 2.71768i
\(292\) −0.672925 + 1.39734i −0.0393800 + 0.0817733i
\(293\) −17.8580 22.3932i −1.04328 1.30823i −0.949886 0.312598i \(-0.898801\pi\)
−0.0933906 0.995630i \(-0.529771\pi\)
\(294\) 63.7031i 3.71524i
\(295\) 10.8233i 0.630158i
\(296\) −1.56743 + 1.24998i −0.0911049 + 0.0726537i
\(297\) 2.13611 1.02870i 0.123950 0.0596911i
\(298\) −2.38589 + 10.4533i −0.138211 + 0.605542i
\(299\) −26.8410 + 6.12629i −1.55226 + 0.354292i
\(300\) 36.5515i 2.11030i
\(301\) −16.0254 20.8830i −0.923691 1.20368i
\(302\) −19.0344 −1.09531
\(303\) −5.97891 + 1.36465i −0.343479 + 0.0783969i
\(304\) −3.59723 + 15.7605i −0.206315 + 0.903926i
\(305\) 4.58028 2.20575i 0.262266 0.126301i
\(306\) 30.0946 + 61.3085i 1.72039 + 3.50477i
\(307\) −6.71337 −0.383152 −0.191576 0.981478i \(-0.561360\pi\)
−0.191576 + 0.981478i \(0.561360\pi\)
\(308\) 1.53402 0.0874090
\(309\) −12.8681 + 10.2620i −0.732042 + 0.583784i
\(310\) 8.34525 + 4.01886i 0.473978 + 0.228256i
\(311\) −15.8086 12.6069i −0.896423 0.714874i 0.0626487 0.998036i \(-0.480045\pi\)
−0.959072 + 0.283162i \(0.908617\pi\)
\(312\) −7.28299 + 15.1233i −0.412318 + 0.856188i
\(313\) −9.10907 + 2.07909i −0.514875 + 0.117517i −0.472061 0.881566i \(-0.656490\pi\)
−0.0428147 + 0.999083i \(0.513632\pi\)
\(314\) 10.0639 + 12.6197i 0.567937 + 0.712170i
\(315\) −5.39144 23.6215i −0.303773 1.33092i
\(316\) −6.16003 12.7914i −0.346529 0.719574i
\(317\) 8.33882 + 6.64999i 0.468355 + 0.373501i 0.829042 0.559186i \(-0.188886\pi\)
−0.360687 + 0.932687i \(0.617458\pi\)
\(318\) 34.7517 + 27.7135i 1.94878 + 1.55410i
\(319\) 0.133057 0.582961i 0.00744976 0.0326395i
\(320\) 3.88126 + 8.05953i 0.216969 + 0.450541i
\(321\) −11.6287 5.60008i −0.649050 0.312566i
\(322\) 11.5699 50.6912i 0.644767 2.82491i
\(323\) −10.7157 + 22.6861i −0.596236 + 1.26229i
\(324\) −64.3293 30.9794i −3.57385 1.72108i
\(325\) 17.9295 8.63440i 0.994550 0.478950i
\(326\) −10.5517 2.40837i −0.584407 0.133387i
\(327\) −40.6604 + 50.9866i −2.24853 + 2.81956i
\(328\) 0.451533 + 0.360086i 0.0249317 + 0.0198824i
\(329\) 12.5014 + 25.9594i 0.689223 + 1.43119i
\(330\) 0.798024 0.182144i 0.0439298 0.0100267i
\(331\) −15.3633 19.2650i −0.844444 1.05890i −0.997499 0.0706820i \(-0.977482\pi\)
0.153054 0.988218i \(-0.451089\pi\)
\(332\) 6.93577 + 30.3876i 0.380650 + 1.66774i
\(333\) −5.99109 + 12.4406i −0.328310 + 0.681742i
\(334\) −31.2553 24.9253i −1.71022 1.36385i
\(335\) 2.95344 6.13288i 0.161364 0.335075i
\(336\) 21.8329 + 27.3776i 1.19108 + 1.49357i
\(337\) 11.4554i 0.624018i −0.950079 0.312009i \(-0.898998\pi\)
0.950079 0.312009i \(-0.101002\pi\)
\(338\) 15.9008 0.864887
\(339\) 28.0443 + 35.1665i 1.52316 + 1.90998i
\(340\) 1.86021 + 7.87663i 0.100884 + 0.427170i
\(341\) −0.188511 + 0.825919i −0.0102084 + 0.0447260i
\(342\) −22.4292 98.2686i −1.21283 5.31376i
\(343\) 8.48747i 0.458280i
\(344\) −7.19127 1.78316i −0.387727 0.0961415i
\(345\) 15.4973i 0.834346i
\(346\) 29.9370 6.83293i 1.60942 0.367341i
\(347\) −19.4361 4.43616i −1.04338 0.238146i −0.333710 0.942676i \(-0.608301\pi\)
−0.709674 + 0.704530i \(0.751158\pi\)
\(348\) −29.6496 + 14.2785i −1.58938 + 0.765407i
\(349\) 9.00533 + 11.2923i 0.482044 + 0.604464i 0.962074 0.272788i \(-0.0879457\pi\)
−0.480030 + 0.877252i \(0.659374\pi\)
\(350\) 37.5831i 2.00890i
\(351\) 71.0411i 3.79189i
\(352\) −0.934338 + 0.745110i −0.0498004 + 0.0397145i
\(353\) −24.9644 12.0222i −1.32872 0.639878i −0.371284 0.928519i \(-0.621082\pi\)
−0.957437 + 0.288641i \(0.906797\pi\)
\(354\) 76.2549 + 60.8112i 4.05290 + 3.23208i
\(355\) 5.62779 + 2.71020i 0.298692 + 0.143843i
\(356\) −2.03330 8.90845i −0.107765 0.472147i
\(357\) 23.9479 + 48.7866i 1.26746 + 2.58206i
\(358\) −0.865588 3.79239i −0.0457478 0.200434i
\(359\) −9.25668 + 4.45778i −0.488549 + 0.235273i −0.661907 0.749586i \(-0.730253\pi\)
0.173358 + 0.984859i \(0.444538\pi\)
\(360\) −5.33174 4.25192i −0.281008 0.224096i
\(361\) 11.2406 14.0953i 0.591611 0.741857i
\(362\) −1.92467 0.439293i −0.101158 0.0230887i
\(363\) −15.6391 32.4750i −0.820842 1.70450i
\(364\) −19.9434 + 41.4130i −1.04532 + 2.17063i
\(365\) −0.105766 + 0.463392i −0.00553605 + 0.0242550i
\(366\) 10.1940 44.6630i 0.532851 2.33457i
\(367\) 11.2852 23.4340i 0.589084 1.22325i −0.367019 0.930214i \(-0.619621\pi\)
0.956103 0.293032i \(-0.0946642\pi\)
\(368\) 7.01404 + 14.5648i 0.365632 + 0.759243i
\(369\) 3.87799 + 0.885126i 0.201880 + 0.0460778i
\(370\) −1.82644 + 2.29028i −0.0949521 + 0.119066i
\(371\) 19.9593 + 15.9170i 1.03624 + 0.826371i
\(372\) 42.0065 20.2293i 2.17794 1.04884i
\(373\) 1.29885 + 5.69062i 0.0672517 + 0.294649i 0.997358 0.0726410i \(-0.0231427\pi\)
−0.930106 + 0.367290i \(0.880286\pi\)
\(374\) −1.18960 + 0.583939i −0.0615126 + 0.0301948i
\(375\) 5.32618 + 23.3355i 0.275043 + 1.20504i
\(376\) 7.30661 + 3.51868i 0.376810 + 0.181462i
\(377\) 14.0080 + 11.1710i 0.721447 + 0.575335i
\(378\) −120.880 58.2125i −6.21737 2.99413i
\(379\) −21.3142 + 16.9975i −1.09484 + 0.873102i −0.992572 0.121655i \(-0.961180\pi\)
−0.102263 + 0.994757i \(0.532608\pi\)
\(380\) 11.9446i 0.612743i
\(381\) 42.9531i 2.20056i
\(382\) −7.46907 9.36592i −0.382151 0.479202i
\(383\) −3.64688 + 1.75625i −0.186347 + 0.0897400i −0.524731 0.851268i \(-0.675834\pi\)
0.338384 + 0.941008i \(0.390120\pi\)
\(384\) 27.9169 + 6.37184i 1.42463 + 0.325162i
\(385\) 0.458338 0.104613i 0.0233591 0.00533156i
\(386\) 15.6467i 0.796397i
\(387\) −49.9532 + 10.4249i −2.53926 + 0.529925i
\(388\) 45.7029i 2.32021i
\(389\) 6.00474 + 26.3085i 0.304453 + 1.33389i 0.863329 + 0.504642i \(0.168376\pi\)
−0.558876 + 0.829251i \(0.688767\pi\)
\(390\) −5.45770 + 23.9117i −0.276361 + 1.21082i
\(391\) 5.76668 + 24.4177i 0.291634 + 1.23486i
\(392\) −6.42070 8.05130i −0.324294 0.406652i
\(393\) −35.2427 −1.77776
\(394\) 23.7470i 1.19636i
\(395\) −2.71282 3.40177i −0.136497 0.171162i
\(396\) 1.29028 2.67930i 0.0648391 0.134640i
\(397\) 27.1047 + 21.6152i 1.36034 + 1.08484i 0.987615 + 0.156898i \(0.0501494\pi\)
0.372729 + 0.927940i \(0.378422\pi\)
\(398\) 6.70478 13.9226i 0.336080 0.697878i
\(399\) −17.8481 78.1978i −0.893525 3.91479i
\(400\) −7.28545 9.13566i −0.364272 0.456783i
\(401\) −5.29440 + 1.20841i −0.264390 + 0.0603452i −0.352661 0.935751i \(-0.614723\pi\)
0.0882709 + 0.996097i \(0.471866\pi\)
\(402\) −26.6147 55.2660i −1.32742 2.75642i
\(403\) −19.8460 15.8267i −0.988600 0.788382i
\(404\) −2.94707 + 3.69551i −0.146622 + 0.183859i
\(405\) −21.3331 4.86914i −1.06005 0.241950i
\(406\) −30.4863 + 14.6814i −1.51301 + 0.728628i
\(407\) −0.241391 0.116248i −0.0119653 0.00576219i
\(408\) 13.8314 + 6.53321i 0.684759 + 0.323442i
\(409\) −1.04669 + 4.58583i −0.0517552 + 0.226755i −0.994191 0.107634i \(-0.965673\pi\)
0.942435 + 0.334388i \(0.108530\pi\)
\(410\) 0.760306 + 0.366144i 0.0375488 + 0.0180826i
\(411\) −5.59714 11.6226i −0.276086 0.573299i
\(412\) −2.82283 + 12.3676i −0.139071 + 0.609310i
\(413\) 43.7964 + 34.9264i 2.15508 + 1.71862i
\(414\) −78.8049 62.8448i −3.87305 3.08865i
\(415\) 4.14457 + 8.60629i 0.203449 + 0.422466i
\(416\) −7.96814 34.9107i −0.390670 1.71164i
\(417\) −1.66642 2.08962i −0.0816048 0.102329i
\(418\) 1.90675 0.435204i 0.0932623 0.0212865i
\(419\) −16.2979 + 33.8430i −0.796205 + 1.65334i −0.0398235 + 0.999207i \(0.512680\pi\)
−0.756382 + 0.654130i \(0.773035\pi\)
\(420\) −20.2287 16.1319i −0.987061 0.787155i
\(421\) −14.4341 6.95108i −0.703473 0.338775i 0.0477169 0.998861i \(-0.484805\pi\)
−0.751190 + 0.660086i \(0.770520\pi\)
\(422\) 3.63186 2.89631i 0.176796 0.140990i
\(423\) 55.8553 2.71578
\(424\) 7.18546 0.348957
\(425\) −7.99120 16.2796i −0.387630 0.789678i
\(426\) 50.7145 24.4228i 2.45712 1.18329i
\(427\) 5.85487 25.6518i 0.283337 1.24138i
\(428\) −9.69852 + 2.21362i −0.468796 + 0.107000i
\(429\) −2.24323 −0.108304
\(430\) −10.8240 0.201998i −0.521981 0.00974123i
\(431\) 32.0330i 1.54298i −0.636243 0.771488i \(-0.719513\pi\)
0.636243 0.771488i \(-0.280487\pi\)
\(432\) 40.6678 9.28215i 1.95663 0.446588i
\(433\) −4.97520 + 21.7978i −0.239093 + 1.04753i 0.702738 + 0.711448i \(0.251960\pi\)
−0.941831 + 0.336086i \(0.890897\pi\)
\(434\) 43.1920 20.8002i 2.07328 0.998440i
\(435\) −7.88505 + 6.28812i −0.378059 + 0.301492i
\(436\) 50.2637i 2.40720i
\(437\) 37.0283i 1.77131i
\(438\) 2.67054 + 3.34875i 0.127603 + 0.160009i
\(439\) −9.34021 + 19.3951i −0.445784 + 0.925680i 0.550105 + 0.835096i \(0.314588\pi\)
−0.995889 + 0.0905844i \(0.971127\pi\)
\(440\) 0.0825021 0.103454i 0.00393313 0.00493199i
\(441\) −63.9029 30.7740i −3.04299 1.46543i
\(442\) −0.298564 39.7064i −0.0142012 1.88864i
\(443\) −7.03486 8.82144i −0.334236 0.419119i 0.586105 0.810235i \(-0.300661\pi\)
−0.920341 + 0.391116i \(0.872089\pi\)
\(444\) 3.28114 + 14.3756i 0.155716 + 0.682236i
\(445\) −1.21503 2.52303i −0.0575978 0.119603i
\(446\) −31.0652 + 38.9545i −1.47098 + 1.84455i
\(447\) 12.9316 + 10.3126i 0.611645 + 0.487770i
\(448\) 45.1374 + 10.3023i 2.13254 + 0.486738i
\(449\) −5.31664 11.0401i −0.250908 0.521015i 0.737031 0.675859i \(-0.236227\pi\)
−0.987939 + 0.154843i \(0.950513\pi\)
\(450\) 65.6420 + 31.6115i 3.09439 + 1.49018i
\(451\) −0.0171745 + 0.0752465i −0.000808717 + 0.00354322i
\(452\) 33.7987 + 7.71433i 1.58976 + 0.362852i
\(453\) −12.7401 + 26.4551i −0.598582 + 1.24297i
\(454\) −16.8188 34.9246i −0.789345 1.63909i
\(455\) −3.13458 + 13.7335i −0.146951 + 0.643836i
\(456\) −17.6505 14.0758i −0.826561 0.659160i
\(457\) 13.6854 17.1610i 0.640176 0.802756i −0.350849 0.936432i \(-0.614107\pi\)
0.991025 + 0.133677i \(0.0426783\pi\)
\(458\) −31.6424 + 15.2382i −1.47855 + 0.712033i
\(459\) 64.7383 0.486785i 3.02172 0.0227212i
\(460\) −7.44727 9.33858i −0.347231 0.435414i
\(461\) −4.06919 17.8283i −0.189521 0.830347i −0.976869 0.213838i \(-0.931404\pi\)
0.787348 0.616509i \(-0.211454\pi\)
\(462\) 1.83815 3.81696i 0.0855184 0.177581i
\(463\) 7.84803 9.84112i 0.364729 0.457356i −0.565276 0.824902i \(-0.691230\pi\)
0.930005 + 0.367546i \(0.119802\pi\)
\(464\) 4.56461 9.47851i 0.211907 0.440029i
\(465\) 11.1713 8.90879i 0.518055 0.413135i
\(466\) 17.0656i 0.790550i
\(467\) 15.1264 0.699968 0.349984 0.936756i \(-0.386187\pi\)
0.349984 + 0.936756i \(0.386187\pi\)
\(468\) 55.5566 + 69.6658i 2.56811 + 3.22030i
\(469\) −15.2859 31.7416i −0.705839 1.46569i
\(470\) 11.5526 + 2.63681i 0.532883 + 0.121627i
\(471\) 24.2755 5.54072i 1.11855 0.255303i
\(472\) 15.7669 0.725731
\(473\) −0.202278 0.969265i −0.00930077 0.0445669i
\(474\) −39.2090 −1.80093
\(475\) 5.95576 + 26.0939i 0.273269 + 1.19727i
\(476\) 37.8754 + 17.8903i 1.73602 + 0.819999i
\(477\) 44.5885 21.4727i 2.04157 0.983166i
\(478\) −7.39176 9.26897i −0.338091 0.423953i
\(479\) 16.7996i 0.767593i −0.923418 0.383797i \(-0.874616\pi\)
0.923418 0.383797i \(-0.125384\pi\)
\(480\) 20.1565 0.920014
\(481\) 6.27654 5.00537i 0.286185 0.228225i
\(482\) 14.1128 29.3056i 0.642821 1.33483i
\(483\) −62.7095 50.0091i −2.85338 2.27549i
\(484\) −25.0300 12.0538i −1.13773 0.547901i
\(485\) 3.11671 + 13.6552i 0.141523 + 0.620051i
\(486\) −75.7740 + 60.4277i −3.43718 + 2.74106i
\(487\) −15.6474 + 3.57142i −0.709053 + 0.161837i −0.561813 0.827264i \(-0.689896\pi\)
−0.147240 + 0.989101i \(0.547039\pi\)
\(488\) −3.21323 6.67233i −0.145456 0.302042i
\(489\) −10.4098 + 13.0534i −0.470746 + 0.590296i
\(490\) −11.7643 9.38175i −0.531459 0.423824i
\(491\) 7.01082 30.7164i 0.316394 1.38621i −0.527433 0.849596i \(-0.676846\pi\)
0.843827 0.536615i \(-0.180297\pi\)
\(492\) 3.82706 1.84302i 0.172537 0.0830896i
\(493\) 10.0839 12.8417i 0.454156 0.578362i
\(494\) −13.0403 + 57.1333i −0.586711 + 2.57055i
\(495\) 0.202798 0.888518i 0.00911511 0.0399359i
\(496\) −6.46698 + 13.4288i −0.290376 + 0.602972i
\(497\) 29.1274 14.0270i 1.30654 0.629198i
\(498\) 83.9214 + 19.1545i 3.76061 + 0.858334i
\(499\) −11.2809 8.99622i −0.505003 0.402726i 0.337577 0.941298i \(-0.390393\pi\)
−0.842580 + 0.538572i \(0.818964\pi\)
\(500\) 14.4235 + 11.5024i 0.645038 + 0.514401i
\(501\) −55.5624 + 26.7574i −2.48234 + 1.19543i
\(502\) −2.63755 11.5558i −0.117719 0.515762i
\(503\) 24.9087 19.8640i 1.11062 0.885691i 0.116418 0.993200i \(-0.462859\pi\)
0.994204 + 0.107509i \(0.0342874\pi\)
\(504\) −34.4106 + 7.85400i −1.53277 + 0.349845i
\(505\) −0.628517 + 1.30513i −0.0279686 + 0.0580775i
\(506\) 1.21941 1.52909i 0.0542093 0.0679763i
\(507\) 10.6427 22.0998i 0.472658 0.981485i
\(508\) −20.6413 25.8833i −0.915808 1.14839i
\(509\) −16.5408 −0.733158 −0.366579 0.930387i \(-0.619471\pi\)
−0.366579 + 0.930387i \(0.619471\pi\)
\(510\) 21.8277 + 4.80964i 0.966545 + 0.212974i
\(511\) 1.53380 + 1.92333i 0.0678514 + 0.0850829i
\(512\) −24.3524 + 11.7275i −1.07623 + 0.518287i
\(513\) −93.1515 21.2612i −4.11274 0.938706i
\(514\) 2.09977 + 9.19969i 0.0926169 + 0.405781i
\(515\) 3.88773i 0.171314i
\(516\) −34.7649 + 41.9631i −1.53044 + 1.84732i
\(517\) 1.08379i 0.0476649i
\(518\) 3.37374 + 14.7813i 0.148233 + 0.649453i
\(519\) 10.5406 46.1816i 0.462683 2.02715i
\(520\) 1.72030 + 3.57224i 0.0754401 + 0.156653i
\(521\) −2.58296 + 2.05984i −0.113162 + 0.0902433i −0.678436 0.734660i \(-0.737342\pi\)
0.565274 + 0.824903i \(0.308770\pi\)
\(522\) 65.5957i 2.87105i
\(523\) 29.6312 1.29568 0.647840 0.761776i \(-0.275672\pi\)
0.647840 + 0.761776i \(0.275672\pi\)
\(524\) −21.2371 + 16.9360i −0.927745 + 0.739852i
\(525\) 52.2350 + 25.1551i 2.27972 + 1.09786i
\(526\) 20.2272 25.3641i 0.881948 1.10593i
\(527\) −14.2865 + 18.1937i −0.622331 + 0.792530i
\(528\) 0.293098 + 1.28415i 0.0127555 + 0.0558853i
\(529\) −8.74640 10.9676i −0.380278 0.476854i
\(530\) 10.2360 2.33629i 0.444622 0.101482i
\(531\) 97.8396 47.1171i 4.24588 2.04471i
\(532\) −48.3334 38.5446i −2.09552 1.67112i
\(533\) −1.80810 1.44191i −0.0783175 0.0624561i
\(534\) −24.6025 5.61535i −1.06465 0.243000i
\(535\) −2.74679 + 1.32278i −0.118754 + 0.0571889i
\(536\) −8.93410 4.30243i −0.385894 0.185837i
\(537\) −5.85023 1.33528i −0.252456 0.0576214i
\(538\) 11.2944 + 2.57786i 0.486934 + 0.111140i
\(539\) 0.597123 1.23994i 0.0257199 0.0534079i
\(540\) −27.7690 + 13.3729i −1.19499 + 0.575476i
\(541\) 27.4353 + 6.26192i 1.17953 + 0.269221i 0.766955 0.641701i \(-0.221771\pi\)
0.412579 + 0.910922i \(0.364628\pi\)
\(542\) 18.0596 22.6460i 0.775725 0.972728i
\(543\) −1.89877 + 2.38099i −0.0814841 + 0.102178i
\(544\) −31.7588 + 7.50041i −1.36165 + 0.321578i
\(545\) 3.42774 + 15.0179i 0.146828 + 0.643296i
\(546\) 79.1465 + 99.2466i 3.38716 + 4.24736i
\(547\) −7.70448 + 1.75850i −0.329420 + 0.0751879i −0.384032 0.923320i \(-0.625465\pi\)
0.0546123 + 0.998508i \(0.482608\pi\)
\(548\) −8.95807 4.31398i −0.382670 0.184284i
\(549\) −39.8785 31.8021i −1.70197 1.35728i
\(550\) −0.613373 + 1.27368i −0.0261543 + 0.0543100i
\(551\) −18.8401 + 15.0245i −0.802615 + 0.640064i
\(552\) −22.5757 −0.960887
\(553\) −22.5193 −0.957620
\(554\) 18.6881 14.9032i 0.793980 0.633178i
\(555\) 1.96069 + 4.07142i 0.0832267 + 0.172822i
\(556\) −2.00835 0.458392i −0.0851729 0.0194402i
\(557\) 1.85496 + 8.12712i 0.0785973 + 0.344357i 0.998902 0.0468447i \(-0.0149166\pi\)
−0.920305 + 0.391202i \(0.872059\pi\)
\(558\) 92.9337i 3.93420i
\(559\) 28.7964 + 7.14040i 1.21796 + 0.302007i
\(560\) 8.27136 0.349529
\(561\) 0.0153710 + 2.04421i 0.000648963 + 0.0863066i
\(562\) 12.0714 52.8881i 0.509200 2.23095i
\(563\) 4.08908 1.96920i 0.172334 0.0829917i −0.345728 0.938335i \(-0.612368\pi\)
0.518062 + 0.855343i \(0.326654\pi\)
\(564\) 46.6336 37.1891i 1.96363 1.56594i
\(565\) 10.6245 0.446977
\(566\) 63.2095i 2.65690i
\(567\) −88.5439 + 70.6114i −3.71849 + 2.96540i
\(568\) 3.94810 8.19830i 0.165658 0.343993i
\(569\) −4.83094 + 6.05781i −0.202524 + 0.253956i −0.872713 0.488234i \(-0.837641\pi\)
0.670189 + 0.742190i \(0.266213\pi\)
\(570\) −29.7205 14.3126i −1.24485 0.599490i
\(571\) 5.00628 1.14265i 0.209506 0.0478184i −0.116480 0.993193i \(-0.537161\pi\)
0.325986 + 0.945375i \(0.394304\pi\)
\(572\) −1.35176 + 1.07799i −0.0565199 + 0.0450731i
\(573\) −18.0165 + 4.11214i −0.752648 + 0.171787i
\(574\) 3.93507 1.89503i 0.164247 0.0790970i
\(575\) 20.9256 + 16.6876i 0.872656 + 0.695920i
\(576\) 55.9594 70.1709i 2.33164 2.92379i
\(577\) 1.50409 6.58986i 0.0626162 0.274339i −0.933922 0.357477i \(-0.883637\pi\)
0.996538 + 0.0831377i \(0.0264941\pi\)
\(578\) −36.1816 + 0.544150i −1.50496 + 0.0226336i
\(579\) 21.7467 + 10.4726i 0.903761 + 0.435228i
\(580\) −1.72971 + 7.57837i −0.0718224 + 0.314675i
\(581\) 48.1995 + 11.0012i 1.99965 + 0.456408i
\(582\) 113.718 + 54.7637i 4.71376 + 2.27003i
\(583\) 0.416644 + 0.865171i 0.0172556 + 0.0358317i
\(584\) 0.675047 + 0.154075i 0.0279337 + 0.00637567i
\(585\) 21.3502 + 17.0262i 0.882722 + 0.703947i
\(586\) −38.0120 + 47.6656i −1.57026 + 1.96905i
\(587\) 21.0861 10.1545i 0.870316 0.419122i 0.0552378 0.998473i \(-0.482408\pi\)
0.815078 + 0.579351i \(0.196694\pi\)
\(588\) −73.8422 + 16.8540i −3.04520 + 0.695047i
\(589\) 26.6920 21.2861i 1.09982 0.877080i
\(590\) 22.4606 5.12648i 0.924688 0.211054i
\(591\) −33.0049 15.8943i −1.35764 0.653806i
\(592\) −3.68543 2.93903i −0.151470 0.120794i
\(593\) −7.63404 3.67636i −0.313493 0.150970i 0.270521 0.962714i \(-0.412804\pi\)
−0.584013 + 0.811744i \(0.698518\pi\)
\(594\) −3.14653 3.94562i −0.129104 0.161891i
\(595\) 12.5365 + 2.76238i 0.513948 + 0.113246i
\(596\) 12.7483 0.522190
\(597\) −14.8628 18.6374i −0.608294 0.762776i
\(598\) 25.4266 + 52.7988i 1.03977 + 2.15911i
\(599\) 0.828646 3.63054i 0.0338576 0.148340i −0.955174 0.296046i \(-0.904332\pi\)
0.989031 + 0.147706i \(0.0471890\pi\)
\(600\) 15.9091 3.63115i 0.649487 0.148241i
\(601\) 42.9630i 1.75250i −0.481860 0.876248i \(-0.660039\pi\)
0.481860 0.876248i \(-0.339961\pi\)
\(602\) −35.7461 + 43.1473i −1.45690 + 1.75855i
\(603\) −68.2966 −2.78125
\(604\) 5.03596 + 22.0640i 0.204910 + 0.897771i
\(605\) −8.30054 1.89454i −0.337465 0.0770241i
\(606\) 5.66384 + 11.7611i 0.230078 + 0.477761i
\(607\) −24.2174 + 19.3127i −0.982954 + 0.783880i −0.976372 0.216099i \(-0.930667\pi\)
−0.00658253 + 0.999978i \(0.502095\pi\)
\(608\) 48.1608 1.95318
\(609\) 52.1982i 2.11518i
\(610\) −6.74682 8.46025i −0.273171 0.342545i
\(611\) −29.2583 14.0900i −1.18366 0.570022i
\(612\) 63.1043 51.1050i 2.55084 2.06580i
\(613\) −13.3550 6.43142i −0.539403 0.259763i 0.144286 0.989536i \(-0.453911\pi\)
−0.683689 + 0.729773i \(0.739626\pi\)
\(614\) 3.17980 + 13.9316i 0.128326 + 0.562234i
\(615\) 1.01777 0.811648i 0.0410406 0.0327288i
\(616\) −0.152395 0.667686i −0.00614017 0.0269018i
\(617\) 20.9665 + 43.5374i 0.844079 + 1.75275i 0.631116 + 0.775688i \(0.282597\pi\)
0.212963 + 0.977060i \(0.431689\pi\)
\(618\) 27.3907 + 21.8434i 1.10182 + 0.878669i
\(619\) 5.23463 + 4.17448i 0.210397 + 0.167786i 0.723019 0.690829i \(-0.242754\pi\)
−0.512621 + 0.858615i \(0.671325\pi\)
\(620\) 2.45060 10.7368i 0.0984184 0.431199i
\(621\) −86.0844 + 41.4561i −3.45445 + 1.66358i
\(622\) −18.6742 + 38.7773i −0.748767 + 1.55483i
\(623\) −14.1302 3.22513i −0.566115 0.129212i
\(624\) −38.4778 8.78230i −1.54034 0.351573i
\(625\) −14.7204 7.08896i −0.588815 0.283558i
\(626\) 8.62905 + 17.9184i 0.344886 + 0.716164i
\(627\) 0.671355 2.94140i 0.0268114 0.117468i
\(628\) 11.9657 15.0045i 0.477482 0.598743i
\(629\) −4.60430 5.68538i −0.183585 0.226691i
\(630\) −46.4656 + 22.3767i −1.85124 + 0.891508i
\(631\) 6.37119 + 27.9140i 0.253633 + 1.11124i 0.927923 + 0.372772i \(0.121593\pi\)
−0.674290 + 0.738467i \(0.735550\pi\)
\(632\) −4.95554 + 3.95191i −0.197121 + 0.157199i
\(633\) −1.59458 6.98632i −0.0633790 0.277681i
\(634\) 9.85038 20.4545i 0.391209 0.812353i
\(635\) −7.93236 6.32584i −0.314786 0.251033i
\(636\) 22.9302 47.6150i 0.909241 1.88806i
\(637\) 25.7107 + 32.2402i 1.01870 + 1.27741i
\(638\) −1.27278 −0.0503900
\(639\) 62.6718i 2.47926i
\(640\) 5.28812 4.21714i 0.209031 0.166697i
\(641\) −11.7074 24.3107i −0.462415 0.960215i −0.993600 0.112959i \(-0.963967\pi\)
0.531184 0.847256i \(-0.321747\pi\)
\(642\) −6.11336 + 26.7844i −0.241275 + 1.05709i
\(643\) 21.8652 4.99059i 0.862280 0.196810i 0.231560 0.972821i \(-0.425617\pi\)
0.630720 + 0.776011i \(0.282760\pi\)
\(644\) −61.8204 −2.43607
\(645\) −7.52547 + 14.9086i −0.296315 + 0.587026i
\(646\) 52.1538 + 11.4919i 2.05196 + 0.452142i
\(647\) −0.397220 1.74033i −0.0156163 0.0684196i 0.966519 0.256594i \(-0.0826002\pi\)
−0.982136 + 0.188174i \(0.939743\pi\)
\(648\) −7.09314 + 31.0771i −0.278645 + 1.22082i
\(649\) 0.914234 + 1.89843i 0.0358868 + 0.0745198i
\(650\) −26.4105 33.1177i −1.03590 1.29898i
\(651\) 73.9526i 2.89843i
\(652\) 12.8684i 0.503964i
\(653\) 8.74479 6.97374i 0.342210 0.272904i −0.437270 0.899330i \(-0.644055\pi\)
0.779480 + 0.626427i \(0.215483\pi\)
\(654\) 125.066 + 60.2288i 4.89048 + 2.35513i
\(655\) −5.19031 + 6.50844i −0.202802 + 0.254306i
\(656\) −0.589184 + 1.22345i −0.0230038 + 0.0477678i
\(657\) 4.64935 1.06118i 0.181388 0.0414007i
\(658\) 47.9497 38.2386i 1.86927 1.49069i
\(659\) 10.4534 + 45.7991i 0.407205 + 1.78408i 0.596983 + 0.802254i \(0.296366\pi\)
−0.189778 + 0.981827i \(0.560777\pi\)
\(660\) −0.422268 0.876849i −0.0164368 0.0341313i
\(661\) 1.79866 2.25545i 0.0699597 0.0877267i −0.745620 0.666371i \(-0.767847\pi\)
0.815580 + 0.578644i \(0.196418\pi\)
\(662\) −32.7019 + 41.0069i −1.27100 + 1.59378i
\(663\) −55.3860 26.1613i −2.15101 1.01602i
\(664\) 12.5372 6.03762i 0.486539 0.234305i
\(665\) −17.0697 8.22034i −0.661935 0.318771i
\(666\) 28.6545 + 6.54020i 1.11034 + 0.253428i
\(667\) −5.36214 + 23.4931i −0.207623 + 0.909655i
\(668\) −20.6232 + 42.8245i −0.797936 + 1.65693i
\(669\) 33.3486 + 69.2491i 1.28933 + 2.67732i
\(670\) −14.1259 3.22414i −0.545730 0.124559i
\(671\) 0.617071 0.773782i 0.0238217 0.0298715i
\(672\) 65.0442 81.5628i 2.50913 3.14636i
\(673\) 9.39263 + 19.5040i 0.362059 + 0.751824i 0.999831 0.0184019i \(-0.00585783\pi\)
−0.637771 + 0.770226i \(0.720144\pi\)
\(674\) −23.7724 + 5.42589i −0.915678 + 0.208997i
\(675\) 53.9958 43.0602i 2.07830 1.65739i
\(676\) −4.20688 18.4316i −0.161803 0.708906i
\(677\) −8.62718 + 17.9145i −0.331569 + 0.688511i −0.998391 0.0567066i \(-0.981940\pi\)
0.666822 + 0.745217i \(0.267654\pi\)
\(678\) 59.6943 74.8543i 2.29255 2.87476i
\(679\) 65.3130 + 31.4531i 2.50648 + 1.20706i
\(680\) 3.24352 1.59215i 0.124383 0.0610562i
\(681\) −59.7973 −2.29144
\(682\) 1.80324 0.0690495
\(683\) 16.8660 13.4502i 0.645361 0.514658i −0.245229 0.969465i \(-0.578863\pi\)
0.890590 + 0.454807i \(0.150292\pi\)
\(684\) −107.975 + 51.9981i −4.12853 + 1.98820i
\(685\) −2.97070 0.678044i −0.113505 0.0259067i
\(686\) −17.6132 + 4.02010i −0.672476 + 0.153488i
\(687\) 54.1775i 2.06700i
\(688\) 0.325048 17.4176i 0.0123923 0.664039i
\(689\) −28.7731 −1.09617
\(690\) −32.1600 + 7.34031i −1.22431 + 0.279441i
\(691\) 1.03348 + 0.235885i 0.0393154 + 0.00897349i 0.242133 0.970243i \(-0.422153\pi\)
−0.202818 + 0.979216i \(0.565010\pi\)
\(692\) −15.8410 32.8941i −0.602183 1.25045i
\(693\) −2.94095 3.68783i −0.111717 0.140089i
\(694\) 42.4350i 1.61081i
\(695\) −0.631319 −0.0239473
\(696\) 9.16023 + 11.4866i 0.347218 + 0.435397i
\(697\) −1.30159 + 1.65756i −0.0493014 + 0.0627847i
\(698\) 19.1685 24.0365i 0.725537 0.909795i
\(699\) −23.7187 11.4223i −0.897125 0.432033i
\(700\) 43.5649 9.94339i 1.64660 0.375825i
\(701\) −8.75786 10.9820i −0.330780 0.414785i 0.588433 0.808546i \(-0.299745\pi\)
−0.919213 + 0.393761i \(0.871174\pi\)
\(702\) 147.425 33.6487i 5.56418 1.26999i
\(703\) 4.68477 + 9.72802i 0.176689 + 0.366899i
\(704\) 1.36156 + 1.08581i 0.0513157 + 0.0409229i
\(705\) 11.3972 14.2916i 0.429243 0.538253i
\(706\) −13.1241 + 57.5005i −0.493933 + 2.16406i
\(707\) 3.25298 + 6.75488i 0.122341 + 0.254043i
\(708\) 50.3152 104.481i 1.89096 3.92662i
\(709\) 24.1644 + 5.51537i 0.907513 + 0.207134i 0.650707 0.759329i \(-0.274473\pi\)
0.256806 + 0.966463i \(0.417330\pi\)
\(710\) 2.95861 12.9625i 0.111034 0.486474i
\(711\) −18.9413 + 39.3320i −0.710353 + 1.47506i
\(712\) −3.67543 + 1.76999i −0.137743 + 0.0663333i
\(713\) 7.59690 33.2842i 0.284506 1.24650i
\(714\) 89.8991 72.8047i 3.36439 2.72465i
\(715\) −0.330368 + 0.414268i −0.0123551 + 0.0154927i
\(716\) −4.16699 + 2.00671i −0.155728 + 0.0749944i
\(717\) −17.8300 + 4.06958i −0.665873 + 0.151981i
\(718\) 13.6352 + 17.0980i 0.508863 + 0.638094i
\(719\) −44.9927 + 10.2693i −1.67795 + 0.382980i −0.952318 0.305107i \(-0.901308\pi\)
−0.725628 + 0.688088i \(0.758450\pi\)
\(720\) 6.95713 14.4466i 0.259277 0.538394i
\(721\) 15.7316 + 12.5456i 0.585876 + 0.467221i
\(722\) −34.5747 16.6503i −1.28674 0.619660i
\(723\) −31.2845 39.2295i −1.16348 1.45896i
\(724\) 2.34723i 0.0872341i
\(725\) 17.4180i 0.646890i
\(726\) −59.9847 + 47.8362i −2.22624 + 1.77537i
\(727\) 16.0101 7.71006i 0.593782 0.285950i −0.112759 0.993622i \(-0.535969\pi\)
0.706541 + 0.707672i \(0.250255\pi\)
\(728\) 20.0063 + 4.56631i 0.741484 + 0.169239i
\(729\) 14.4353 + 63.2452i 0.534641 + 2.34242i
\(730\) 1.01173 0.0374457
\(731\) 6.30958 26.2905i 0.233368 0.972388i
\(732\) −54.4688 −2.01322
\(733\) −8.73197 38.2572i −0.322523 1.41306i −0.833048 0.553201i \(-0.813406\pi\)
0.510525 0.859863i \(-0.329451\pi\)
\(734\) −53.9756 12.3196i −1.99228 0.454724i
\(735\) −20.9134 + 10.0714i −0.771402 + 0.371487i
\(736\) 37.6534 30.0276i 1.38792 1.10683i
\(737\) 1.32519i 0.0488140i
\(738\) 8.46686i 0.311669i
\(739\) −12.7577 15.9977i −0.469300 0.588484i 0.489699 0.871891i \(-0.337107\pi\)
−0.959000 + 0.283408i \(0.908535\pi\)
\(740\) 3.13803 + 1.51120i 0.115356 + 0.0555527i
\(741\) 70.6789 + 56.3646i 2.59645 + 2.07060i
\(742\) 23.5773 48.9588i 0.865550 1.79733i
\(743\) 4.57467 1.04414i 0.167828 0.0383057i −0.137781 0.990463i \(-0.543997\pi\)
0.305609 + 0.952157i \(0.401140\pi\)
\(744\) −12.9779 16.2738i −0.475793 0.596626i
\(745\) 3.80896 0.869370i 0.139550 0.0318513i
\(746\) 11.1940 5.39074i 0.409841 0.197369i
\(747\) 59.7557 74.9313i 2.18635 2.74159i
\(748\) 0.991614 + 1.22444i 0.0362570 + 0.0447701i
\(749\) −3.51116 + 15.3834i −0.128295 + 0.562097i
\(750\) 45.9032 22.1058i 1.67615 0.807190i
\(751\) −0.424311 + 0.881092i −0.0154833 + 0.0321515i −0.908567 0.417739i \(-0.862823\pi\)
0.893084 + 0.449890i \(0.148537\pi\)
\(752\) −4.24305 + 18.5900i −0.154728 + 0.677908i
\(753\) −17.8263 4.06874i −0.649627 0.148273i
\(754\) 16.5472 34.3605i 0.602612 1.25134i
\(755\) 3.00931 + 6.24890i 0.109520 + 0.227421i
\(756\) −35.4965 + 155.520i −1.29100 + 5.65622i