Properties

Label 731.2.p.a.16.12
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 16.12
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.12

$q$-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} +(-1.81683 + 3.70123i) 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} +(8.54135 + 2.01719i) 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} +(-8.52050 + 10.5211i) 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} +(0.0784599 - 10.4345i) 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 0.995019 0.0996898i \(-0.0317850\pi\)
0.853227 + 0.521540i \(0.174642\pi\)
\(4\) −2.28018 + 1.09808i −1.14009 + 0.549039i
\(5\) 0.606394 0.483583i 0.271188 0.216265i −0.478448 0.878116i \(-0.658800\pi\)
0.749635 + 0.661851i \(0.230229\pi\)
\(6\) 6.98933i 2.85338i
\(7\) 4.01427i 1.51725i −0.651528 0.758625i \(-0.725872\pi\)
0.651528 0.758625i \(-0.274128\pi\)
\(8\) 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 −0.890859 0.454281i \(-0.849896\pi\)
0.910612 + 0.413262i \(0.135611\pi\)
\(12\) −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
\(17\) −1.81683 + 3.70123i −0.440646 + 0.897681i
\(18\) 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 \(0.361615\pi\)
−0.971705 + 0.236197i \(0.924099\pi\)
\(24\) 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 0.151530 0.988453i \(-0.451580\pi\)
0.565397 + 0.824819i \(0.308723\pi\)
\(30\) −3.37993 4.23829i −0.617087 0.773803i
\(31\) −5.46981 + 1.24845i −0.982406 + 0.224228i −0.683417 0.730029i \(-0.739507\pi\)
−0.298989 + 0.954256i \(0.596650\pi\)
\(32\) 7.13075 + 3.43399i 1.26055 + 0.607049i
\(33\) 0.309131 0.387638i 0.0538128 0.0674791i
\(34\) 8.54135 + 2.01719i 1.46483 + 0.345946i
\(35\) −1.94123 2.43423i −0.328128 0.411460i
\(36\) −19.6945 −3.28242
\(37\) 1.77438i 0.291706i −0.989306 0.145853i \(-0.953407\pi\)
0.989306 0.145853i \(-0.0465926\pi\)
\(38\) −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 −0.261257 0.965269i \(-0.584137\pi\)
0.183430 + 0.983033i \(0.441280\pi\)
\(42\) −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
\(51\) −8.52050 + 10.5211i −1.19311 + 1.47325i
\(52\) 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 0.611072 0.791575i \(-0.290739\pi\)
0.207105 + 0.978319i \(0.433596\pi\)
\(62\) 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 \(0.537246\pi\)
\(68\) 0.0784599 10.4345i 0.00951466 1.26537i
\(69\) −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 \(0.0157407\pi\)
−0.584081 + 0.811695i \(0.698545\pi\)
\(72\) 1.95652 + 8.57209i 0.230578 + 1.01023i
\(73\) −0.479123 + 0.382088i −0.0560771 + 0.0447200i −0.651127 0.758969i \(-0.725704\pi\)
0.595050 + 0.803689i \(0.297132\pi\)
\(74\) −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 \(-0.897802\pi\)
0.948900 0.315578i \(-0.102198\pi\)
\(80\) 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 \(0.512083\pi\)
−0.757607 + 0.652711i \(0.773631\pi\)
\(98\) 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 \(0.327523\pi\)
\(102\) 25.8692 + 12.6984i 2.56143 + 1.25733i
\(103\) 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 0.0332322 0.999448i \(-0.489420\pi\)
−0.403703 + 0.914890i \(0.632277\pi\)
\(108\) −38.7419 8.84259i −3.72794 0.850879i
\(109\) −8.61724 + 17.8939i −0.825382 + 1.71392i −0.134552 + 0.990907i \(0.542959\pi\)
−0.690830 + 0.723017i \(0.742755\pi\)
\(110\) −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 0.980566 0.196189i \(-0.0628567\pi\)
0.0269261 + 0.999637i \(0.491428\pi\)
\(114\) −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
\(119\) 14.8577 + 7.29324i 1.36201 + 0.668570i
\(120\) 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 −0.653663 0.756786i \(-0.726769\pi\)
−0.260573 + 0.965454i \(0.583911\pi\)
\(132\) −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 0.596129 0.802888i \(-0.296704\pi\)
−0.650107 + 0.759843i \(0.725276\pi\)
\(140\) 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
\(153\) −25.2353 + 19.8159i −2.04015 + 1.60202i
\(154\) −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 −0.969325 0.245783i \(-0.920955\pi\)
0.796525 + 0.604606i \(0.206669\pi\)
\(164\) 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 −0.996462 0.0840421i \(-0.973217\pi\)
−0.139799 + 0.990180i \(0.544646\pi\)
\(168\) 13.4181 6.46183i 1.03523 0.498541i
\(169\) −1.66227 + 7.28287i −0.127867 + 0.560221i
\(170\) 6.15491 2.90724i 0.472060 0.222975i
\(171\) 47.3537 3.62123
\(172\) 7.47831 14.8152i 0.570216 1.12965i
\(173\) 14.4261i 1.09679i −0.836218 0.548397i \(-0.815238\pi\)
0.836218 0.548397i \(-0.184762\pi\)
\(174\) −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 −0.915389 0.402571i \(-0.868117\pi\)
0.885478 + 0.464681i \(0.153831\pi\)
\(182\) 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
\(187\) 0.384497 + 0.489652i 0.0281172 + 0.0358069i
\(188\) −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 0.472521 0.881320i \(-0.343344\pi\)
0.0433360 + 0.999061i \(0.486201\pi\)
\(194\) 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 −0.183271 0.983062i \(-0.558669\pi\)
−0.591656 + 0.806190i \(0.701526\pi\)
\(198\) −1.95548 1.55944i −0.138970 0.110825i
\(199\) −5.67592 4.52640i −0.402356 0.320868i 0.401317 0.915939i \(-0.368552\pi\)
−0.803673 + 0.595071i \(0.797124\pi\)
\(200\) −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
\(204\) 7.87531 33.3462i 0.551382 2.33470i
\(205\) −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 0.865830 0.500339i \(-0.166791\pi\)
−0.931017 + 0.364977i \(0.881077\pi\)
\(212\) −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 −0.766487 0.642260i \(-0.777997\pi\)
−0.411915 + 0.911222i \(0.635140\pi\)
\(228\) −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 −0.0413243 0.999146i \(-0.513158\pi\)
−0.470745 + 0.882269i \(0.656015\pi\)
\(234\) −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
\(238\) 8.09756 34.2873i 0.524887 2.22251i
\(239\) 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 0.157955 0.987446i \(-0.449510\pi\)
−0.927541 + 0.373722i \(0.878081\pi\)
\(242\) 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
\(255\) −0.0789547 + 10.5003i −0.00494434 + 0.657555i
\(256\) −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 −0.816492 0.577357i \(-0.804084\pi\)
0.960470 + 0.278382i \(0.0897983\pi\)
\(270\) −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 \(0.650087\pi\)
\(272\) −4.67821 9.90423i −0.283658 0.600532i
\(273\) −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 0.701775 0.712398i \(-0.252391\pi\)
−0.994525 + 0.104497i \(0.966677\pi\)
\(278\) −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 −0.755880 0.654710i \(-0.772791\pi\)
−0.965092 + 0.261909i \(0.915648\pi\)
\(284\) −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
\(289\) −10.3983 13.4490i −0.611662 0.791119i
\(290\) −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
\(306\) 53.0747 + 42.9825i 3.03408 + 2.45714i
\(307\) −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 0.959072 0.283162i \(-0.0913833\pi\)
−0.0626487 + 0.998036i \(0.519955\pi\)
\(312\) 7.28299 15.1233i 0.412318 0.856188i
\(313\) 9.10907 2.07909i 0.514875 0.117517i 0.0428147 0.999083i \(-0.486368\pi\)
0.472061 + 0.881566i \(0.343510\pi\)
\(314\) 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 0.360687 0.932687i \(-0.382542\pi\)
−0.829042 + 0.559186i \(0.811114\pi\)
\(318\) −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
\(323\) −0.188650 + 25.0888i −0.0104968 + 1.39598i
\(324\) −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 \(0.101002\pi\)
−0.950079 + 0.312009i \(0.898998\pi\)
\(338\) 15.9008 0.864887
\(339\) 28.0443 + 35.1665i 1.52316 + 1.90998i
\(340\) −4.99838 6.36537i −0.271075 0.345211i
\(341\) −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 0.709674 0.704530i \(-0.248842\pi\)
0.333710 + 0.942676i \(0.391699\pi\)
\(348\) −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
\(357\) 42.2345 + 34.2035i 2.23529 + 1.81024i
\(358\) −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 \(0.380379\pi\)
−0.956103 + 0.293032i \(0.905336\pi\)
\(368\) −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 \(0.880286\pi\)
\(374\) 0.834009 1.02983i 0.0431256 0.0532514i
\(375\) 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 0.102263 0.994757i \(-0.467392\pi\)
0.992572 + 0.121655i \(0.0388203\pi\)
\(380\) 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
\(391\) −15.4951 19.7328i −0.783619 0.997928i
\(392\) −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 \(-0.949851\pi\)
−0.372729 0.927940i \(-0.621578\pi\)
\(398\) −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 −0.0882709 0.996097i \(-0.528134\pi\)
0.352661 + 0.935751i \(0.385277\pi\)
\(402\) 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
\(408\) −15.2964 0.115018i −0.757283 0.00569422i
\(409\) −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 \(-0.487320\pi\)
0.756382 0.654130i \(-0.226965\pi\)
\(420\) 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
\(425\) −14.0933 11.4134i −0.683623 0.553631i
\(426\) 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 \(0.280487\pi\)
−0.636243 + 0.771488i \(0.719513\pi\)
\(432\) −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 \(-0.685412\pi\)
0.995889 0.0905844i \(-0.0288735\pi\)
\(440\) 0.0825021 0.103454i 0.00393313 0.00493199i
\(441\) −63.9029 30.7740i −3.04299 1.46543i
\(442\) −16.9590 35.9038i −0.806656 1.70777i
\(443\) −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 0.987939 0.154843i \(-0.0494873\pi\)
−0.737031 + 0.675859i \(0.763773\pi\)
\(450\) 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
\(459\) −58.5384 + 27.6503i −2.73234 + 1.29061i
\(460\) −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
\(476\) −41.8869 0.314959i −1.91988 0.0144361i
\(477\) 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 \(0.125384\pi\)
−0.923418 + 0.383797i \(0.874616\pi\)
\(480\) 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 0.147240 0.989101i \(-0.452961\pi\)
0.561813 + 0.827264i \(0.310104\pi\)
\(488\) 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
\(493\) −3.75285 + 15.8906i −0.169020 + 0.715676i
\(494\) −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 0.842580 0.538572i \(-0.181036\pi\)
−0.337577 + 0.941298i \(0.609607\pi\)
\(500\) −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 −0.994204 0.107509i \(-0.965713\pi\)
−0.116418 + 0.993200i \(0.537141\pi\)
\(504\) 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 −0.565274 0.824903i \(-0.691230\pi\)
0.678436 + 0.734660i \(0.262658\pi\)
\(522\) 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
\(527\) 5.31691 22.5132i 0.231608 0.980692i
\(528\) 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 −0.412579 0.910922i \(-0.635372\pi\)
−0.766955 + 0.641701i \(0.778229\pi\)
\(542\) 18.0596 22.6460i 0.775725 0.972728i
\(543\) −1.89877 + 2.38099i −0.0814841 + 0.102178i
\(544\) −25.6653 + 20.1536i −1.10039 + 0.864078i
\(545\) 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 −0.0546123 0.998508i \(-0.517392\pi\)
0.384032 + 0.923320i \(0.374535\pi\)
\(548\) −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
\(561\) 0.873101 + 1.84844i 0.0368623 + 0.0780411i
\(562\) 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 −0.325986 0.945375i \(-0.605696\pi\)
0.116480 + 0.993193i \(0.462839\pi\)
\(572\) 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 \(0.0264941\pi\)
\(578\) −22.9843 + 27.9486i −0.956021 + 1.16251i
\(579\) 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 \(0.339961\pi\)
−0.481860 + 0.876248i \(0.660039\pi\)
\(602\) 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 0.00658253 0.999978i \(-0.497905\pi\)
0.976372 + 0.216099i \(0.0693333\pi\)
\(608\) 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
\(612\) 35.7816 72.8941i 1.44639 2.94657i
\(613\) −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 \(-0.717403\pi\)
−0.212963 0.977060i \(-0.568311\pi\)
\(618\) −27.3907 21.8434i −1.10182 0.878669i
\(619\) −5.23463 4.17448i −0.210397 0.167786i 0.512621 0.858615i \(-0.328675\pi\)
−0.723019 + 0.690829i \(0.757246\pi\)
\(620\) 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
\(629\) 6.56739 + 3.22374i 0.261859 + 0.128539i
\(630\) −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 \(0.0360328\pi\)
−0.531184 + 0.847256i \(0.678253\pi\)
\(642\) −6.11336 + 26.7844i −0.241275 + 1.05709i
\(643\) −21.8652 + 4.99059i −0.862280 + 0.196810i −0.630720 0.776011i \(-0.717240\pi\)
−0.231560 + 0.972821i \(0.574383\pi\)
\(644\) −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 −0.779480 0.626427i \(-0.784517\pi\)
0.437270 + 0.899330i \(0.355945\pi\)
\(654\) 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
\(663\) 61.2520 + 0.460571i 2.37883 + 0.0178871i
\(664\) 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 0.637771 0.770226i \(-0.279856\pi\)
−0.999831 + 0.0184019i \(0.994142\pi\)
\(674\) 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 −0.666822 0.745217i \(-0.732346\pi\)
0.998391 + 0.0567066i \(0.0180600\pi\)
\(678\) 59.6943 74.8543i 2.29255 2.87476i
\(679\) 65.3130 + 31.4531i 2.50648 + 1.20706i
\(680\) −2.27398 + 2.80791i −0.0872033 + 0.107678i
\(681\) −59.7973 −2.29144
\(682\) 1.80324 0.0690495
\(683\) −16.8660 + 13.4502i −0.645361 + 0.514658i −0.890590 0.454807i \(-0.849708\pi\)
0.245229 + 0.969465i \(0.421137\pi\)
\(684\) −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 0.202818 0.979216i \(-0.434990\pi\)
−0.242133 + 0.970243i \(0.577847\pi\)
\(692\) 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
\(697\) 0.484405 2.05110i 0.0183481 0.0776910i
\(698\) 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 −0.256806 0.966463i \(-0.582670\pi\)
−0.650707 + 0.759329i \(0.725527\pi\)
\(710\) 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
\(714\) 50.9749 103.846i 1.90769 3.88633i
\(715\) −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 0.725628 0.688088i \(-0.241550\pi\)
0.952318 + 0.305107i \(0.0986924\pi\)
\(720\) −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
\(731\) −5.32426 26.5076i −0.196925 0.980419i
\(732\) −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 −0.305609 0.952157i \(-0.598860\pi\)
0.137781 + 0.990463i \(0.456003\pi\)
\(744\) −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
\(748\) −1.41440 0.694288i −0.0517155 0.0253857i
\(749\) −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 −0.893084 0.449890i \(-0.851463\pi\)
0.908567 + 0.417739i \(0.137177\pi\)
\(752\) −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 +