Properties

Label 280.2.ba.b.19.12
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.12
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.931410 - 1.06418i) q^{2} +(1.60233 + 2.77531i) q^{3} +(-0.264952 + 1.98237i) q^{4} +(2.12896 + 0.683763i) q^{5} +(1.46101 - 4.29012i) q^{6} +(2.23600 - 1.41432i) q^{7} +(2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +O(q^{10})\) \(q+(-0.931410 - 1.06418i) q^{2} +(1.60233 + 2.77531i) q^{3} +(-0.264952 + 1.98237i) q^{4} +(2.12896 + 0.683763i) q^{5} +(1.46101 - 4.29012i) q^{6} +(2.23600 - 1.41432i) q^{7} +(2.35638 - 1.56444i) q^{8} +(-3.63491 + 6.29586i) q^{9} +(-1.25529 - 2.90246i) q^{10} +(-1.23701 - 2.14257i) q^{11} +(-5.92625 + 2.44109i) q^{12} -2.90697i q^{13} +(-3.58772 - 1.06219i) q^{14} +(1.51364 + 7.00414i) q^{15} +(-3.85960 - 1.05047i) q^{16} +(1.21515 + 2.10471i) q^{17} +(10.0855 - 1.99582i) q^{18} +(-3.38329 - 1.95334i) q^{19} +(-1.91954 + 4.03923i) q^{20} +(7.50799 + 3.93940i) q^{21} +(-1.12791 + 3.31201i) q^{22} +(-2.86568 + 4.96350i) q^{23} +(8.11752 + 4.03293i) q^{24} +(4.06494 + 2.91141i) q^{25} +(-3.09353 + 2.70758i) q^{26} -13.6833 q^{27} +(2.21128 + 4.80731i) q^{28} -4.71148i q^{29} +(6.04385 - 8.13451i) q^{30} +(-3.92617 - 6.80032i) q^{31} +(2.47699 + 5.08572i) q^{32} +(3.96419 - 6.86619i) q^{33} +(1.10798 - 3.25349i) q^{34} +(5.72741 - 1.48213i) q^{35} +(-11.5177 - 8.87385i) q^{36} +(1.67865 - 2.90751i) q^{37} +(1.07252 + 5.41978i) q^{38} +(8.06775 - 4.65792i) q^{39} +(6.08634 - 1.71944i) q^{40} +5.75850i q^{41} +(-2.80079 - 11.6590i) q^{42} +0.763818i q^{43} +(4.57511 - 1.88454i) q^{44} +(-12.0435 + 10.9182i) q^{45} +(7.95117 - 1.57346i) q^{46} +(-2.86896 - 1.65640i) q^{47} +(-3.26897 - 12.3948i) q^{48} +(2.99940 - 6.32484i) q^{49} +(-0.687865 - 7.03753i) q^{50} +(-3.89415 + 6.74487i) q^{51} +(5.76269 + 0.770206i) q^{52} +(-0.474139 - 0.821232i) q^{53} +(12.7448 + 14.5615i) q^{54} +(-1.16854 - 5.40726i) q^{55} +(3.05624 - 6.83077i) q^{56} -12.5196i q^{57} +(-5.01386 + 4.38832i) q^{58} +(-6.41474 + 3.70355i) q^{59} +(-14.2859 + 1.14483i) q^{60} +(-0.145254 + 0.251587i) q^{61} +(-3.57989 + 10.5120i) q^{62} +(0.776680 + 19.2185i) q^{63} +(3.10502 - 7.37284i) q^{64} +(1.98768 - 6.18882i) q^{65} +(-10.9991 + 2.17662i) q^{66} +(4.12005 - 2.37871i) q^{67} +(-4.49427 + 1.85124i) q^{68} -18.3670 q^{69} +(-6.91182 - 4.71452i) q^{70} +7.87114i q^{71} +(1.28429 + 20.5220i) q^{72} +(0.915891 + 1.58637i) q^{73} +(-4.65762 + 0.921698i) q^{74} +(-1.56671 + 15.9465i) q^{75} +(4.76866 - 6.18939i) q^{76} +(-5.79623 - 3.04125i) q^{77} +(-12.4712 - 4.24710i) q^{78} +(-1.69463 - 0.978393i) q^{79} +(-7.49866 - 4.87545i) q^{80} +(-11.0205 - 19.0880i) q^{81} +(6.12808 - 5.36353i) q^{82} +6.61627 q^{83} +(-9.79862 + 13.8399i) q^{84} +(1.14789 + 5.31172i) q^{85} +(0.812839 - 0.711428i) q^{86} +(13.0758 - 7.54934i) q^{87} +(-6.26679 - 3.11346i) q^{88} +(3.72584 + 2.15111i) q^{89} +(22.8363 + 2.64707i) q^{90} +(-4.11138 - 6.49998i) q^{91} +(-9.08023 - 6.99593i) q^{92} +(12.5820 - 21.7927i) q^{93} +(0.909478 + 4.59587i) q^{94} +(-5.86726 - 6.47195i) q^{95} +(-10.1455 + 15.0234i) q^{96} +15.9453 q^{97} +(-9.52443 + 2.69912i) q^{98} +17.9857 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.931410 1.06418i −0.658606 0.752488i
\(3\) 1.60233 + 2.77531i 0.925105 + 1.60233i 0.791392 + 0.611308i \(0.209356\pi\)
0.133712 + 0.991020i \(0.457310\pi\)
\(4\) −0.264952 + 1.98237i −0.132476 + 0.991186i
\(5\) 2.12896 + 0.683763i 0.952100 + 0.305788i
\(6\) 1.46101 4.29012i 0.596453 1.75143i
\(7\) 2.23600 1.41432i 0.845129 0.534562i
\(8\) 2.35638 1.56444i 0.833105 0.553115i
\(9\) −3.63491 + 6.29586i −1.21164 + 2.09862i
\(10\) −1.25529 2.90246i −0.396957 0.917837i
\(11\) −1.23701 2.14257i −0.372973 0.646008i 0.617049 0.786925i \(-0.288328\pi\)
−0.990021 + 0.140917i \(0.954995\pi\)
\(12\) −5.92625 + 2.44109i −1.71076 + 0.704681i
\(13\) 2.90697i 0.806248i −0.915145 0.403124i \(-0.867924\pi\)
0.915145 0.403124i \(-0.132076\pi\)
\(14\) −3.58772 1.06219i −0.958859 0.283883i
\(15\) 1.51364 + 7.00414i 0.390819 + 1.80846i
\(16\) −3.85960 1.05047i −0.964900 0.262617i
\(17\) 1.21515 + 2.10471i 0.294718 + 0.510467i 0.974919 0.222559i \(-0.0714409\pi\)
−0.680201 + 0.733026i \(0.738108\pi\)
\(18\) 10.0855 1.99582i 2.37718 0.470420i
\(19\) −3.38329 1.95334i −0.776179 0.448127i 0.0588952 0.998264i \(-0.481242\pi\)
−0.835075 + 0.550137i \(0.814576\pi\)
\(20\) −1.91954 + 4.03923i −0.429223 + 0.903198i
\(21\) 7.50799 + 3.93940i 1.63838 + 0.859648i
\(22\) −1.12791 + 3.31201i −0.240471 + 0.706122i
\(23\) −2.86568 + 4.96350i −0.597535 + 1.03496i 0.395649 + 0.918402i \(0.370520\pi\)
−0.993184 + 0.116559i \(0.962814\pi\)
\(24\) 8.11752 + 4.03293i 1.65698 + 0.823219i
\(25\) 4.06494 + 2.91141i 0.812987 + 0.582281i
\(26\) −3.09353 + 2.70758i −0.606692 + 0.531000i
\(27\) −13.6833 −2.63336
\(28\) 2.21128 + 4.80731i 0.417892 + 0.908497i
\(29\) 4.71148i 0.874900i −0.899243 0.437450i \(-0.855882\pi\)
0.899243 0.437450i \(-0.144118\pi\)
\(30\) 6.04385 8.13451i 1.10345 1.48515i
\(31\) −3.92617 6.80032i −0.705161 1.22137i −0.966634 0.256163i \(-0.917542\pi\)
0.261473 0.965211i \(-0.415792\pi\)
\(32\) 2.47699 + 5.08572i 0.437873 + 0.899037i
\(33\) 3.96419 6.86619i 0.690078 1.19525i
\(34\) 1.10798 3.25349i 0.190017 0.557968i
\(35\) 5.72741 1.48213i 0.968110 0.250526i
\(36\) −11.5177 8.87385i −1.91961 1.47898i
\(37\) 1.67865 2.90751i 0.275969 0.477991i −0.694411 0.719579i \(-0.744335\pi\)
0.970379 + 0.241588i \(0.0776681\pi\)
\(38\) 1.07252 + 5.41978i 0.173986 + 0.879205i
\(39\) 8.06775 4.65792i 1.29187 0.745864i
\(40\) 6.08634 1.71944i 0.962335 0.271867i
\(41\) 5.75850i 0.899327i 0.893198 + 0.449664i \(0.148456\pi\)
−0.893198 + 0.449664i \(0.851544\pi\)
\(42\) −2.80079 11.6590i −0.432171 1.79903i
\(43\) 0.763818i 0.116481i 0.998303 + 0.0582406i \(0.0185491\pi\)
−0.998303 + 0.0582406i \(0.981451\pi\)
\(44\) 4.57511 1.88454i 0.689724 0.284105i
\(45\) −12.0435 + 10.9182i −1.79533 + 1.62759i
\(46\) 7.95117 1.57346i 1.17234 0.231994i
\(47\) −2.86896 1.65640i −0.418481 0.241610i 0.275946 0.961173i \(-0.411009\pi\)
−0.694427 + 0.719563i \(0.744342\pi\)
\(48\) −3.26897 12.3948i −0.471836 1.78904i
\(49\) 2.99940 6.32484i 0.428486 0.903548i
\(50\) −0.687865 7.03753i −0.0972787 0.995257i
\(51\) −3.89415 + 6.74487i −0.545290 + 0.944471i
\(52\) 5.76269 + 0.770206i 0.799142 + 0.106808i
\(53\) −0.474139 0.821232i −0.0651280 0.112805i 0.831623 0.555341i \(-0.187412\pi\)
−0.896751 + 0.442536i \(0.854079\pi\)
\(54\) 12.7448 + 14.5615i 1.73435 + 1.98157i
\(55\) −1.16854 5.40726i −0.157566 0.729114i
\(56\) 3.05624 6.83077i 0.408407 0.912800i
\(57\) 12.5196i 1.65826i
\(58\) −5.01386 + 4.38832i −0.658352 + 0.576215i
\(59\) −6.41474 + 3.70355i −0.835128 + 0.482161i −0.855605 0.517629i \(-0.826815\pi\)
0.0204773 + 0.999790i \(0.493481\pi\)
\(60\) −14.2859 + 1.14483i −1.84430 + 0.147797i
\(61\) −0.145254 + 0.251587i −0.0185978 + 0.0322124i −0.875175 0.483807i \(-0.839254\pi\)
0.856577 + 0.516020i \(0.172587\pi\)
\(62\) −3.57989 + 10.5120i −0.454646 + 1.33503i
\(63\) 0.776680 + 19.2185i 0.0978524 + 2.42130i
\(64\) 3.10502 7.37284i 0.388128 0.921605i
\(65\) 1.98768 6.18882i 0.246541 0.767628i
\(66\) −10.9991 + 2.17662i −1.35390 + 0.267924i
\(67\) 4.12005 2.37871i 0.503344 0.290606i −0.226749 0.973953i \(-0.572810\pi\)
0.730094 + 0.683347i \(0.239476\pi\)
\(68\) −4.49427 + 1.85124i −0.545011 + 0.224496i
\(69\) −18.3670 −2.21113
\(70\) −6.91182 4.71452i −0.826121 0.563493i
\(71\) 7.87114i 0.934132i 0.884222 + 0.467066i \(0.154689\pi\)
−0.884222 + 0.467066i \(0.845311\pi\)
\(72\) 1.28429 + 20.5220i 0.151355 + 2.41854i
\(73\) 0.915891 + 1.58637i 0.107197 + 0.185671i 0.914634 0.404284i \(-0.132479\pi\)
−0.807437 + 0.589954i \(0.799146\pi\)
\(74\) −4.65762 + 0.921698i −0.541437 + 0.107145i
\(75\) −1.56671 + 15.9465i −0.180908 + 1.84134i
\(76\) 4.76866 6.18939i 0.547003 0.709972i
\(77\) −5.79623 3.04125i −0.660541 0.346583i
\(78\) −12.4712 4.24710i −1.41209 0.480889i
\(79\) −1.69463 0.978393i −0.190660 0.110078i 0.401631 0.915801i \(-0.368443\pi\)
−0.592292 + 0.805724i \(0.701777\pi\)
\(80\) −7.49866 4.87545i −0.838376 0.545092i
\(81\) −11.0205 19.0880i −1.22449 2.12089i
\(82\) 6.12808 5.36353i 0.676733 0.592302i
\(83\) 6.61627 0.726230 0.363115 0.931744i \(-0.381713\pi\)
0.363115 + 0.931744i \(0.381713\pi\)
\(84\) −9.79862 + 13.8399i −1.06912 + 1.51005i
\(85\) 1.14789 + 5.31172i 0.124506 + 0.576137i
\(86\) 0.812839 0.711428i 0.0876507 0.0767153i
\(87\) 13.0758 7.54934i 1.40188 0.809374i
\(88\) −6.26679 3.11346i −0.668042 0.331896i
\(89\) 3.72584 + 2.15111i 0.394938 + 0.228018i 0.684298 0.729203i \(-0.260109\pi\)
−0.289359 + 0.957221i \(0.593442\pi\)
\(90\) 22.8363 + 2.64707i 2.40716 + 0.279026i
\(91\) −4.11138 6.49998i −0.430990 0.681383i
\(92\) −9.08023 6.99593i −0.946680 0.729376i
\(93\) 12.5820 21.7927i 1.30469 2.25980i
\(94\) 0.909478 + 4.59587i 0.0938055 + 0.474028i
\(95\) −5.86726 6.47195i −0.601968 0.664008i
\(96\) −10.1455 + 15.0234i −1.03547 + 1.53332i
\(97\) 15.9453 1.61900 0.809498 0.587123i \(-0.199739\pi\)
0.809498 + 0.587123i \(0.199739\pi\)
\(98\) −9.52443 + 2.69912i −0.962113 + 0.272652i
\(99\) 17.9857 1.80763
\(100\) −6.84851 + 7.28684i −0.684851 + 0.728684i
\(101\) −6.08259 10.5354i −0.605240 1.04831i −0.992013 0.126132i \(-0.959744\pi\)
0.386773 0.922175i \(-0.373590\pi\)
\(102\) 10.8048 2.13816i 1.06983 0.211710i
\(103\) −10.9386 6.31541i −1.07781 0.622276i −0.147507 0.989061i \(-0.547125\pi\)
−0.930306 + 0.366785i \(0.880458\pi\)
\(104\) −4.54779 6.84991i −0.445948 0.671689i
\(105\) 13.2906 + 13.5205i 1.29703 + 1.31947i
\(106\) −0.432320 + 1.26947i −0.0419907 + 0.123302i
\(107\) −8.49616 4.90526i −0.821355 0.474209i 0.0295287 0.999564i \(-0.490599\pi\)
−0.850883 + 0.525355i \(0.823933\pi\)
\(108\) 3.62542 27.1255i 0.348857 2.61015i
\(109\) 2.87979 1.66265i 0.275834 0.159253i −0.355702 0.934599i \(-0.615758\pi\)
0.631536 + 0.775347i \(0.282425\pi\)
\(110\) −4.66590 + 6.27990i −0.444876 + 0.598765i
\(111\) 10.7590 1.02120
\(112\) −10.1158 + 3.10986i −0.955850 + 0.293855i
\(113\) 6.24090i 0.587095i 0.955945 + 0.293547i \(0.0948358\pi\)
−0.955945 + 0.293547i \(0.905164\pi\)
\(114\) −13.3231 + 11.6609i −1.24782 + 1.09214i
\(115\) −9.49476 + 8.60764i −0.885391 + 0.802667i
\(116\) 9.33991 + 1.24832i 0.867189 + 0.115903i
\(117\) 18.3018 + 10.5666i 1.69201 + 0.976880i
\(118\) 9.91599 + 3.37690i 0.912841 + 0.310869i
\(119\) 5.69382 + 2.98751i 0.521951 + 0.273865i
\(120\) 14.5243 + 14.1364i 1.32588 + 1.29047i
\(121\) 2.43961 4.22553i 0.221783 0.384139i
\(122\) 0.403024 0.0797546i 0.0364881 0.00722064i
\(123\) −15.9817 + 9.22701i −1.44102 + 0.831972i
\(124\) 14.5210 5.98137i 1.30403 0.537143i
\(125\) 6.66337 + 8.97772i 0.595990 + 0.802992i
\(126\) 19.7285 18.7268i 1.75755 1.66832i
\(127\) 17.2612 1.53169 0.765843 0.643027i \(-0.222322\pi\)
0.765843 + 0.643027i \(0.222322\pi\)
\(128\) −10.7381 + 3.56284i −0.949120 + 0.314913i
\(129\) −2.11984 + 1.22389i −0.186641 + 0.107757i
\(130\) −8.43735 + 3.64908i −0.740004 + 0.320046i
\(131\) 1.77736 + 1.02616i 0.155289 + 0.0896562i 0.575631 0.817710i \(-0.304757\pi\)
−0.420342 + 0.907366i \(0.638090\pi\)
\(132\) 12.5610 + 9.67772i 1.09330 + 0.842337i
\(133\) −10.3277 + 0.417375i −0.895524 + 0.0361910i
\(134\) −6.36883 2.16891i −0.550183 0.187366i
\(135\) −29.1313 9.35616i −2.50722 0.805250i
\(136\) 6.15606 + 3.05845i 0.527878 + 0.262259i
\(137\) −7.40950 + 4.27788i −0.633036 + 0.365484i −0.781927 0.623370i \(-0.785763\pi\)
0.148891 + 0.988854i \(0.452430\pi\)
\(138\) 17.1072 + 19.5458i 1.45626 + 1.66385i
\(139\) 13.3454i 1.13194i −0.824426 0.565970i \(-0.808502\pi\)
0.824426 0.565970i \(-0.191498\pi\)
\(140\) 1.42065 + 11.7466i 0.120067 + 0.992766i
\(141\) 10.6164i 0.894059i
\(142\) 8.37629 7.33125i 0.702923 0.615225i
\(143\) −6.22837 + 3.59595i −0.520842 + 0.300708i
\(144\) 20.6429 20.4811i 1.72024 1.70676i
\(145\) 3.22154 10.0306i 0.267534 0.832992i
\(146\) 0.835111 2.45223i 0.0691143 0.202948i
\(147\) 22.3594 1.81019i 1.84418 0.149302i
\(148\) 5.31900 + 4.09806i 0.437219 + 0.336859i
\(149\) 10.0494 + 5.80204i 0.823281 + 0.475321i 0.851547 0.524279i \(-0.175665\pi\)
−0.0282658 + 0.999600i \(0.508998\pi\)
\(150\) 18.4292 13.1855i 1.50474 1.07659i
\(151\) −13.4070 + 7.74053i −1.09104 + 0.629915i −0.933854 0.357653i \(-0.883577\pi\)
−0.157190 + 0.987568i \(0.550244\pi\)
\(152\) −11.0282 + 0.690157i −0.894505 + 0.0559791i
\(153\) −17.6679 −1.42837
\(154\) 2.16223 + 9.00087i 0.174238 + 0.725311i
\(155\) −3.70884 17.1622i −0.297902 1.37850i
\(156\) 7.09616 + 17.2274i 0.568148 + 1.37930i
\(157\) −1.73719 + 1.00296i −0.138643 + 0.0800453i −0.567717 0.823224i \(-0.692173\pi\)
0.429074 + 0.903269i \(0.358840\pi\)
\(158\) 0.537207 + 2.71467i 0.0427379 + 0.215967i
\(159\) 1.51945 2.63177i 0.120500 0.208713i
\(160\) 1.79598 + 12.5210i 0.141984 + 0.989869i
\(161\) 0.612315 + 15.1514i 0.0482572 + 1.19409i
\(162\) −10.0485 + 29.5065i −0.789482 + 2.31825i
\(163\) 14.2898 + 8.25020i 1.11926 + 0.646205i 0.941212 0.337816i \(-0.109688\pi\)
0.178048 + 0.984022i \(0.443022\pi\)
\(164\) −11.4155 1.52573i −0.891401 0.119139i
\(165\) 13.1345 11.9073i 1.02252 0.926979i
\(166\) −6.16246 7.04090i −0.478300 0.546480i
\(167\) 4.67196i 0.361527i 0.983527 + 0.180763i \(0.0578568\pi\)
−0.983527 + 0.180763i \(0.942143\pi\)
\(168\) 23.8546 2.46312i 1.84042 0.190034i
\(169\) 4.54954 0.349965
\(170\) 4.58346 6.16895i 0.351535 0.473137i
\(171\) 24.5959 14.2005i 1.88090 1.08594i
\(172\) −1.51417 0.202375i −0.115455 0.0154310i
\(173\) 6.44746 + 3.72244i 0.490191 + 0.283012i 0.724654 0.689113i \(-0.242000\pi\)
−0.234463 + 0.972125i \(0.575333\pi\)
\(174\) −20.2128 6.88350i −1.53233 0.521837i
\(175\) 13.2069 + 0.760790i 0.998345 + 0.0575103i
\(176\) 2.52367 + 9.56888i 0.190229 + 0.721282i
\(177\) −20.5570 11.8686i −1.54516 0.892099i
\(178\) −1.18111 5.96853i −0.0885282 0.447360i
\(179\) −4.86291 8.42281i −0.363471 0.629550i 0.625059 0.780578i \(-0.285075\pi\)
−0.988530 + 0.151028i \(0.951742\pi\)
\(180\) −18.4530 26.7674i −1.37541 1.99513i
\(181\) −5.72502 −0.425537 −0.212769 0.977103i \(-0.568248\pi\)
−0.212769 + 0.977103i \(0.568248\pi\)
\(182\) −3.08776 + 10.4294i −0.228880 + 0.773078i
\(183\) −0.930977 −0.0688198
\(184\) 1.01250 + 16.1791i 0.0746428 + 1.19274i
\(185\) 5.56183 5.04217i 0.408914 0.370708i
\(186\) −34.9103 + 6.90842i −2.55975 + 0.506550i
\(187\) 3.00632 5.20709i 0.219844 0.380780i
\(188\) 4.04373 5.24848i 0.294919 0.382785i
\(189\) −30.5959 + 19.3526i −2.22553 + 1.40769i
\(190\) −1.42249 + 12.2718i −0.103198 + 0.890294i
\(191\) −2.66537 1.53885i −0.192860 0.111347i 0.400461 0.916314i \(-0.368850\pi\)
−0.593321 + 0.804966i \(0.702183\pi\)
\(192\) 25.4372 3.19630i 1.83577 0.230673i
\(193\) −16.3501 + 9.43976i −1.17691 + 0.679488i −0.955297 0.295647i \(-0.904465\pi\)
−0.221611 + 0.975135i \(0.571132\pi\)
\(194\) −14.8516 16.9686i −1.06628 1.21827i
\(195\) 20.3608 4.40009i 1.45807 0.315097i
\(196\) 11.7435 + 7.62171i 0.838821 + 0.544408i
\(197\) 4.81372 0.342964 0.171482 0.985187i \(-0.445145\pi\)
0.171482 + 0.985187i \(0.445145\pi\)
\(198\) −16.7521 19.1400i −1.19052 1.36022i
\(199\) 12.0922 + 20.9442i 0.857190 + 1.48470i 0.874598 + 0.484848i \(0.161125\pi\)
−0.0174086 + 0.999848i \(0.505542\pi\)
\(200\) 14.1333 + 0.501003i 0.999372 + 0.0354263i
\(201\) 13.2034 + 7.62296i 0.931293 + 0.537682i
\(202\) −5.54612 + 16.2857i −0.390223 + 1.14586i
\(203\) −6.66354 10.5349i −0.467689 0.739404i
\(204\) −12.3391 9.50673i −0.863908 0.665604i
\(205\) −3.93745 + 12.2596i −0.275004 + 0.856249i
\(206\) 3.46760 + 17.5229i 0.241599 + 1.22088i
\(207\) −20.8330 36.0838i −1.44799 2.50800i
\(208\) −3.05367 + 11.2197i −0.211734 + 0.777949i
\(209\) 9.66522i 0.668557i
\(210\) 2.00925 26.7367i 0.138652 1.84501i
\(211\) −24.8628 −1.71163 −0.855814 0.517284i \(-0.826943\pi\)
−0.855814 + 0.517284i \(0.826943\pi\)
\(212\) 1.75361 0.722333i 0.120439 0.0496100i
\(213\) −21.8449 + 12.6121i −1.49679 + 0.864170i
\(214\) 2.69333 + 13.6102i 0.184112 + 0.930377i
\(215\) −0.522271 + 1.62614i −0.0356186 + 0.110902i
\(216\) −32.2431 + 21.4068i −2.19386 + 1.45655i
\(217\) −18.3967 9.65267i −1.24885 0.655266i
\(218\) −4.45161 1.51600i −0.301501 0.102677i
\(219\) −2.93512 + 5.08377i −0.198337 + 0.343529i
\(220\) 11.0288 0.883816i 0.743562 0.0595869i
\(221\) 6.11832 3.53241i 0.411563 0.237616i
\(222\) −10.0210 11.4495i −0.672568 0.768440i
\(223\) 6.76281i 0.452871i −0.974026 0.226436i \(-0.927293\pi\)
0.974026 0.226436i \(-0.0727073\pi\)
\(224\) 12.7314 + 7.86842i 0.850651 + 0.525731i
\(225\) −33.1055 + 15.0095i −2.20703 + 1.00064i
\(226\) 6.64143 5.81284i 0.441782 0.386664i
\(227\) −4.30970 7.46462i −0.286045 0.495444i 0.686817 0.726830i \(-0.259007\pi\)
−0.972862 + 0.231386i \(0.925674\pi\)
\(228\) 24.8185 + 3.31709i 1.64364 + 0.219679i
\(229\) −10.3387 + 17.9071i −0.683200 + 1.18334i 0.290799 + 0.956784i \(0.406079\pi\)
−0.973999 + 0.226552i \(0.927255\pi\)
\(230\) 18.0036 + 2.08688i 1.18712 + 0.137605i
\(231\) −0.847038 20.9594i −0.0557310 1.37903i
\(232\) −7.37085 11.1020i −0.483920 0.728884i
\(233\) 19.1261 + 11.0424i 1.25299 + 0.723414i 0.971702 0.236210i \(-0.0759053\pi\)
0.281287 + 0.959624i \(0.409239\pi\)
\(234\) −5.80179 29.3182i −0.379275 1.91659i
\(235\) −4.97532 5.48809i −0.324554 0.358003i
\(236\) −5.64222 13.6977i −0.367277 0.891642i
\(237\) 6.27083i 0.407334i
\(238\) −2.12403 8.84184i −0.137680 0.573131i
\(239\) 10.7855i 0.697656i −0.937187 0.348828i \(-0.886580\pi\)
0.937187 0.348828i \(-0.113420\pi\)
\(240\) 1.51559 28.6232i 0.0978310 1.84762i
\(241\) −15.4652 + 8.92882i −0.996200 + 0.575156i −0.907122 0.420868i \(-0.861725\pi\)
−0.0890780 + 0.996025i \(0.528392\pi\)
\(242\) −6.76899 + 1.33952i −0.435127 + 0.0861075i
\(243\) 14.7918 25.6201i 0.948893 1.64353i
\(244\) −0.460254 0.354606i −0.0294647 0.0227013i
\(245\) 10.7103 11.4144i 0.684256 0.729242i
\(246\) 24.7047 + 8.41321i 1.57511 + 0.536406i
\(247\) −5.67830 + 9.83511i −0.361302 + 0.625793i
\(248\) −19.8903 9.88185i −1.26303 0.627498i
\(249\) 10.6014 + 18.3622i 0.671839 + 1.16366i
\(250\) 3.34757 15.4530i 0.211719 0.977331i
\(251\) 11.0237i 0.695810i 0.937530 + 0.347905i \(0.113107\pi\)
−0.937530 + 0.347905i \(0.886893\pi\)
\(252\) −38.3039 3.55230i −2.41292 0.223774i
\(253\) 14.1795 0.891457
\(254\) −16.0773 18.3690i −1.00878 1.15258i
\(255\) −12.9024 + 11.6969i −0.807979 + 0.732487i
\(256\) 13.7930 + 8.10876i 0.862065 + 0.506798i
\(257\) −15.5353 + 26.9079i −0.969065 + 1.67847i −0.270793 + 0.962638i \(0.587286\pi\)
−0.698272 + 0.715832i \(0.746048\pi\)
\(258\) 3.27687 + 1.11594i 0.204009 + 0.0694756i
\(259\) −0.358681 8.87534i −0.0222873 0.551487i
\(260\) 11.7419 + 5.58005i 0.728202 + 0.346060i
\(261\) 29.6628 + 17.1258i 1.83608 + 1.06006i
\(262\) −0.563435 2.84721i −0.0348091 0.175901i
\(263\) 9.32868 + 16.1577i 0.575231 + 0.996329i 0.996017 + 0.0891689i \(0.0284211\pi\)
−0.420786 + 0.907160i \(0.638246\pi\)
\(264\) −1.40063 22.3811i −0.0862031 1.37746i
\(265\) −0.447894 2.07257i −0.0275139 0.127317i
\(266\) 10.0635 + 10.6018i 0.617031 + 0.650035i
\(267\) 13.7872i 0.843761i
\(268\) 3.62388 + 8.79772i 0.221364 + 0.537406i
\(269\) 1.41984 + 2.45923i 0.0865689 + 0.149942i 0.906059 0.423152i \(-0.139076\pi\)
−0.819490 + 0.573094i \(0.805743\pi\)
\(270\) 17.1765 + 39.7153i 1.04533 + 2.41699i
\(271\) −9.37179 + 16.2324i −0.569296 + 0.986049i 0.427340 + 0.904091i \(0.359451\pi\)
−0.996636 + 0.0819580i \(0.973883\pi\)
\(272\) −2.47908 9.39981i −0.150317 0.569947i
\(273\) 11.4517 21.8255i 0.693089 1.32094i
\(274\) 11.4537 + 3.90057i 0.691943 + 0.235642i
\(275\) 1.20951 12.3108i 0.0729362 0.742371i
\(276\) 4.86638 36.4103i 0.292921 2.19164i
\(277\) −11.9110 20.6304i −0.715661 1.23956i −0.962704 0.270557i \(-0.912792\pi\)
0.247043 0.969004i \(-0.420541\pi\)
\(278\) −14.2019 + 12.4300i −0.851771 + 0.745502i
\(279\) 57.0851 3.41760
\(280\) 11.1772 12.4527i 0.667967 0.744191i
\(281\) 10.3608 0.618073 0.309037 0.951050i \(-0.399993\pi\)
0.309037 + 0.951050i \(0.399993\pi\)
\(282\) −11.2977 + 9.88818i −0.672768 + 0.588833i
\(283\) 4.67454 + 8.09653i 0.277872 + 0.481289i 0.970856 0.239665i \(-0.0770375\pi\)
−0.692983 + 0.720953i \(0.743704\pi\)
\(284\) −15.6035 2.08547i −0.925899 0.123750i
\(285\) 8.56043 26.6537i 0.507076 1.57883i
\(286\) 9.62789 + 3.27879i 0.569309 + 0.193879i
\(287\) 8.14436 + 12.8760i 0.480747 + 0.760047i
\(288\) −41.0226 2.89140i −2.41728 0.170378i
\(289\) 5.54680 9.60734i 0.326282 0.565138i
\(290\) −13.6749 + 5.91427i −0.803016 + 0.347298i
\(291\) 25.5495 + 44.2531i 1.49774 + 2.59416i
\(292\) −3.38744 + 1.39533i −0.198235 + 0.0816553i
\(293\) 16.0747i 0.939094i 0.882907 + 0.469547i \(0.155583\pi\)
−0.882907 + 0.469547i \(0.844417\pi\)
\(294\) −22.7522 22.1084i −1.32693 1.28939i
\(295\) −16.1891 + 3.49855i −0.942564 + 0.203693i
\(296\) −0.593103 9.47734i −0.0344734 0.550859i
\(297\) 16.9264 + 29.3174i 0.982171 + 1.70117i
\(298\) −3.18573 16.0985i −0.184544 0.932558i
\(299\) 14.4287 + 8.33043i 0.834435 + 0.481761i
\(300\) −31.1968 7.33085i −1.80115 0.423247i
\(301\) 1.08028 + 1.70790i 0.0622665 + 0.0984417i
\(302\) 20.7247 + 7.05782i 1.19257 + 0.406132i
\(303\) 19.4926 33.7622i 1.11982 1.93959i
\(304\) 11.0062 + 11.0931i 0.631250 + 0.636236i
\(305\) −0.481265 + 0.436299i −0.0275572 + 0.0249824i
\(306\) 16.4561 + 18.8018i 0.940731 + 1.07483i
\(307\) −14.9824 −0.855091 −0.427545 0.903994i \(-0.640622\pi\)
−0.427545 + 0.903994i \(0.640622\pi\)
\(308\) 7.56461 10.6845i 0.431034 0.608806i
\(309\) 40.4774i 2.30268i
\(310\) −14.8092 + 19.9319i −0.841104 + 1.13206i
\(311\) −15.4750 26.8036i −0.877509 1.51989i −0.854066 0.520165i \(-0.825870\pi\)
−0.0234437 0.999725i \(-0.507463\pi\)
\(312\) 11.7236 23.5974i 0.663718 1.33594i
\(313\) 1.57151 2.72194i 0.0888271 0.153853i −0.818189 0.574950i \(-0.805021\pi\)
0.907016 + 0.421097i \(0.138355\pi\)
\(314\) 2.68537 + 0.914505i 0.151544 + 0.0516085i
\(315\) −11.4874 + 41.4464i −0.647239 + 2.33524i
\(316\) 2.38853 3.10015i 0.134365 0.174397i
\(317\) 1.89262 3.27812i 0.106300 0.184118i −0.807968 0.589226i \(-0.799433\pi\)
0.914269 + 0.405108i \(0.132766\pi\)
\(318\) −4.21590 + 0.834286i −0.236416 + 0.0467845i
\(319\) −10.0947 + 5.82815i −0.565192 + 0.326314i
\(320\) 11.6517 13.5734i 0.651353 0.758775i
\(321\) 31.4393i 1.75477i
\(322\) 15.5534 14.7637i 0.866759 0.822751i
\(323\) 9.49444i 0.528285i
\(324\) 40.7594 16.7892i 2.26441 0.932736i
\(325\) 8.46336 11.8166i 0.469463 0.655469i
\(326\) −4.52994 22.8912i −0.250890 1.26782i
\(327\) 9.22873 + 5.32821i 0.510350 + 0.294651i
\(328\) 9.00886 + 13.5692i 0.497431 + 0.749234i
\(329\) −8.75767 + 0.353925i −0.482826 + 0.0195125i
\(330\) −24.9050 2.88686i −1.37098 0.158917i
\(331\) −3.83340 + 6.63965i −0.210703 + 0.364948i −0.951935 0.306301i \(-0.900909\pi\)
0.741232 + 0.671249i \(0.234242\pi\)
\(332\) −1.75299 + 13.1159i −0.0962080 + 0.719830i
\(333\) 12.2035 + 21.1371i 0.668748 + 1.15831i
\(334\) 4.97179 4.35150i 0.272045 0.238104i
\(335\) 10.3979 2.24704i 0.568098 0.122769i
\(336\) −24.8396 23.0914i −1.35511 1.25974i
\(337\) 24.8688i 1.35469i −0.735667 0.677344i \(-0.763131\pi\)
0.735667 0.677344i \(-0.236869\pi\)
\(338\) −4.23749 4.84152i −0.230489 0.263344i
\(339\) −17.3205 + 9.99998i −0.940719 + 0.543124i
\(340\) −10.8339 + 0.868200i −0.587553 + 0.0470848i
\(341\) −9.71342 + 16.8241i −0.526011 + 0.911078i
\(342\) −38.0207 12.9480i −2.05592 0.700148i
\(343\) −2.23868 18.3845i −0.120877 0.992667i
\(344\) 1.19495 + 1.79984i 0.0644275 + 0.0970411i
\(345\) −39.1026 12.5587i −2.10522 0.676137i
\(346\) −2.04388 10.3284i −0.109880 0.555256i
\(347\) 19.3450 11.1689i 1.03850 0.599576i 0.119089 0.992884i \(-0.462003\pi\)
0.919407 + 0.393308i \(0.128669\pi\)
\(348\) 11.5011 + 27.9214i 0.616526 + 1.49674i
\(349\) −6.23220 −0.333602 −0.166801 0.985991i \(-0.553344\pi\)
−0.166801 + 0.985991i \(0.553344\pi\)
\(350\) −11.4914 14.7631i −0.614240 0.789119i
\(351\) 39.7770i 2.12314i
\(352\) 7.83243 11.5982i 0.417470 0.618186i
\(353\) 5.05250 + 8.75119i 0.268918 + 0.465779i 0.968583 0.248692i \(-0.0800008\pi\)
−0.699665 + 0.714471i \(0.746667\pi\)
\(354\) 6.51670 + 32.9309i 0.346359 + 1.75026i
\(355\) −5.38199 + 16.7573i −0.285646 + 0.889387i
\(356\) −5.25148 + 6.81606i −0.278328 + 0.361250i
\(357\) 0.832072 + 20.5891i 0.0440379 + 1.08969i
\(358\) −4.43401 + 13.0201i −0.234345 + 0.688133i
\(359\) 18.4425 + 10.6478i 0.973359 + 0.561969i 0.900259 0.435356i \(-0.143377\pi\)
0.0731003 + 0.997325i \(0.476711\pi\)
\(360\) −11.2980 + 44.5687i −0.595457 + 2.34898i
\(361\) −1.86891 3.23705i −0.0983638 0.170371i
\(362\) 5.33234 + 6.09244i 0.280262 + 0.320212i
\(363\) 15.6362 0.820689
\(364\) 13.9747 6.42810i 0.732473 0.336924i
\(365\) 0.865194 + 4.00357i 0.0452863 + 0.209556i
\(366\) 0.867121 + 0.990726i 0.0453252 + 0.0517861i
\(367\) −26.2490 + 15.1549i −1.37019 + 0.791077i −0.990951 0.134224i \(-0.957146\pi\)
−0.379234 + 0.925301i \(0.623813\pi\)
\(368\) 16.2744 16.1468i 0.848359 0.841711i
\(369\) −36.2547 20.9317i −1.88734 1.08966i
\(370\) −10.5461 1.22245i −0.548266 0.0635522i
\(371\) −2.22166 1.16569i −0.115343 0.0605198i
\(372\) 39.8676 + 30.7163i 2.06704 + 1.59256i
\(373\) −11.6702 + 20.2134i −0.604260 + 1.04661i 0.387908 + 0.921698i \(0.373198\pi\)
−0.992168 + 0.124911i \(0.960136\pi\)
\(374\) −8.34139 + 1.65068i −0.431323 + 0.0853546i
\(375\) −14.2391 + 32.8782i −0.735303 + 1.69782i
\(376\) −9.35169 + 0.585240i −0.482277 + 0.0301814i
\(377\) −13.6961 −0.705386
\(378\) 49.0920 + 14.5343i 2.52502 + 0.747566i
\(379\) 9.55433 0.490773 0.245387 0.969425i \(-0.421085\pi\)
0.245387 + 0.969425i \(0.421085\pi\)
\(380\) 14.3844 9.91634i 0.737902 0.508697i
\(381\) 27.6582 + 47.9053i 1.41697 + 2.45427i
\(382\) 0.844939 + 4.26973i 0.0432308 + 0.218459i
\(383\) −16.2249 9.36744i −0.829052 0.478654i 0.0244757 0.999700i \(-0.492208\pi\)
−0.853528 + 0.521047i \(0.825542\pi\)
\(384\) −27.0939 24.0927i −1.38263 1.22947i
\(385\) −10.2604 10.4379i −0.522920 0.531967i
\(386\) 25.2743 + 8.60718i 1.28643 + 0.438094i
\(387\) −4.80889 2.77641i −0.244450 0.141133i
\(388\) −4.22473 + 31.6094i −0.214478 + 1.60473i
\(389\) −18.5104 + 10.6870i −0.938515 + 0.541852i −0.889494 0.456946i \(-0.848943\pi\)
−0.0490204 + 0.998798i \(0.515610\pi\)
\(390\) −23.6467 17.5693i −1.19740 0.889654i
\(391\) −13.9290 −0.704417
\(392\) −2.82714 19.5961i −0.142792 0.989753i
\(393\) 6.57699i 0.331765i
\(394\) −4.48355 5.12266i −0.225878 0.258076i
\(395\) −2.93880 3.24168i −0.147867 0.163107i
\(396\) −4.76535 + 35.6544i −0.239468 + 1.79170i
\(397\) −0.251200 0.145030i −0.0126073 0.00727885i 0.493683 0.869642i \(-0.335650\pi\)
−0.506290 + 0.862363i \(0.668984\pi\)
\(398\) 11.0256 32.3759i 0.552666 1.62286i
\(399\) −17.7067 27.9938i −0.886443 1.40144i
\(400\) −12.6307 15.5069i −0.631535 0.775347i
\(401\) 13.4012 23.2115i 0.669223 1.15913i −0.308899 0.951095i \(-0.599960\pi\)
0.978122 0.208033i \(-0.0667063\pi\)
\(402\) −4.18554 21.1508i −0.208756 1.05491i
\(403\) −19.7683 + 11.4132i −0.984730 + 0.568534i
\(404\) 22.4966 9.26660i 1.11925 0.461031i
\(405\) −10.4104 48.1729i −0.517299 2.39373i
\(406\) −5.00451 + 16.9035i −0.248369 + 0.838906i
\(407\) −8.30603 −0.411715
\(408\) 1.37589 + 21.9856i 0.0681165 + 1.08845i
\(409\) 11.0759 6.39466i 0.547667 0.316195i −0.200514 0.979691i \(-0.564261\pi\)
0.748180 + 0.663495i \(0.230928\pi\)
\(410\) 16.7138 7.22858i 0.825436 0.356994i
\(411\) −23.7449 13.7091i −1.17125 0.676221i
\(412\) 15.4177 20.0111i 0.759575 0.985877i
\(413\) −9.10536 + 17.3536i −0.448045 + 0.853916i
\(414\) −18.9955 + 55.7788i −0.933580 + 2.74138i
\(415\) 14.0858 + 4.52396i 0.691444 + 0.222073i
\(416\) 14.7840 7.20052i 0.724846 0.353034i
\(417\) 37.0376 21.3837i 1.81374 1.04716i
\(418\) 10.2855 9.00228i 0.503081 0.440316i
\(419\) 11.3606i 0.555002i 0.960725 + 0.277501i \(0.0895062\pi\)
−0.960725 + 0.277501i \(0.910494\pi\)
\(420\) −30.3241 + 22.7646i −1.47966 + 1.11080i
\(421\) 36.1939i 1.76398i −0.471266 0.881991i \(-0.656203\pi\)
0.471266 0.881991i \(-0.343797\pi\)
\(422\) 23.1575 + 26.4585i 1.12729 + 1.28798i
\(423\) 20.8569 12.0417i 1.01409 0.585488i
\(424\) −2.40202 1.19337i −0.116653 0.0579551i
\(425\) −1.18814 + 12.0933i −0.0576332 + 0.586612i
\(426\) 33.7681 + 11.4998i 1.63607 + 0.557166i
\(427\) 0.0310367 + 0.767984i 0.00150197 + 0.0371654i
\(428\) 11.9751 15.5429i 0.578839 0.751294i
\(429\) −19.9598 11.5238i −0.963667 0.556374i
\(430\) 2.21695 0.958812i 0.106911 0.0462380i
\(431\) 26.0484 15.0391i 1.25471 0.724406i 0.282667 0.959218i \(-0.408781\pi\)
0.972041 + 0.234812i \(0.0754475\pi\)
\(432\) 52.8122 + 14.3739i 2.54093 + 0.691564i
\(433\) −13.9510 −0.670442 −0.335221 0.942139i \(-0.608811\pi\)
−0.335221 + 0.942139i \(0.608811\pi\)
\(434\) 6.86274 + 28.5680i 0.329422 + 1.37131i
\(435\) 32.9999 7.13147i 1.58222 0.341928i
\(436\) 2.53298 + 6.14933i 0.121308 + 0.294500i
\(437\) 19.3908 11.1953i 0.927588 0.535543i
\(438\) 8.14384 1.61159i 0.389128 0.0770046i
\(439\) 5.58413 9.67200i 0.266516 0.461619i −0.701444 0.712725i \(-0.747461\pi\)
0.967960 + 0.251106i \(0.0807941\pi\)
\(440\) −11.2129 10.9134i −0.534553 0.520277i
\(441\) 28.9177 + 41.8740i 1.37703 + 1.99400i
\(442\) −9.45778 3.22086i −0.449861 0.153201i
\(443\) −16.0785 9.28292i −0.763912 0.441045i 0.0667865 0.997767i \(-0.478725\pi\)
−0.830699 + 0.556722i \(0.812059\pi\)
\(444\) −2.85062 + 21.3283i −0.135284 + 1.01220i
\(445\) 6.46131 + 7.12722i 0.306295 + 0.337863i
\(446\) −7.19684 + 6.29895i −0.340780 + 0.298264i
\(447\) 37.1871i 1.75889i
\(448\) −3.48472 20.8772i −0.164637 0.986354i
\(449\) −8.39895 −0.396371 −0.198186 0.980165i \(-0.563505\pi\)
−0.198186 + 0.980165i \(0.563505\pi\)
\(450\) 46.8076 + 21.2501i 2.20653 + 1.00174i
\(451\) 12.3380 7.12333i 0.580972 0.335424i
\(452\) −12.3718 1.65354i −0.581920 0.0777759i
\(453\) −42.9648 24.8057i −2.01866 1.16547i
\(454\) −3.92959 + 11.5389i −0.184425 + 0.541548i
\(455\) −4.30852 16.6494i −0.201986 0.780536i
\(456\) −19.5862 29.5009i −0.917208 1.38150i
\(457\) 24.5026 + 14.1466i 1.14618 + 0.661749i 0.947954 0.318406i \(-0.103148\pi\)
0.198229 + 0.980156i \(0.436481\pi\)
\(458\) 28.6859 5.67667i 1.34041 0.265253i
\(459\) −16.6274 28.7994i −0.776099 1.34424i
\(460\) −14.5479 21.1028i −0.678299 0.983922i
\(461\) −31.5889 −1.47124 −0.735621 0.677393i \(-0.763110\pi\)
−0.735621 + 0.677393i \(0.763110\pi\)
\(462\) −21.5156 + 20.4232i −1.00100 + 0.950174i
\(463\) 20.6027 0.957487 0.478744 0.877955i \(-0.341092\pi\)
0.478744 + 0.877955i \(0.341092\pi\)
\(464\) −4.94925 + 18.1844i −0.229763 + 0.844192i
\(465\) 41.6877 37.7927i 1.93322 1.75259i
\(466\) −6.06307 30.6386i −0.280866 1.41930i
\(467\) −8.18604 + 14.1786i −0.378805 + 0.656109i −0.990889 0.134684i \(-0.956998\pi\)
0.612084 + 0.790793i \(0.290331\pi\)
\(468\) −25.7960 + 33.4814i −1.19242 + 1.54768i
\(469\) 5.84818 11.1459i 0.270044 0.514669i
\(470\) −1.20624 + 10.4063i −0.0556399 + 0.480006i
\(471\) −5.56708 3.21416i −0.256518 0.148101i
\(472\) −9.32154 + 18.7625i −0.429059 + 0.863613i
\(473\) 1.63653 0.944851i 0.0752478 0.0434443i
\(474\) −6.67328 + 5.84071i −0.306514 + 0.268273i
\(475\) −8.06588 17.7903i −0.370088 0.816277i
\(476\) −7.43095 + 10.4957i −0.340597 + 0.481070i
\(477\) 6.89381 0.315646
\(478\) −11.4777 + 10.0457i −0.524978 + 0.459481i
\(479\) −18.7679 32.5069i −0.857526 1.48528i −0.874282 0.485419i \(-0.838667\pi\)
0.0167554 0.999860i \(-0.494666\pi\)
\(480\) −31.8719 + 25.0471i −1.45474 + 1.14324i
\(481\) −8.45203 4.87978i −0.385379 0.222499i
\(482\) 23.9063 + 8.14132i 1.08890 + 0.370827i
\(483\) −41.0687 + 25.9768i −1.86869 + 1.18199i
\(484\) 7.73019 + 5.95578i 0.351372 + 0.270717i
\(485\) 33.9468 + 10.9028i 1.54145 + 0.495070i
\(486\) −41.0416 + 8.12173i −1.86168 + 0.368409i
\(487\) 12.1439 + 21.0339i 0.550294 + 0.953138i 0.998253 + 0.0590835i \(0.0188178\pi\)
−0.447959 + 0.894054i \(0.647849\pi\)
\(488\) 0.0513212 + 0.820075i 0.00232320 + 0.0371231i
\(489\) 52.8781i 2.39123i
\(490\) −22.1227 0.766138i −0.999401 0.0346106i
\(491\) 15.9769 0.721025 0.360513 0.932754i \(-0.382602\pi\)
0.360513 + 0.932754i \(0.382602\pi\)
\(492\) −14.0570 34.1263i −0.633739 1.53853i
\(493\) 9.91630 5.72518i 0.446608 0.257849i
\(494\) 15.7551 3.11779i 0.708857 0.140276i
\(495\) 38.2908 + 12.2980i 1.72105 + 0.552752i
\(496\) 8.00993 + 30.3708i 0.359657 + 1.36369i
\(497\) 11.1323 + 17.5999i 0.499352 + 0.789462i
\(498\) 9.66641 28.3846i 0.433162 1.27194i
\(499\) 7.03517 12.1853i 0.314937 0.545487i −0.664487 0.747300i \(-0.731350\pi\)
0.979424 + 0.201813i \(0.0646832\pi\)
\(500\) −19.5627 + 10.8306i −0.874869 + 0.484360i
\(501\) −12.9661 + 7.48601i −0.579285 + 0.334450i
\(502\) 11.7312 10.2676i 0.523588 0.458265i
\(503\) 8.77499i 0.391258i −0.980678 0.195629i \(-0.937325\pi\)
0.980678 0.195629i \(-0.0626748\pi\)
\(504\) 31.8964 + 44.0709i 1.42078 + 1.96307i
\(505\) −5.74590 26.5884i −0.255689 1.18317i
\(506\) −13.2069 15.0895i −0.587119 0.670810i
\(507\) 7.28986 + 12.6264i 0.323754 + 0.560758i
\(508\) −4.57340 + 34.2182i −0.202912 + 1.51819i
\(509\) 17.8686 30.9493i 0.792011 1.37180i −0.132709 0.991155i \(-0.542367\pi\)
0.924720 0.380649i \(-0.124299\pi\)
\(510\) 24.4650 + 2.83585i 1.08333 + 0.125574i
\(511\) 4.29157 + 2.25176i 0.189848 + 0.0996121i
\(512\) −4.21780 22.2308i −0.186402 0.982474i
\(513\) 46.2946 + 26.7282i 2.04396 + 1.18008i
\(514\) 43.1046 8.52997i 1.90126 0.376241i
\(515\) −18.9696 20.9247i −0.835901 0.922051i
\(516\) −1.86455 4.52658i −0.0820821 0.199271i
\(517\) 8.19591i 0.360456i
\(518\) −9.11087 + 8.64828i −0.400309 + 0.379984i
\(519\) 23.8583i 1.04726i
\(520\) −4.99835 17.6928i −0.219192 0.775880i
\(521\) −34.6318 + 19.9947i −1.51724 + 0.875982i −0.517450 + 0.855713i \(0.673119\pi\)
−0.999795 + 0.0202683i \(0.993548\pi\)
\(522\) −9.40329 47.5177i −0.411571 2.07979i
\(523\) 17.3266 30.0106i 0.757641 1.31227i −0.186409 0.982472i \(-0.559685\pi\)
0.944050 0.329801i \(-0.106982\pi\)
\(524\) −2.50515 + 3.25152i −0.109438 + 0.142043i
\(525\) 19.0503 + 37.8722i 0.831423 + 1.65288i
\(526\) 8.50590 24.9769i 0.370875 1.08904i
\(527\) 9.54180 16.5269i 0.415647 0.719922i
\(528\) −22.5129 + 22.3365i −0.979749 + 0.972071i
\(529\) −4.92420 8.52897i −0.214096 0.370825i
\(530\) −1.78841 + 2.40705i −0.0776836 + 0.104556i
\(531\) 53.8484i 2.33682i
\(532\) 1.90895 20.5839i 0.0827633 0.892425i
\(533\) 16.7398 0.725080
\(534\) 14.6720 12.8415i 0.634920 0.555706i
\(535\) −14.7339 16.2525i −0.637004 0.702655i
\(536\) 5.98703 12.0507i 0.258600 0.520513i
\(537\) 15.5840 26.9922i 0.672497 1.16480i
\(538\) 1.29461 3.80151i 0.0558145 0.163895i
\(539\) −17.2617 + 1.39748i −0.743513 + 0.0601938i
\(540\) 26.2658 55.2701i 1.13030 2.37845i
\(541\) −24.2321 13.9904i −1.04182 0.601495i −0.121472 0.992595i \(-0.538761\pi\)
−0.920348 + 0.391100i \(0.872095\pi\)
\(542\) 26.0032 5.14577i 1.11693 0.221030i
\(543\) −9.17336 15.8887i −0.393667 0.681851i
\(544\) −7.69404 + 11.3933i −0.329879 + 0.488482i
\(545\) 7.26781 1.57061i 0.311319 0.0672777i
\(546\) −33.8924 + 8.14180i −1.45046 + 0.348437i
\(547\) 11.5628i 0.494391i 0.968966 + 0.247196i \(0.0795090\pi\)
−0.968966 + 0.247196i \(0.920491\pi\)
\(548\) −6.51718 15.8218i −0.278400 0.675875i
\(549\) −1.05597 1.82899i −0.0450677 0.0780596i
\(550\) −14.2275 + 10.1793i −0.606661 + 0.434047i
\(551\) −9.20314 + 15.9403i −0.392067 + 0.679080i
\(552\) −43.2796 + 28.7342i −1.84210 + 1.22301i
\(553\) −5.17295 + 0.209055i −0.219976 + 0.00888993i
\(554\) −10.8604 + 31.8908i −0.461416 + 1.35491i
\(555\) 22.9055 + 7.35661i 0.972283 + 0.312271i
\(556\) 26.4555 + 3.53588i 1.12196 + 0.149955i
\(557\) −22.6698 39.2653i −0.960552 1.66372i −0.721118 0.692812i \(-0.756371\pi\)
−0.239434 0.970913i \(-0.576962\pi\)
\(558\) −53.1696 60.7488i −2.25085 2.57170i
\(559\) 2.22040 0.0939127
\(560\) −23.6625 0.296011i −0.999922 0.0125087i
\(561\) 19.2684 0.813514
\(562\) −9.65015 11.0257i −0.407067 0.465093i
\(563\) 5.15902 + 8.93569i 0.217427 + 0.376594i 0.954021 0.299741i \(-0.0969003\pi\)
−0.736594 + 0.676335i \(0.763567\pi\)
\(564\) 21.0456 + 2.81282i 0.886179 + 0.118441i
\(565\) −4.26730 + 13.2866i −0.179527 + 0.558973i
\(566\) 4.26225 12.5157i 0.179156 0.526075i
\(567\) −51.6383 27.0943i −2.16860 1.13785i
\(568\) 12.3140 + 18.5474i 0.516682 + 0.778230i
\(569\) −4.72049 + 8.17613i −0.197893 + 0.342761i −0.947845 0.318731i \(-0.896743\pi\)
0.749952 + 0.661492i \(0.230077\pi\)
\(570\) −36.3375 + 15.7157i −1.52201 + 0.658257i
\(571\) 14.8128 + 25.6565i 0.619895 + 1.07369i 0.989504 + 0.144503i \(0.0461582\pi\)
−0.369609 + 0.929187i \(0.620508\pi\)
\(572\) −5.47829 13.2997i −0.229059 0.556088i
\(573\) 9.86299i 0.412032i
\(574\) 6.11664 20.6599i 0.255304 0.862328i
\(575\) −26.0996 + 11.8332i −1.08843 + 0.493477i
\(576\) 35.1319 + 46.3484i 1.46383 + 1.93118i
\(577\) −7.61237 13.1850i −0.316907 0.548899i 0.662934 0.748678i \(-0.269311\pi\)
−0.979841 + 0.199779i \(0.935978\pi\)
\(578\) −15.3903 + 3.04558i −0.640151 + 0.126680i
\(579\) −52.3966 30.2512i −2.17753 1.25720i
\(580\) 19.0307 + 9.04390i 0.790209 + 0.375528i
\(581\) 14.7940 9.35752i 0.613758 0.388216i
\(582\) 23.2961 68.4070i 0.965655 2.83556i
\(583\) −1.17303 + 2.03175i −0.0485819 + 0.0841463i
\(584\) 4.63997 + 2.30522i 0.192003 + 0.0953909i
\(585\) 31.7389 + 35.0099i 1.31224 + 1.44748i
\(586\) 17.1064 14.9721i 0.706657 0.618493i
\(587\) 24.3201 1.00380 0.501899 0.864926i \(-0.332635\pi\)
0.501899 + 0.864926i \(0.332635\pi\)
\(588\) −2.33571 + 44.8044i −0.0963229 + 1.84770i
\(589\) 30.6766i 1.26401i
\(590\) 18.8017 + 13.9695i 0.774055 + 0.575114i
\(591\) 7.71317 + 13.3596i 0.317277 + 0.549540i
\(592\) −9.53316 + 9.45846i −0.391811 + 0.388740i
\(593\) 4.82898 8.36403i 0.198302 0.343470i −0.749676 0.661805i \(-0.769791\pi\)
0.947978 + 0.318336i \(0.103124\pi\)
\(594\) 15.4335 45.3193i 0.633246 1.85947i
\(595\) 10.0792 + 10.2535i 0.413205 + 0.420353i
\(596\) −14.1644 + 18.3844i −0.580197 + 0.753056i
\(597\) −38.7512 + 67.1190i −1.58598 + 2.74700i
\(598\) −4.57399 23.1138i −0.187044 0.945193i
\(599\) −9.10218 + 5.25515i −0.371905 + 0.214719i −0.674290 0.738466i \(-0.735550\pi\)
0.302385 + 0.953186i \(0.402217\pi\)
\(600\) 21.2557 + 40.0270i 0.867760 + 1.63410i
\(601\) 9.14888i 0.373191i 0.982437 + 0.186595i \(0.0597453\pi\)
−0.982437 + 0.186595i \(0.940255\pi\)
\(602\) 0.811323 2.74037i 0.0330671 0.111689i
\(603\) 34.5857i 1.40844i
\(604\) −11.7924 28.6285i −0.479826 1.16488i
\(605\) 8.08309 7.32786i 0.328624 0.297920i
\(606\) −54.0846 + 10.7028i −2.19704 + 0.434772i
\(607\) 42.1138 + 24.3144i 1.70935 + 0.986892i 0.935366 + 0.353682i \(0.115071\pi\)
0.773981 + 0.633209i \(0.218263\pi\)
\(608\) 1.55379 22.0448i 0.0630146 0.894037i
\(609\) 18.5604 35.3738i 0.752106 1.43342i
\(610\) 0.912556 + 0.105779i 0.0369483 + 0.00428286i
\(611\) −4.81509 + 8.33998i −0.194798 + 0.337399i
\(612\) 4.68115 35.0244i 0.189224 1.41578i
\(613\) 2.92021 + 5.05795i 0.117946 + 0.204289i 0.918954 0.394366i \(-0.129036\pi\)
−0.801008 + 0.598654i \(0.795702\pi\)
\(614\) 13.9548 + 15.9440i 0.563168 + 0.643446i
\(615\) −40.3334 + 8.71627i −1.62640 + 0.351474i
\(616\) −18.4160 + 1.90155i −0.742000 + 0.0766156i
\(617\) 49.5048i 1.99299i 0.0836564 + 0.996495i \(0.473340\pi\)
−0.0836564 + 0.996495i \(0.526660\pi\)
\(618\) −43.0752 + 37.7011i −1.73274 + 1.51656i
\(619\) 8.25280 4.76475i 0.331708 0.191512i −0.324891 0.945751i \(-0.605328\pi\)
0.656599 + 0.754240i \(0.271994\pi\)
\(620\) 35.0045 2.80516i 1.40581 0.112658i
\(621\) 39.2120 67.9172i 1.57352 2.72542i
\(622\) −14.1102 + 41.4333i −0.565766 + 1.66132i
\(623\) 11.3733 0.459633i 0.455663 0.0184148i
\(624\) −36.0313 + 9.50280i −1.44241 + 0.380416i
\(625\) 8.04742 + 23.6694i 0.321897 + 0.946775i
\(626\) −4.36035 + 0.862871i −0.174275 + 0.0344873i
\(627\) −26.8240 + 15.4869i −1.07125 + 0.618485i
\(628\) −1.52798 3.70949i −0.0609730 0.148025i
\(629\) 8.15928 0.325332
\(630\) 54.8058 26.3790i 2.18352 1.05096i
\(631\) 7.60958i 0.302933i 0.988462 + 0.151466i \(0.0483995\pi\)
−0.988462 + 0.151466i \(0.951601\pi\)
\(632\) −5.52382 + 0.345687i −0.219726 + 0.0137507i
\(633\) −39.8384 69.0021i −1.58343 2.74259i
\(634\) −5.25131 + 1.03918i −0.208556 + 0.0412712i
\(635\) 36.7485 + 11.8026i 1.45832 + 0.468371i
\(636\) 4.81456 + 3.70941i 0.190910 + 0.147088i
\(637\) −18.3861 8.71916i −0.728484 0.345466i
\(638\) 15.6045 + 5.31412i 0.617786 + 0.210388i
\(639\) −49.5555 28.6109i −1.96039 1.13183i
\(640\) −25.2971 + 0.242843i −0.999954 + 0.00959921i
\(641\) −10.7911 18.6907i −0.426222 0.738238i 0.570312 0.821428i \(-0.306822\pi\)
−0.996534 + 0.0831906i \(0.973489\pi\)
\(642\) −33.4571 + 29.2829i −1.32045 + 1.15570i
\(643\) −35.1575 −1.38648 −0.693239 0.720708i \(-0.743817\pi\)
−0.693239 + 0.720708i \(0.743817\pi\)
\(644\) −30.1979 2.80055i −1.18996 0.110357i
\(645\) −5.34990 + 1.15614i −0.210652 + 0.0455231i
\(646\) −10.1038 + 8.84322i −0.397528 + 0.347932i
\(647\) −0.0712919 + 0.0411604i −0.00280277 + 0.00161818i −0.501401 0.865215i \(-0.667182\pi\)
0.498598 + 0.866833i \(0.333848\pi\)
\(648\) −55.8304 27.7376i −2.19323 1.08964i
\(649\) 15.8702 + 9.16266i 0.622960 + 0.359666i
\(650\) −20.4579 + 1.99960i −0.802424 + 0.0784308i
\(651\) −2.68843 66.5235i −0.105368 2.60726i
\(652\) −20.1411 + 26.1417i −0.788785 + 1.02379i
\(653\) −12.0368 + 20.8484i −0.471037 + 0.815859i −0.999451 0.0331271i \(-0.989453\pi\)
0.528415 + 0.848987i \(0.322787\pi\)
\(654\) −2.92556 14.7838i −0.114399 0.578091i
\(655\) 3.08229 + 3.39995i 0.120435 + 0.132847i
\(656\) 6.04911 22.2255i 0.236178 0.867761i
\(657\) −13.3167 −0.519536
\(658\) 8.53362 + 8.99008i 0.332675 + 0.350470i
\(659\) 41.3082 1.60914 0.804569 0.593859i \(-0.202396\pi\)
0.804569 + 0.593859i \(0.202396\pi\)
\(660\) 20.1246 + 29.1922i 0.783350 + 1.13631i
\(661\) −9.80101 16.9759i −0.381215 0.660284i 0.610021 0.792385i \(-0.291161\pi\)
−0.991236 + 0.132101i \(0.957828\pi\)
\(662\) 10.6362 2.10481i 0.413389 0.0818057i
\(663\) 19.6071 + 11.3202i 0.761477 + 0.439639i
\(664\) 15.5904 10.3508i 0.605026 0.401689i
\(665\) −22.2726 6.17311i −0.863695 0.239383i
\(666\) 11.1272 32.6740i 0.431169 1.26609i
\(667\) 23.3854 + 13.5016i 0.905487 + 0.522783i
\(668\) −9.26156 1.23784i −0.358340 0.0478936i
\(669\) 18.7689 10.8362i 0.725648 0.418953i
\(670\) −12.0760 8.97230i −0.466535 0.346630i
\(671\) 0.718722 0.0277460
\(672\) −1.43750 + 47.9414i −0.0554530 + 1.84938i
\(673\) 38.8213i 1.49645i −0.663444 0.748226i \(-0.730906\pi\)
0.663444 0.748226i \(-0.269094\pi\)
\(674\) −26.4648 + 23.1630i −1.01939 + 0.892206i
\(675\) −55.6219 39.8377i −2.14089 1.53336i
\(676\) −1.20541 + 9.01889i −0.0463619 + 0.346880i
\(677\) −33.5675 19.3802i −1.29010 0.744842i −0.311431 0.950269i \(-0.600808\pi\)
−0.978672 + 0.205427i \(0.934142\pi\)
\(678\) 26.7742 + 9.11799i 1.02826 + 0.350174i
\(679\) 35.6536 22.5517i 1.36826 0.865454i
\(680\) 11.0148 + 10.7206i 0.422397 + 0.411116i
\(681\) 13.8111 23.9216i 0.529243 0.916676i
\(682\) 26.9511 5.33335i 1.03201 0.204225i
\(683\) 31.8093 18.3651i 1.21715 0.702721i 0.252842 0.967508i \(-0.418635\pi\)
0.964307 + 0.264786i \(0.0853013\pi\)
\(684\) 21.6339 + 52.5207i 0.827191 + 2.00818i
\(685\) −18.6996 + 4.04108i −0.714474 + 0.154402i
\(686\) −17.4792 + 19.5058i −0.667360 + 0.744736i
\(687\) −66.2639 −2.52812
\(688\) 0.802366 2.94803i 0.0305899 0.112393i
\(689\) −2.38730 + 1.37831i −0.0909487 + 0.0525093i
\(690\) 23.0559 + 53.3095i 0.877723 + 2.02946i
\(691\) 23.1244 + 13.3509i 0.879693 + 0.507891i 0.870557 0.492067i \(-0.163759\pi\)
0.00913605 + 0.999958i \(0.497092\pi\)
\(692\) −9.08753 + 11.7950i −0.345456 + 0.448378i
\(693\) 40.2161 25.4375i 1.52768 0.966292i
\(694\) −29.9038 10.1838i −1.13513 0.386571i
\(695\) 9.12507 28.4118i 0.346134 1.07772i
\(696\) 19.0011 38.2455i 0.720234 1.44969i
\(697\) −12.1200 + 6.99747i −0.459077 + 0.265048i
\(698\) 5.80473 + 6.63217i 0.219712 + 0.251031i
\(699\) 70.7744i 2.67693i
\(700\) −5.00735 + 25.9793i −0.189260 + 0.981927i
\(701\) 28.7252i 1.08494i 0.840076 + 0.542468i \(0.182510\pi\)
−0.840076 + 0.542468i \(0.817490\pi\)
\(702\) 42.3298 37.0487i 1.59764 1.39831i
\(703\) −11.3587 + 6.55796i −0.428402 + 0.247338i
\(704\) −19.6377 + 2.46757i −0.740125 + 0.0930000i
\(705\) 7.25907 22.6018i 0.273392 0.851233i
\(706\) 4.60688 13.5277i 0.173382 0.509122i
\(707\) −28.5010 14.9543i −1.07189 0.562416i
\(708\) 28.9746 37.6071i 1.08893 1.41336i
\(709\) 26.2847 + 15.1755i 0.987142 + 0.569927i 0.904419 0.426646i \(-0.140305\pi\)
0.0827230 + 0.996573i \(0.473638\pi\)
\(710\) 22.8456 9.88054i 0.857381 0.370810i
\(711\) 12.3196 7.11275i 0.462023 0.266749i
\(712\) 12.1448 0.760034i 0.455145 0.0284835i
\(713\) 45.0045 1.68543
\(714\) 21.1355 20.0624i 0.790976 0.750815i
\(715\) −15.7187 + 3.39690i −0.587847 + 0.127037i
\(716\) 17.9856 7.40846i 0.672152 0.276867i
\(717\) 29.9332 17.2819i 1.11787 0.645405i
\(718\) −5.84639 29.5436i −0.218185 1.10256i
\(719\) −23.6997 + 41.0491i −0.883849 + 1.53087i −0.0368218 + 0.999322i \(0.511723\pi\)
−0.847027 + 0.531549i \(0.821610\pi\)
\(720\) 57.9521 29.4887i 2.15975 1.09898i
\(721\) −33.3907 + 1.34943i −1.24354 + 0.0502553i
\(722\) −1.70408 + 5.00387i −0.0634192 + 0.186225i
\(723\) −49.5606 28.6138i −1.84318 1.06416i
\(724\) 1.51685 11.3491i 0.0563735 0.421787i
\(725\) 13.7170 19.1519i 0.509438 0.711283i
\(726\) −14.5637 16.6397i −0.540511 0.617559i
\(727\) 14.3064i 0.530595i −0.964167 0.265297i \(-0.914530\pi\)
0.964167 0.265297i \(-0.0854701\pi\)
\(728\) −19.8568 8.88438i −0.735943 0.329277i
\(729\) 28.6824 1.06231
\(730\) 3.45466 4.64968i 0.127863 0.172093i
\(731\) −1.60762 + 0.928157i −0.0594598 + 0.0343291i
\(732\) 0.246664 1.84554i 0.00911697 0.0682133i
\(733\) 6.48221 + 3.74251i 0.239426 + 0.138233i 0.614913 0.788595i \(-0.289191\pi\)
−0.375487 + 0.926828i \(0.622524\pi\)
\(734\) 40.5760 + 13.8182i 1.49769 + 0.510040i
\(735\) 48.8401 + 11.4347i 1.80149 + 0.421777i
\(736\) −32.3412 2.27951i −1.19211 0.0840239i
\(737\) −10.1931 5.88498i −0.375467 0.216776i
\(738\) 11.4930 + 58.0774i 0.423062 + 2.13786i
\(739\) 11.8579 + 20.5385i 0.436199 + 0.755519i 0.997393 0.0721655i \(-0.0229910\pi\)
−0.561193 + 0.827685i \(0.689658\pi\)
\(740\) 8.52184 + 12.3615i 0.313269 + 0.454419i
\(741\) −36.3940 −1.33697
\(742\) 0.828770 + 3.44998i 0.0304251 + 0.126653i
\(743\) −4.32810 −0.158783 −0.0793914 0.996844i \(-0.525298\pi\)
−0.0793914 + 0.996844i \(0.525298\pi\)
\(744\) −4.44549 71.0357i −0.162980 2.60430i
\(745\) 17.4276 + 19.2237i 0.638498 + 0.704303i
\(746\) 32.3804 6.40776i 1.18553 0.234605i
\(747\) −24.0496 + 41.6551i −0.879928 + 1.52408i
\(748\) 9.52587 + 7.33927i 0.348300 + 0.268350i
\(749\) −25.9350 + 1.04812i −0.947645 + 0.0382974i
\(750\) 48.2507 15.4702i 1.76187 0.564890i
\(751\) 1.87523 + 1.08267i 0.0684282 + 0.0395071i 0.533824 0.845596i \(-0.320755\pi\)
−0.465396 + 0.885103i \(0.654088\pi\)
\(752\) 9.33306 + 9.40677i 0.340342 + 0.343030i
\(753\) −30.5942 + 17.6636i −1.11492 + 0.643697i
\(754\) 12.7567 + 14.5751i 0.464572 + 0.530795i
\(755\) −33.8356 + 7.31207i −1.23140 + 0.266113i
\(756\) −30.2576 65.7801i −1.10046 2.39240i
\(757\) −21.9602 −0.798158 −0.399079 0.916917i \(-0.630670\pi\)
−0.399079 + 0.916917i \(0.630670\pi\)
\(758\) −8.89900 10.1675i −0.323226 0.369301i
\(759\) 22.7202 + 39.3525i 0.824691 + 1.42841i
\(760\) −23.9505 6.07135i −0.868775 0.220231i
\(761\) −5.54542 3.20165i −0.201021 0.116060i 0.396110 0.918203i \(-0.370360\pi\)
−0.597132 + 0.802143i \(0.703693\pi\)
\(762\) 25.2188 74.0527i 0.913579 2.68265i
\(763\) 4.08769 7.79062i 0.147984 0.282039i
\(764\) 3.75677 4.87604i 0.135915 0.176409i
\(765\) −37.6143 12.0807i −1.35995 0.436777i
\(766\) 5.14338 + 25.9911i 0.185838 + 0.939096i
\(767\) 10.7661 + 18.6474i 0.388741 + 0.673320i
\(768\) −0.403385 + 51.2729i −0.0145559 + 1.85015i
\(769\) 12.2214i 0.440714i 0.975419 + 0.220357i \(0.0707222\pi\)
−0.975419 + 0.220357i \(0.929278\pi\)
\(770\) −1.55116 + 20.6409i −0.0558999 + 0.743848i
\(771\) −99.5706 −3.58595
\(772\) −14.3811 34.9131i −0.517588 1.25655i
\(773\) 41.6408 24.0413i 1.49772 0.864706i 0.497719 0.867338i \(-0.334171\pi\)
0.999997 + 0.00263190i \(0.000837761\pi\)
\(774\) 1.52445 + 7.70350i 0.0547951 + 0.276896i