Properties

Label 483.2.r.a.181.31
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.31
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.385364 + 2.68027i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-5.11634 + 1.50229i) q^{4} +(2.40667 - 2.77745i) q^{5} +(0.762883 - 2.59814i) q^{6} +(2.27668 + 1.34785i) q^{7} +(-3.74845 - 8.20796i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.385364 + 2.68027i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-5.11634 + 1.50229i) q^{4} +(2.40667 - 2.77745i) q^{5} +(0.762883 - 2.59814i) q^{6} +(2.27668 + 1.34785i) q^{7} +(-3.74845 - 8.20796i) q^{8} +(0.654861 + 0.755750i) q^{9} +(8.37174 + 5.38019i) q^{10} +(3.87913 + 0.557734i) q^{11} +(5.27806 + 0.758870i) q^{12} +(-3.02542 + 4.70765i) q^{13} +(-2.73525 + 6.62153i) q^{14} +(-3.34298 + 1.52669i) q^{15} +(11.5833 - 7.44414i) q^{16} +(-0.384369 - 0.112861i) q^{17} +(-1.77325 + 2.04644i) q^{18} +(3.23735 - 0.950573i) q^{19} +(-8.14080 + 17.8259i) q^{20} +(-1.51103 - 2.17182i) q^{21} +10.6120i q^{22} +(1.28775 + 4.61971i) q^{23} +9.02339i q^{24} +(-1.21057 - 8.41969i) q^{25} +(-13.7836 - 6.29477i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-13.6732 - 3.47583i) q^{28} +(3.22663 + 0.947424i) q^{29} +(-5.38019 - 8.37174i) q^{30} +(3.10291 - 1.41705i) q^{31} +(12.5980 + 14.5388i) q^{32} +(-3.29689 - 2.11878i) q^{33} +(0.154375 - 1.07370i) q^{34} +(9.22282 - 3.07953i) q^{35} +(-4.48584 - 2.88288i) q^{36} +(-0.641460 + 0.555829i) q^{37} +(3.79535 + 8.31065i) q^{38} +(4.70765 - 3.02542i) q^{39} +(-31.8185 - 9.34274i) q^{40} +(1.20372 + 1.04303i) q^{41} +(5.23876 - 4.88689i) q^{42} +(-9.48239 - 4.33046i) q^{43} +(-20.6848 + 2.97403i) q^{44} +3.67509 q^{45} +(-11.8858 + 5.23179i) q^{46} -2.93088i q^{47} +(-13.6290 + 1.95955i) q^{48} +(3.36658 + 6.13727i) q^{49} +(22.1005 - 6.48929i) q^{50} +(0.302750 + 0.262334i) q^{51} +(8.40681 - 28.6310i) q^{52} +(3.96588 + 6.17103i) q^{53} +(2.46313 - 1.12487i) q^{54} +(10.8849 - 9.43179i) q^{55} +(2.52909 - 23.7393i) q^{56} +(-3.33968 - 0.480174i) q^{57} +(-1.29592 + 9.01334i) q^{58} +(-4.63819 + 7.21717i) q^{59} +(14.8103 - 12.8332i) q^{60} +(-0.480733 - 1.05266i) q^{61} +(4.99383 + 7.77056i) q^{62} +(0.472272 + 2.60326i) q^{63} +(-16.0794 + 18.5566i) q^{64} +(5.79404 + 19.7327i) q^{65} +(4.40839 - 9.65304i) q^{66} +(4.59946 - 0.661302i) q^{67} +2.13611 q^{68} +(0.747713 - 4.73719i) q^{69} +(11.8081 + 23.5329i) q^{70} +(-0.365028 - 2.53883i) q^{71} +(3.74845 - 8.20796i) q^{72} +(-1.83920 - 6.26372i) q^{73} +(-1.73696 - 1.50509i) q^{74} +(-2.39649 + 8.16171i) q^{75} +(-15.1353 + 9.72690i) q^{76} +(8.07980 + 6.49828i) q^{77} +(9.92309 + 11.4519i) q^{78} +(3.42825 - 5.33445i) q^{79} +(7.20152 - 50.0876i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-2.33173 + 3.62825i) q^{82} +(-10.6060 - 12.2399i) q^{83} +(10.9936 + 8.84176i) q^{84} +(-1.23851 + 0.795945i) q^{85} +(7.95262 - 27.0841i) q^{86} +(-2.54147 - 2.20220i) q^{87} +(-9.96285 - 33.9304i) q^{88} +(-0.0437458 + 0.0957899i) q^{89} +(1.41625 + 9.85022i) q^{90} +(-13.2331 + 6.64000i) q^{91} +(-13.5287 - 21.7014i) q^{92} -3.41118 q^{93} +(7.85554 - 1.12946i) q^{94} +(5.15108 - 11.2793i) q^{95} +(-5.41986 - 18.4584i) q^{96} +(-10.0427 + 11.5899i) q^{97} +(-15.1522 + 11.3884i) q^{98} +(2.11878 + 3.29689i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} + O(q^{10}) \) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} - 4q^{18} + 52q^{23} - 68q^{25} - 88q^{28} + 24q^{32} + 28q^{35} + 14q^{36} - 44q^{37} + 110q^{42} - 44q^{43} - 154q^{44} + 40q^{46} - 16q^{49} - 166q^{50} - 44q^{51} + 110q^{56} - 44q^{57} - 62q^{58} - 84q^{64} + 72q^{70} - 40q^{71} - 12q^{72} + 22q^{74} + 72q^{77} - 8q^{78} - 88q^{79} - 32q^{81} - 304q^{85} + 330q^{88} - 412q^{92} + 24q^{93} + 148q^{95} - 60q^{98} + 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.385364 + 2.68027i 0.272494 + 1.89523i 0.422198 + 0.906504i \(0.361259\pi\)
−0.149704 + 0.988731i \(0.547832\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −5.11634 + 1.50229i −2.55817 + 0.751146i
\(5\) 2.40667 2.77745i 1.07630 1.24211i 0.107512 0.994204i \(-0.465711\pi\)
0.968784 0.247908i \(-0.0797431\pi\)
\(6\) 0.762883 2.59814i 0.311446 1.06069i
\(7\) 2.27668 + 1.34785i 0.860506 + 0.509441i
\(8\) −3.74845 8.20796i −1.32528 2.90195i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 8.37174 + 5.38019i 2.64738 + 1.70137i
\(11\) 3.87913 + 0.557734i 1.16960 + 0.168163i 0.699621 0.714514i \(-0.253352\pi\)
0.469980 + 0.882677i \(0.344261\pi\)
\(12\) 5.27806 + 0.758870i 1.52364 + 0.219067i
\(13\) −3.02542 + 4.70765i −0.839101 + 1.30567i 0.111031 + 0.993817i \(0.464585\pi\)
−0.950132 + 0.311849i \(0.899052\pi\)
\(14\) −2.73525 + 6.62153i −0.731027 + 1.76968i
\(15\) −3.34298 + 1.52669i −0.863153 + 0.394189i
\(16\) 11.5833 7.44414i 2.89583 1.86104i
\(17\) −0.384369 0.112861i −0.0932231 0.0273728i 0.234788 0.972047i \(-0.424560\pi\)
−0.328011 + 0.944674i \(0.606378\pi\)
\(18\) −1.77325 + 2.04644i −0.417959 + 0.482351i
\(19\) 3.23735 0.950573i 0.742700 0.218076i 0.111573 0.993756i \(-0.464411\pi\)
0.631127 + 0.775680i \(0.282593\pi\)
\(20\) −8.14080 + 17.8259i −1.82034 + 3.98599i
\(21\) −1.51103 2.17182i −0.329733 0.473930i
\(22\) 10.6120i 2.26249i
\(23\) 1.28775 + 4.61971i 0.268515 + 0.963275i
\(24\) 9.02339i 1.84189i
\(25\) −1.21057 8.41969i −0.242114 1.68394i
\(26\) −13.7836 6.29477i −2.70319 1.23451i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −13.6732 3.47583i −2.58398 0.656869i
\(29\) 3.22663 + 0.947424i 0.599170 + 0.175932i 0.567233 0.823558i \(-0.308014\pi\)
0.0319377 + 0.999490i \(0.489832\pi\)
\(30\) −5.38019 8.37174i −0.982284 1.52846i
\(31\) 3.10291 1.41705i 0.557300 0.254510i −0.116794 0.993156i \(-0.537262\pi\)
0.674094 + 0.738646i \(0.264534\pi\)
\(32\) 12.5980 + 14.5388i 2.22703 + 2.57012i
\(33\) −3.29689 2.11878i −0.573914 0.368832i
\(34\) 0.154375 1.07370i 0.0264751 0.184139i
\(35\) 9.22282 3.07953i 1.55894 0.520535i
\(36\) −4.48584 2.88288i −0.747641 0.480480i
\(37\) −0.641460 + 0.555829i −0.105455 + 0.0913777i −0.705993 0.708219i \(-0.749499\pi\)
0.600537 + 0.799597i \(0.294953\pi\)
\(38\) 3.79535 + 8.31065i 0.615687 + 1.34817i
\(39\) 4.70765 3.02542i 0.753827 0.484455i
\(40\) −31.8185 9.34274i −5.03094 1.47722i
\(41\) 1.20372 + 1.04303i 0.187990 + 0.162894i 0.743771 0.668434i \(-0.233035\pi\)
−0.555781 + 0.831329i \(0.687581\pi\)
\(42\) 5.23876 4.88689i 0.808358 0.754064i
\(43\) −9.48239 4.33046i −1.44605 0.660390i −0.470952 0.882159i \(-0.656090\pi\)
−0.975099 + 0.221769i \(0.928817\pi\)
\(44\) −20.6848 + 2.97403i −3.11835 + 0.448351i
\(45\) 3.67509 0.547850
\(46\) −11.8858 + 5.23179i −1.75246 + 0.771386i
\(47\) 2.93088i 0.427513i −0.976887 0.213756i \(-0.931430\pi\)
0.976887 0.213756i \(-0.0685698\pi\)
\(48\) −13.6290 + 1.95955i −1.96717 + 0.282837i
\(49\) 3.36658 + 6.13727i 0.480940 + 0.876753i
\(50\) 22.1005 6.48929i 3.12548 0.917725i
\(51\) 0.302750 + 0.262334i 0.0423935 + 0.0367342i
\(52\) 8.40681 28.6310i 1.16581 3.97040i
\(53\) 3.96588 + 6.17103i 0.544755 + 0.847656i 0.999067 0.0431870i \(-0.0137511\pi\)
−0.454312 + 0.890843i \(0.650115\pi\)
\(54\) 2.46313 1.12487i 0.335189 0.153076i
\(55\) 10.8849 9.43179i 1.46771 1.27178i
\(56\) 2.52909 23.7393i 0.337964 3.17230i
\(57\) −3.33968 0.480174i −0.442352 0.0636006i
\(58\) −1.29592 + 9.01334i −0.170163 + 1.18351i
\(59\) −4.63819 + 7.21717i −0.603842 + 0.939596i 0.395931 + 0.918280i \(0.370422\pi\)
−0.999773 + 0.0213156i \(0.993215\pi\)
\(60\) 14.8103 12.8332i 1.91200 1.65676i
\(61\) −0.480733 1.05266i −0.0615515 0.134779i 0.876357 0.481663i \(-0.159967\pi\)
−0.937908 + 0.346884i \(0.887240\pi\)
\(62\) 4.99383 + 7.77056i 0.634217 + 0.986862i
\(63\) 0.472272 + 2.60326i 0.0595006 + 0.327980i
\(64\) −16.0794 + 18.5566i −2.00993 + 2.31958i
\(65\) 5.79404 + 19.7327i 0.718663 + 2.44754i
\(66\) 4.40839 9.65304i 0.542636 1.18821i
\(67\) 4.59946 0.661302i 0.561913 0.0807909i 0.144495 0.989506i \(-0.453844\pi\)
0.417418 + 0.908715i \(0.362935\pi\)
\(68\) 2.13611 0.259041
\(69\) 0.747713 4.73719i 0.0900141 0.570290i
\(70\) 11.8081 + 23.5329i 1.41134 + 2.81272i
\(71\) −0.365028 2.53883i −0.0433209 0.301303i −0.999950 0.00999492i \(-0.996818\pi\)
0.956629 0.291309i \(-0.0940906\pi\)
\(72\) 3.74845 8.20796i 0.441759 0.967317i
\(73\) −1.83920 6.26372i −0.215262 0.733114i −0.994345 0.106194i \(-0.966134\pi\)
0.779084 0.626920i \(-0.215685\pi\)
\(74\) −1.73696 1.50509i −0.201918 0.174963i
\(75\) −2.39649 + 8.16171i −0.276723 + 0.942433i
\(76\) −15.1353 + 9.72690i −1.73614 + 1.11575i
\(77\) 8.07980 + 6.49828i 0.920779 + 0.740548i
\(78\) 9.92309 + 11.4519i 1.12357 + 1.29667i
\(79\) 3.42825 5.33445i 0.385708 0.600173i −0.593057 0.805161i \(-0.702079\pi\)
0.978765 + 0.204988i \(0.0657154\pi\)
\(80\) 7.20152 50.0876i 0.805154 5.59997i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −2.33173 + 3.62825i −0.257497 + 0.400673i
\(83\) −10.6060 12.2399i −1.16416 1.34351i −0.928350 0.371707i \(-0.878773\pi\)
−0.235805 0.971800i \(-0.575773\pi\)
\(84\) 10.9936 + 8.84176i 1.19950 + 0.964715i
\(85\) −1.23851 + 0.795945i −0.134336 + 0.0863323i
\(86\) 7.95262 27.0841i 0.857553 2.92056i
\(87\) −2.54147 2.20220i −0.272474 0.236100i
\(88\) −9.96285 33.9304i −1.06204 3.61699i
\(89\) −0.0437458 + 0.0957899i −0.00463704 + 0.0101537i −0.911936 0.410332i \(-0.865413\pi\)
0.907299 + 0.420485i \(0.138140\pi\)
\(90\) 1.41625 + 9.85022i 0.149286 + 1.03830i
\(91\) −13.2331 + 6.64000i −1.38721 + 0.696061i
\(92\) −13.5287 21.7014i −1.41047 2.26253i
\(93\) −3.41118 −0.353722
\(94\) 7.85554 1.12946i 0.810237 0.116494i
\(95\) 5.15108 11.2793i 0.528490 1.15723i
\(96\) −5.41986 18.4584i −0.553162 1.88390i
\(97\) −10.0427 + 11.5899i −1.01969 + 1.17678i −0.0355491 + 0.999368i \(0.511318\pi\)
−0.984137 + 0.177412i \(0.943227\pi\)
\(98\) −15.1522 + 11.3884i −1.53060 + 1.15040i
\(99\) 2.11878 + 3.29689i 0.212945 + 0.331350i
\(100\) 18.8425 + 41.2593i 1.88425 + 4.12593i
\(101\) 3.01838 2.61544i 0.300340 0.260246i −0.491633 0.870803i \(-0.663600\pi\)
0.791973 + 0.610557i \(0.209054\pi\)
\(102\) −0.586457 + 0.912545i −0.0580679 + 0.0903554i
\(103\) 2.23338 15.5335i 0.220061 1.53056i −0.517739 0.855539i \(-0.673226\pi\)
0.737800 0.675020i \(-0.235865\pi\)
\(104\) 49.9808 + 7.18616i 4.90102 + 0.704661i
\(105\) −9.66866 1.03006i −0.943564 0.100524i
\(106\) −15.0117 + 13.0077i −1.45806 + 1.26342i
\(107\) −5.84066 + 2.66734i −0.564638 + 0.257861i −0.677219 0.735781i \(-0.736815\pi\)
0.112582 + 0.993642i \(0.464088\pi\)
\(108\) 2.88288 + 4.48584i 0.277405 + 0.431651i
\(109\) −0.0159038 + 0.0541635i −0.00152331 + 0.00518792i −0.960251 0.279138i \(-0.909951\pi\)
0.958728 + 0.284325i \(0.0917696\pi\)
\(110\) 29.4743 + 25.5397i 2.81027 + 2.43511i
\(111\) 0.814392 0.239127i 0.0772987 0.0226969i
\(112\) 36.4052 1.33536i 3.43996 0.126179i
\(113\) −2.91415 + 0.418992i −0.274140 + 0.0394154i −0.278014 0.960577i \(-0.589676\pi\)
0.00387349 + 0.999992i \(0.498767\pi\)
\(114\) 9.13628i 0.855691i
\(115\) 15.9302 + 7.54145i 1.48550 + 0.703244i
\(116\) −17.9318 −1.66493
\(117\) −5.53903 + 0.796392i −0.512084 + 0.0736265i
\(118\) −21.1313 9.65036i −1.94530 0.888387i
\(119\) −0.722966 0.775021i −0.0662742 0.0710461i
\(120\) 25.0620 + 21.7163i 2.28783 + 1.98242i
\(121\) 4.18214 + 1.22799i 0.380195 + 0.111635i
\(122\) 2.63615 1.69415i 0.238665 0.153381i
\(123\) −0.661654 1.44882i −0.0596593 0.130636i
\(124\) −13.7467 + 11.9116i −1.23449 + 1.06969i
\(125\) −10.8403 6.96662i −0.969584 0.623114i
\(126\) −6.79543 + 2.26902i −0.605385 + 0.202140i
\(127\) 1.96927 13.6966i 0.174745 1.21538i −0.693948 0.720025i \(-0.744130\pi\)
0.868693 0.495351i \(-0.164961\pi\)
\(128\) −23.5657 15.1448i −2.08293 1.33862i
\(129\) 6.82655 + 7.87826i 0.601044 + 0.693642i
\(130\) −50.6561 + 23.1339i −4.44283 + 2.02897i
\(131\) 6.34599 + 9.87456i 0.554452 + 0.862744i 0.999463 0.0327812i \(-0.0104364\pi\)
−0.445011 + 0.895525i \(0.646800\pi\)
\(132\) 20.0510 + 5.88751i 1.74522 + 0.512442i
\(133\) 8.65166 + 2.19932i 0.750194 + 0.190706i
\(134\) 3.54493 + 12.0729i 0.306235 + 1.04294i
\(135\) −3.34298 1.52669i −0.287718 0.131396i
\(136\) 0.514430 + 3.57794i 0.0441120 + 0.306806i
\(137\) 1.94789i 0.166420i 0.996532 + 0.0832098i \(0.0265172\pi\)
−0.996532 + 0.0832098i \(0.973483\pi\)
\(138\) 12.9851 + 0.178530i 1.10536 + 0.0151975i
\(139\) 16.7596i 1.42153i −0.703429 0.710765i \(-0.748349\pi\)
0.703429 0.710765i \(-0.251651\pi\)
\(140\) −42.5607 + 29.6113i −3.59704 + 2.50261i
\(141\) −1.21753 + 2.66602i −0.102535 + 0.224519i
\(142\) 6.66407 1.95675i 0.559236 0.164207i
\(143\) −14.3616 + 16.5742i −1.20098 + 1.38600i
\(144\) 13.2114 + 3.87921i 1.10095 + 0.323267i
\(145\) 10.3969 6.68166i 0.863412 0.554881i
\(146\) 16.0797 7.34335i 1.33076 0.607740i
\(147\) −0.512836 6.98119i −0.0422980 0.575799i
\(148\) 2.44691 3.80747i 0.201135 0.312972i
\(149\) −0.667883 0.0960271i −0.0547151 0.00786685i 0.114903 0.993377i \(-0.463344\pi\)
−0.169618 + 0.985510i \(0.554253\pi\)
\(150\) −22.7991 3.27801i −1.86154 0.267649i
\(151\) 16.5546 + 10.6390i 1.34719 + 0.865788i 0.997472 0.0710664i \(-0.0226402\pi\)
0.349720 + 0.936854i \(0.386277\pi\)
\(152\) −19.9373 23.0089i −1.61713 1.86627i
\(153\) −0.166413 0.364395i −0.0134537 0.0294596i
\(154\) −14.3035 + 24.1602i −1.15261 + 1.94689i
\(155\) 3.53190 12.0286i 0.283689 0.966157i
\(156\) −19.5408 + 22.5513i −1.56452 + 1.80555i
\(157\) −18.8889 + 5.54628i −1.50750 + 0.442641i −0.928077 0.372387i \(-0.878539\pi\)
−0.579420 + 0.815029i \(0.696721\pi\)
\(158\) 15.6189 + 7.13290i 1.24257 + 0.567463i
\(159\) −1.04395 7.26085i −0.0827908 0.575823i
\(160\) 70.6999 5.58932
\(161\) −3.29488 + 12.2533i −0.259673 + 0.965697i
\(162\) −2.70783 −0.212747
\(163\) −2.51298 17.4782i −0.196832 1.36900i −0.813404 0.581699i \(-0.802388\pi\)
0.616572 0.787299i \(-0.288521\pi\)
\(164\) −7.72559 3.52816i −0.603268 0.275503i
\(165\) −13.8193 + 4.05772i −1.07583 + 0.315893i
\(166\) 28.7191 33.1436i 2.22904 2.57245i
\(167\) 2.56320 8.72945i 0.198346 0.675505i −0.798908 0.601453i \(-0.794589\pi\)
0.997254 0.0740522i \(-0.0235932\pi\)
\(168\) −12.1622 + 20.5434i −0.938334 + 1.58496i
\(169\) −7.60837 16.6600i −0.585259 1.28154i
\(170\) −2.61062 3.01282i −0.200226 0.231073i
\(171\) 2.83841 + 1.82414i 0.217059 + 0.139495i
\(172\) 55.0207 + 7.91079i 4.19529 + 0.603192i
\(173\) −9.79318 1.40805i −0.744562 0.107052i −0.240415 0.970670i \(-0.577284\pi\)
−0.504146 + 0.863618i \(0.668193\pi\)
\(174\) 4.92309 7.66047i 0.373218 0.580739i
\(175\) 8.59243 20.8006i 0.649526 1.57238i
\(176\) 49.0850 22.4164i 3.69992 1.68970i
\(177\) 7.21717 4.63819i 0.542476 0.348628i
\(178\) −0.273601 0.0803364i −0.0205072 0.00602146i
\(179\) 6.05220 6.98461i 0.452363 0.522055i −0.483059 0.875588i \(-0.660474\pi\)
0.935422 + 0.353533i \(0.115020\pi\)
\(180\) −18.8030 + 5.52106i −1.40149 + 0.411515i
\(181\) −2.66036 + 5.82537i −0.197743 + 0.432997i −0.982364 0.186979i \(-0.940130\pi\)
0.784621 + 0.619976i \(0.212858\pi\)
\(182\) −22.8965 32.9095i −1.69721 2.43942i
\(183\) 1.15723i 0.0855453i
\(184\) 33.0913 27.8866i 2.43952 2.05583i
\(185\) 3.11932i 0.229337i
\(186\) −1.31454 9.14286i −0.0963871 0.670387i
\(187\) −1.42807 0.652177i −0.104431 0.0476919i
\(188\) 4.40304 + 14.9954i 0.321124 + 1.09365i
\(189\) 0.651840 2.56420i 0.0474144 0.186518i
\(190\) 32.2165 + 9.45963i 2.33723 + 0.686274i
\(191\) 0.227827 + 0.354506i 0.0164850 + 0.0256511i 0.849398 0.527752i \(-0.176965\pi\)
−0.832913 + 0.553404i \(0.813329\pi\)
\(192\) 22.3350 10.2001i 1.61189 0.736127i
\(193\) −10.9184 12.6005i −0.785926 0.907007i 0.211596 0.977357i \(-0.432134\pi\)
−0.997522 + 0.0703501i \(0.977588\pi\)
\(194\) −34.9342 22.4509i −2.50813 1.61188i
\(195\) 2.92681 20.3564i 0.209593 1.45775i
\(196\) −26.4445 26.3428i −1.88890 1.88163i
\(197\) −5.96093 3.83086i −0.424699 0.272937i 0.310784 0.950480i \(-0.399408\pi\)
−0.735483 + 0.677543i \(0.763045\pi\)
\(198\) −8.02003 + 6.94940i −0.569959 + 0.493872i
\(199\) −5.42227 11.8731i −0.384374 0.841662i −0.998618 0.0525463i \(-0.983266\pi\)
0.614244 0.789116i \(-0.289461\pi\)
\(200\) −64.5707 + 41.4971i −4.56584 + 2.93429i
\(201\) −4.45853 1.30914i −0.314480 0.0923397i
\(202\) 8.17326 + 7.08217i 0.575068 + 0.498300i
\(203\) 6.06903 + 6.50601i 0.425963 + 0.456633i
\(204\) −1.94307 0.887372i −0.136042 0.0621285i
\(205\) 5.79393 0.833042i 0.404666 0.0581822i
\(206\) 42.4945 2.96073
\(207\) −2.64804 + 3.99848i −0.184052 + 0.277914i
\(208\) 77.0518i 5.34258i
\(209\) 13.0883 1.88181i 0.905335 0.130167i
\(210\) −0.965118 26.3115i −0.0665995 1.81567i
\(211\) −20.9127 + 6.14051i −1.43969 + 0.422730i −0.906117 0.423026i \(-0.860968\pi\)
−0.533569 + 0.845757i \(0.679150\pi\)
\(212\) −29.5615 25.6151i −2.03029 1.75926i
\(213\) −0.722626 + 2.46104i −0.0495135 + 0.168628i
\(214\) −9.39996 14.6266i −0.642568 0.999855i
\(215\) −34.8486 + 15.9148i −2.37666 + 1.08538i
\(216\) −6.81942 + 5.90906i −0.464003 + 0.402061i
\(217\) 8.97434 + 0.956090i 0.609218 + 0.0649036i
\(218\) −0.151301 0.0217538i −0.0102474 0.00147336i
\(219\) −0.929054 + 6.46171i −0.0627797 + 0.436642i
\(220\) −41.5213 + 64.6084i −2.79937 + 4.35590i
\(221\) 1.69419 1.46802i 0.113963 0.0987497i
\(222\) 0.954762 + 2.09064i 0.0640794 + 0.140314i
\(223\) 0.493843 + 0.768435i 0.0330702 + 0.0514582i 0.857395 0.514659i \(-0.172081\pi\)
−0.824325 + 0.566117i \(0.808445\pi\)
\(224\) 9.08538 + 50.0805i 0.607043 + 3.34614i
\(225\) 5.57042 6.42861i 0.371362 0.428574i
\(226\) −2.24602 7.64924i −0.149403 0.508820i
\(227\) 3.46954 7.59724i 0.230282 0.504247i −0.758852 0.651263i \(-0.774240\pi\)
0.989134 + 0.147016i \(0.0469669\pi\)
\(228\) 17.8083 2.56045i 1.17938 0.169570i
\(229\) −9.07595 −0.599756 −0.299878 0.953978i \(-0.596946\pi\)
−0.299878 + 0.953978i \(0.596946\pi\)
\(230\) −14.0742 + 45.6033i −0.928023 + 3.00700i
\(231\) −4.65017 9.26752i −0.305958 0.609758i
\(232\) −4.31844 30.0354i −0.283520 1.97192i
\(233\) 0.961932 2.10634i 0.0630183 0.137991i −0.875502 0.483214i \(-0.839469\pi\)
0.938521 + 0.345223i \(0.112197\pi\)
\(234\) −4.26909 14.5392i −0.279079 0.950456i
\(235\) −8.14036 7.05366i −0.531018 0.460130i
\(236\) 12.8883 43.8934i 0.838955 2.85722i
\(237\) −5.33445 + 3.42825i −0.346510 + 0.222688i
\(238\) 1.79866 2.23641i 0.116590 0.144965i
\(239\) 6.96588 + 8.03906i 0.450586 + 0.520003i 0.934910 0.354885i \(-0.115480\pi\)
−0.484324 + 0.874888i \(0.660935\pi\)
\(240\) −27.3579 + 42.5697i −1.76594 + 2.74786i
\(241\) −1.18840 + 8.26548i −0.0765513 + 0.532426i 0.915075 + 0.403284i \(0.132131\pi\)
−0.991626 + 0.129142i \(0.958778\pi\)
\(242\) −1.67969 + 11.6825i −0.107974 + 0.750978i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 4.04099 + 4.66355i 0.258698 + 0.298553i
\(245\) 25.1482 + 5.41989i 1.60666 + 0.346264i
\(246\) 3.62825 2.33173i 0.231329 0.148666i
\(247\) −5.31939 + 18.1162i −0.338465 + 1.15271i
\(248\) −23.2622 20.1568i −1.47715 1.27996i
\(249\) 4.56287 + 15.5397i 0.289160 + 0.984789i
\(250\) 14.4950 31.7395i 0.916741 2.00738i
\(251\) −1.91957 13.3509i −0.121162 0.842702i −0.956243 0.292575i \(-0.905488\pi\)
0.835080 0.550128i \(-0.185421\pi\)
\(252\) −6.32716 12.6097i −0.398573 0.794334i
\(253\) 2.41879 + 18.6387i 0.152068 + 1.17180i
\(254\) 37.4694 2.35104
\(255\) 1.45724 0.209519i 0.0912559 0.0131206i
\(256\) 11.1105 24.3285i 0.694404 1.52053i
\(257\) 6.32792 + 21.5509i 0.394725 + 1.34431i 0.882077 + 0.471104i \(0.156144\pi\)
−0.487353 + 0.873205i \(0.662037\pi\)
\(258\) −18.4851 + 21.3330i −1.15083 + 1.32813i
\(259\) −2.20958 + 0.400852i −0.137297 + 0.0249077i
\(260\) −59.2885 92.2548i −3.67692 5.72140i
\(261\) 1.39698 + 3.05896i 0.0864708 + 0.189345i
\(262\) −24.0209 + 20.8143i −1.48402 + 1.28591i
\(263\) 2.49897 3.88847i 0.154093 0.239773i −0.755621 0.655009i \(-0.772665\pi\)
0.909714 + 0.415236i \(0.136301\pi\)
\(264\) −5.03265 + 35.0029i −0.309738 + 2.15428i
\(265\) 26.6843 + 3.83662i 1.63920 + 0.235682i
\(266\) −2.56073 + 24.0363i −0.157009 + 1.47376i
\(267\) 0.0795851 0.0689609i 0.00487053 0.00422034i
\(268\) −22.5389 + 10.2932i −1.37678 + 0.628755i
\(269\) 2.90689 + 4.52321i 0.177236 + 0.275785i 0.918493 0.395436i \(-0.129407\pi\)
−0.741257 + 0.671221i \(0.765770\pi\)
\(270\) 2.80366 9.54840i 0.170626 0.581097i
\(271\) −1.05836 0.917074i −0.0642908 0.0557083i 0.622123 0.782920i \(-0.286270\pi\)
−0.686413 + 0.727211i \(0.740816\pi\)
\(272\) −5.29242 + 1.55399i −0.320900 + 0.0942247i
\(273\) 14.7956 0.542711i 0.895473 0.0328463i
\(274\) −5.22087 + 0.750648i −0.315404 + 0.0453483i
\(275\) 33.3362i 2.01025i
\(276\) 3.29108 + 25.3603i 0.198100 + 1.52651i
\(277\) −4.65687 −0.279804 −0.139902 0.990165i \(-0.544679\pi\)
−0.139902 + 0.990165i \(0.544679\pi\)
\(278\) 44.9202 6.45855i 2.69413 0.387358i
\(279\) 3.10291 + 1.41705i 0.185767 + 0.0848368i
\(280\) −59.8479 64.1571i −3.57660 3.83412i
\(281\) 17.1824 + 14.8886i 1.02501 + 0.888179i 0.993783 0.111333i \(-0.0355121\pi\)
0.0312301 + 0.999512i \(0.490058\pi\)
\(282\) −7.61484 2.23592i −0.453457 0.133147i
\(283\) −15.1760 + 9.75303i −0.902120 + 0.579758i −0.907418 0.420228i \(-0.861950\pi\)
0.00529798 + 0.999986i \(0.498314\pi\)
\(284\) 5.68167 + 12.4411i 0.337145 + 0.738245i
\(285\) −9.37117 + 8.12017i −0.555100 + 0.480997i
\(286\) −49.9577 32.1058i −2.95406 1.89846i
\(287\) 1.33464 + 3.99710i 0.0787815 + 0.235941i
\(288\) −2.73780 + 19.0418i −0.161326 + 1.12205i
\(289\) −14.1663 9.10413i −0.833312 0.535537i
\(290\) 21.9152 + 25.2915i 1.28690 + 1.48517i
\(291\) 13.9498 6.37068i 0.817754 0.373456i
\(292\) 18.8199 + 29.2843i 1.10135 + 1.71373i
\(293\) −15.7272 4.61791i −0.918791 0.269781i −0.212054 0.977258i \(-0.568015\pi\)
−0.706737 + 0.707477i \(0.749834\pi\)
\(294\) 18.5138 4.06484i 1.07975 0.237066i
\(295\) 8.88270 + 30.2517i 0.517171 + 1.76132i
\(296\) 6.96670 + 3.18159i 0.404931 + 0.184926i
\(297\) −0.557734 3.87913i −0.0323630 0.225090i
\(298\) 1.82711i 0.105842i
\(299\) −25.6439 7.91427i −1.48303 0.457694i
\(300\) 45.3583i 2.61876i
\(301\) −15.7516 22.6400i −0.907906 1.30495i
\(302\) −22.1358 + 48.4705i −1.27377 + 2.78917i
\(303\) −3.83211 + 1.12521i −0.220149 + 0.0646416i
\(304\) 30.4231 35.1101i 1.74488 2.01370i
\(305\) −4.08067 1.19819i −0.233658 0.0686083i
\(306\) 0.912545 0.586457i 0.0521667 0.0335255i
\(307\) −30.3670 + 13.8682i −1.73314 + 0.791497i −0.740265 + 0.672315i \(0.765300\pi\)
−0.992872 + 0.119182i \(0.961973\pi\)
\(308\) −51.1013 21.1092i −2.91177 1.20281i
\(309\) −8.48439 + 13.2020i −0.482660 + 0.751034i
\(310\) 33.6008 + 4.83107i 1.90840 + 0.274386i
\(311\) −33.7614 4.85415i −1.91443 0.275254i −0.920990 0.389587i \(-0.872618\pi\)
−0.993442 + 0.114333i \(0.963527\pi\)
\(312\) −42.4789 27.2995i −2.40489 1.54553i
\(313\) 9.02703 + 10.4177i 0.510238 + 0.588846i 0.951160 0.308700i \(-0.0998938\pi\)
−0.440922 + 0.897546i \(0.645348\pi\)
\(314\) −22.1446 48.4899i −1.24969 2.73645i
\(315\) 8.36702 + 4.95348i 0.471428 + 0.279097i
\(316\) −9.52615 + 32.4431i −0.535888 + 1.82507i
\(317\) 4.56173 5.26451i 0.256212 0.295685i −0.613042 0.790051i \(-0.710054\pi\)
0.869254 + 0.494366i \(0.164600\pi\)
\(318\) 19.0587 5.59614i 1.06876 0.313816i
\(319\) 11.9881 + 5.47478i 0.671205 + 0.306529i
\(320\) 12.8422 + 89.3194i 0.717900 + 4.99311i
\(321\) 6.42090 0.358380
\(322\) −34.1119 4.10916i −1.90098 0.228995i
\(323\) −1.35162 −0.0752061
\(324\) −0.758870 5.27806i −0.0421595 0.293225i
\(325\) 43.2994 + 19.7742i 2.40182 + 1.09687i
\(326\) 45.8778 13.4709i 2.54094 0.746086i
\(327\) 0.0369669 0.0426621i 0.00204428 0.00235922i
\(328\) 4.04907 13.7899i 0.223573 0.761418i
\(329\) 3.95039 6.67269i 0.217792 0.367877i
\(330\) −16.2012 35.4758i −0.891849 1.95288i
\(331\) 1.38045 + 1.59313i 0.0758766 + 0.0875663i 0.792419 0.609978i \(-0.208822\pi\)
−0.716542 + 0.697544i \(0.754276\pi\)
\(332\) 72.6516 + 46.6904i 3.98728 + 2.56247i
\(333\) −0.840134 0.120793i −0.0460391 0.00661942i
\(334\) 24.3850 + 3.50604i 1.33429 + 0.191842i
\(335\) 9.23265 14.3663i 0.504433 0.784914i
\(336\) −33.6700 13.9086i −1.83685 0.758775i
\(337\) 16.6247 7.59225i 0.905605 0.413576i 0.0925134 0.995711i \(-0.470510\pi\)
0.813092 + 0.582135i \(0.197783\pi\)
\(338\) 41.7212 26.8126i 2.26934 1.45841i
\(339\) 2.82486 + 0.829454i 0.153425 + 0.0450498i
\(340\) 5.14091 5.93293i 0.278805 0.321758i
\(341\) 12.8269 3.76633i 0.694618 0.203958i
\(342\) −3.79535 + 8.31065i −0.205229 + 0.449389i
\(343\) −0.607498 + 18.5103i −0.0328018 + 0.999462i
\(344\) 94.0636i 5.07157i
\(345\) −11.3578 13.4776i −0.611482 0.725609i
\(346\) 26.7909i 1.44029i
\(347\) 3.77741 + 26.2725i 0.202782 + 1.41038i 0.795980 + 0.605323i \(0.206956\pi\)
−0.593198 + 0.805057i \(0.702135\pi\)
\(348\) 16.3114 + 7.44916i 0.874382 + 0.399317i
\(349\) −9.00740 30.6764i −0.482155 1.64207i −0.737594 0.675245i \(-0.764038\pi\)
0.255438 0.966825i \(-0.417780\pi\)
\(350\) 59.0625 + 15.0142i 3.15702 + 0.802541i
\(351\) 5.36931 + 1.57657i 0.286593 + 0.0841512i
\(352\) 40.7603 + 63.4243i 2.17253 + 3.38052i
\(353\) 16.0810 7.34395i 0.855906 0.390879i 0.0613835 0.998114i \(-0.480449\pi\)
0.794522 + 0.607235i \(0.207721\pi\)
\(354\) 15.2128 + 17.5565i 0.808553 + 0.933120i
\(355\) −7.92996 5.09628i −0.420879 0.270482i
\(356\) 0.0799137 0.555812i 0.00423542 0.0294580i
\(357\) 0.335678 + 1.00532i 0.0177660 + 0.0532069i
\(358\) 21.0529 + 13.5299i 1.11268 + 0.715077i
\(359\) −21.5038 + 18.6332i −1.13493 + 0.983421i −0.999972 0.00743050i \(-0.997635\pi\)
−0.134956 + 0.990852i \(0.543089\pi\)
\(360\) −13.7759 30.1650i −0.726053 1.58983i
\(361\) −6.40695 + 4.11750i −0.337208 + 0.216710i
\(362\) −16.6388 4.88558i −0.874514 0.256780i
\(363\) −3.29408 2.85434i −0.172895 0.149814i
\(364\) 57.7300 53.8525i 3.02587 2.82264i
\(365\) −21.8235 9.96646i −1.14229 0.521668i
\(366\) −3.10170 + 0.445957i −0.162128 + 0.0233105i
\(367\) 23.7968 1.24218 0.621091 0.783738i \(-0.286690\pi\)
0.621091 + 0.783738i \(0.286690\pi\)
\(368\) 49.3062 + 43.9253i 2.57026 + 2.28976i
\(369\) 1.59275i 0.0829155i
\(370\) −8.36060 + 1.20207i −0.434647 + 0.0624928i
\(371\) 0.711414 + 19.3949i 0.0369347 + 1.00693i
\(372\) 17.4527 5.12458i 0.904881 0.265697i
\(373\) 5.86810 + 5.08473i 0.303838 + 0.263278i 0.793413 0.608684i \(-0.208302\pi\)
−0.489574 + 0.871962i \(0.662848\pi\)
\(374\) 1.19768 4.07893i 0.0619307 0.210917i
\(375\) 6.96662 + 10.8403i 0.359755 + 0.559790i
\(376\) −24.0565 + 10.9863i −1.24062 + 0.566573i
\(377\) −14.2221 + 12.3235i −0.732473 + 0.634692i
\(378\) 7.12393 + 0.758955i 0.366415 + 0.0390364i
\(379\) −0.662683 0.0952794i −0.0340397 0.00489418i 0.125274 0.992122i \(-0.460019\pi\)
−0.159314 + 0.987228i \(0.550928\pi\)
\(380\) −9.40987 + 65.4471i −0.482716 + 3.35736i
\(381\) −7.48109 + 11.6408i −0.383268 + 0.596376i
\(382\) −0.862373 + 0.747251i −0.0441229 + 0.0382327i
\(383\) 13.5941 + 29.7670i 0.694628 + 1.52102i 0.846366 + 0.532602i \(0.178786\pi\)
−0.151738 + 0.988421i \(0.548487\pi\)
\(384\) 15.1448 + 23.5657i 0.772853 + 1.20258i
\(385\) 37.4941 6.80200i 1.91087 0.346662i
\(386\) 29.5652 34.1201i 1.50483 1.73667i
\(387\) −2.93690 10.0022i −0.149291 0.508439i
\(388\) 33.9706 74.3852i 1.72459 3.77633i
\(389\) −34.6162 + 4.97706i −1.75511 + 0.252347i −0.943388 0.331692i \(-0.892380\pi\)
−0.811725 + 0.584039i \(0.801471\pi\)
\(390\) 55.6885 2.81990
\(391\) 0.0264117 1.92101i 0.00133570 0.0971495i
\(392\) 37.7550 50.6380i 1.90692 2.55761i
\(393\) −1.67048 11.6184i −0.0842645 0.586073i
\(394\) 7.97059 17.4531i 0.401552 0.879277i
\(395\) −6.56550 22.3600i −0.330346 1.12506i
\(396\) −15.7933 13.6850i −0.793642 0.687695i
\(397\) −2.44258 + 8.31865i −0.122589 + 0.417501i −0.997804 0.0662334i \(-0.978902\pi\)
0.875215 + 0.483735i \(0.160720\pi\)
\(398\) 29.7335 19.1086i 1.49041 0.957827i
\(399\) −6.95620 5.59461i −0.348245 0.280081i
\(400\) −76.6998 88.5163i −3.83499 4.42581i
\(401\) 4.41451 6.86912i 0.220450 0.343027i −0.713359 0.700799i \(-0.752827\pi\)
0.933809 + 0.357772i \(0.116463\pi\)
\(402\) 1.79069 12.4545i 0.0893116 0.621176i
\(403\) −2.71663 + 18.8946i −0.135325 + 0.941207i
\(404\) −11.5139 + 17.9160i −0.572838 + 0.891353i
\(405\) 2.40667 + 2.77745i 0.119588 + 0.138012i
\(406\) −15.0991 + 18.7738i −0.749354 + 0.931728i
\(407\) −2.79831 + 1.79837i −0.138707 + 0.0891417i
\(408\) 1.01839 3.46831i 0.0504177 0.171707i
\(409\) 15.0040 + 13.0010i 0.741900 + 0.642860i 0.941498 0.337018i \(-0.109418\pi\)
−0.199598 + 0.979878i \(0.563964\pi\)
\(410\) 4.46555 + 15.2083i 0.220538 + 0.751082i
\(411\) 0.809184 1.77186i 0.0399141 0.0873997i
\(412\) 11.9091 + 82.8296i 0.586719 + 4.08072i
\(413\) −20.2874 + 10.1796i −0.998277 + 0.500906i
\(414\) −11.7375 5.55659i −0.576865 0.273091i
\(415\) −59.5208 −2.92176
\(416\) −106.558 + 15.3207i −5.22442 + 0.751159i
\(417\) −6.96219 + 15.2451i −0.340940 + 0.746554i
\(418\) 10.0875 + 34.3549i 0.493396 + 1.68035i
\(419\) 20.1114 23.2098i 0.982505 1.13387i −0.00848894 0.999964i \(-0.502702\pi\)
0.990994 0.133907i \(-0.0427524\pi\)
\(420\) 51.0155 9.25501i 2.48930 0.451598i
\(421\) 13.9350 + 21.6833i 0.679150 + 1.05678i 0.994184 + 0.107697i \(0.0343477\pi\)
−0.315034 + 0.949080i \(0.602016\pi\)
\(422\) −24.5172 53.6851i −1.19348 2.61335i
\(423\) 2.21501 1.91932i 0.107697 0.0933204i
\(424\) 35.7857 55.6836i 1.73791 2.70423i
\(425\) −0.484949 + 3.37289i −0.0235235 + 0.163609i
\(426\) −6.87471 0.988434i −0.333081 0.0478898i
\(427\) 0.324352 3.04453i 0.0156965 0.147335i
\(428\) 25.8756 22.4214i 1.25075 1.08378i
\(429\) 19.9489 9.11038i 0.963144 0.439853i
\(430\) −56.0854 87.2706i −2.70468 4.20856i
\(431\) 5.98127 20.3703i 0.288108 0.981204i −0.680529 0.732721i \(-0.738250\pi\)
0.968636 0.248483i \(-0.0799320\pi\)
\(432\) −10.4060 9.01685i −0.500659 0.433823i
\(433\) −13.0977 + 3.84584i −0.629436 + 0.184819i −0.580864 0.814001i \(-0.697285\pi\)
−0.0485719 + 0.998820i \(0.515467\pi\)
\(434\) 0.895812 + 24.4221i 0.0430003 + 1.17230i
\(435\) −12.2330 + 1.75884i −0.586526 + 0.0843298i
\(436\) 0.301011i 0.0144158i
\(437\) 8.56028 + 13.7315i 0.409494 + 0.656868i
\(438\) −17.6771 −0.844646
\(439\) 0.652927 0.0938767i 0.0311625 0.00448049i −0.126716 0.991939i \(-0.540444\pi\)
0.157878 + 0.987459i \(0.449535\pi\)
\(440\) −118.217 53.9879i −5.63578 2.57377i
\(441\) −2.43360 + 6.56335i −0.115886 + 0.312541i
\(442\) 4.58756 + 3.97515i 0.218208 + 0.189078i
\(443\) 26.0410 + 7.64631i 1.23724 + 0.363287i 0.833979 0.551796i \(-0.186057\pi\)
0.403264 + 0.915084i \(0.367876\pi\)
\(444\) −3.80747 + 2.44691i −0.180694 + 0.116125i
\(445\) 0.160770 + 0.352036i 0.00762121 + 0.0166881i
\(446\) −1.86930 + 1.61976i −0.0885140 + 0.0766978i
\(447\) 0.567637 + 0.364798i 0.0268483 + 0.0172544i
\(448\) −61.6194 + 20.5749i −2.91124 + 0.972073i
\(449\) 4.63851 32.2615i 0.218905 1.52252i −0.523187 0.852218i \(-0.675257\pi\)
0.742092 0.670298i \(-0.233834\pi\)
\(450\) 19.3770 + 12.4529i 0.913442 + 0.587034i
\(451\) 4.08766 + 4.71741i 0.192480 + 0.222134i
\(452\) 14.2803 6.52161i 0.671690 0.306751i
\(453\) −10.6390 16.5546i −0.499863 0.777802i
\(454\) 21.6997 + 6.37160i 1.01842 + 0.299034i
\(455\) −13.4056 + 52.7346i −0.628463 + 2.47224i
\(456\) 8.57738 + 29.2119i 0.401673 + 1.36797i
\(457\) −13.6434 6.23071i −0.638209 0.291460i 0.0699100 0.997553i \(-0.477729\pi\)
−0.708119 + 0.706093i \(0.750456\pi\)
\(458\) −3.49755 24.3260i −0.163430 1.13668i
\(459\) 0.400596i 0.0186982i
\(460\) −92.8337 14.6528i −4.32839 0.683190i
\(461\) 10.5437i 0.491069i −0.969388 0.245535i \(-0.921037\pi\)
0.969388 0.245535i \(-0.0789635\pi\)
\(462\) 23.0474 16.0351i 1.07226 0.746018i
\(463\) 2.42996 5.32087i 0.112930 0.247282i −0.844725 0.535201i \(-0.820236\pi\)
0.957655 + 0.287919i \(0.0929633\pi\)
\(464\) 44.4279 13.0452i 2.06251 0.605608i
\(465\) −8.20958 + 9.47436i −0.380710 + 0.439363i
\(466\) 6.01624 + 1.76653i 0.278697 + 0.0818328i
\(467\) 10.0738 6.47404i 0.466160 0.299583i −0.286396 0.958111i \(-0.592457\pi\)
0.752556 + 0.658528i \(0.228821\pi\)
\(468\) 27.1431 12.3959i 1.25469 0.572998i
\(469\) 11.3628 + 4.69382i 0.524687 + 0.216740i
\(470\) 15.7687 24.5366i 0.727355 1.13179i
\(471\) 19.4859 + 2.80166i 0.897865 + 0.129094i
\(472\) 76.6243 + 11.0169i 3.52692 + 0.507094i
\(473\) −34.3682 22.0871i −1.58025 1.01556i
\(474\) −11.2443 12.9766i −0.516469 0.596037i
\(475\) −11.9226 26.1068i −0.547045 1.19786i
\(476\) 4.86325 + 2.87916i 0.222907 + 0.131966i
\(477\) −2.06665 + 7.03837i −0.0946256 + 0.322265i
\(478\) −18.8624 + 21.7684i −0.862747 + 0.995663i
\(479\) −1.58948 + 0.466712i −0.0726250 + 0.0213246i −0.317843 0.948143i \(-0.602959\pi\)
0.245218 + 0.969468i \(0.421140\pi\)
\(480\) −64.3109 29.3698i −2.93538 1.34054i
\(481\) −0.675957 4.70138i −0.0308210 0.214365i
\(482\) −22.6116 −1.02993
\(483\) 8.08734 9.77727i 0.367987 0.444881i
\(484\) −23.2420 −1.05646
\(485\) 8.02087 + 55.7863i 0.364209 + 2.53313i
\(486\) 2.46313 + 1.12487i 0.111730 + 0.0510253i
\(487\) 33.3450 9.79097i 1.51101 0.443671i 0.581830 0.813310i \(-0.302337\pi\)
0.929175 + 0.369639i \(0.120519\pi\)
\(488\) −6.83817 + 7.89167i −0.309550 + 0.357239i
\(489\) −4.97481 + 16.9427i −0.224969 + 0.766173i
\(490\) −4.83554 + 69.4925i −0.218448 + 3.13935i
\(491\) 7.96388 + 17.4385i 0.359405 + 0.786987i 0.999820 + 0.0189579i \(0.00603486\pi\)
−0.640416 + 0.768029i \(0.721238\pi\)
\(492\) 5.56180 + 6.41866i 0.250745 + 0.289375i
\(493\) −1.13329 0.728321i −0.0510408 0.0328019i
\(494\) −50.6061 7.27606i −2.27688 0.327366i
\(495\) 14.2561 + 2.04972i 0.640766 + 0.0921282i
\(496\) 25.3933 39.5127i 1.14019 1.77417i
\(497\) 2.59091 6.27211i 0.116218 0.281343i
\(498\) −39.8922 + 18.2182i −1.78761 + 0.816375i
\(499\) 31.0020 19.9238i 1.38784 0.891911i 0.388279 0.921542i \(-0.373070\pi\)
0.999561 + 0.0296308i \(0.00943316\pi\)
\(500\) 65.9284 + 19.3583i 2.94841 + 0.865731i
\(501\) −5.95791 + 6.87580i −0.266180 + 0.307188i
\(502\) 35.0443 10.2899i 1.56410 0.459262i
\(503\) −14.2236 + 31.1454i −0.634201 + 1.38871i 0.270525 + 0.962713i \(0.412803\pi\)
−0.904726 + 0.425993i \(0.859925\pi\)
\(504\) 19.5972 13.6346i 0.872927 0.607332i
\(505\) 14.6779i 0.653158i
\(506\) −49.0244 + 13.6657i −2.17940 + 0.607513i
\(507\) 18.3151i 0.813402i
\(508\) 10.5008 + 73.0348i 0.465899 + 3.24040i
\(509\) 15.0858 + 6.88943i 0.668664 + 0.305369i 0.720670 0.693278i \(-0.243834\pi\)
−0.0520060 + 0.998647i \(0.516561\pi\)
\(510\) 1.12314 + 3.82505i 0.0497333 + 0.169376i
\(511\) 4.25531 16.7395i 0.188244 0.740511i
\(512\) 15.7327 + 4.61954i 0.695294 + 0.204157i
\(513\) −1.82414 2.83841i −0.0805376 0.125319i
\(514\) −55.3237 + 25.2655i −2.44022 + 1.11441i
\(515\) −37.7684 43.5870i −1.66427 1.92067i
\(516\) −46.7624 30.0523i −2.05860 1.32298i
\(517\) 1.63465 11.3693i 0.0718919 0.500019i
\(518\) −1.92588 5.76778i −0.0846184 0.253422i
\(519\) 8.32327 + 5.34904i 0.365351 + 0.234797i
\(520\) 140.247 121.524i 6.15022 5.32919i
\(521\) 12.1023 + 26.5003i 0.530211 + 1.16100i 0.965427 + 0.260673i \(0.0839446\pi\)
−0.435216 + 0.900326i \(0.643328\pi\)
\(522\) −7.66047 + 4.92309i −0.335290 + 0.215478i
\(523\) −11.4670 3.36701i −0.501416 0.147229i 0.0212371 0.999774i \(-0.493240\pi\)
−0.522653 + 0.852545i \(0.675058\pi\)
\(524\) −47.3027 40.9880i −2.06643 1.79057i
\(525\) −16.4568 + 15.3515i −0.718236 + 0.669995i
\(526\) 11.3851 + 5.19942i 0.496416 + 0.226706i
\(527\) −1.35259 + 0.194474i −0.0589199 + 0.00847140i
\(528\) −53.9614 −2.34837
\(529\) −19.6834 + 11.8981i −0.855799 + 0.517308i
\(530\) 72.9994i 3.17089i
\(531\) −8.49175 + 1.22093i −0.368510 + 0.0529838i
\(532\) −47.5688 + 1.74485i −2.06237 + 0.0756487i
\(533\) −8.55200 + 2.51109i −0.370428 + 0.108767i
\(534\) 0.215503 + 0.186734i 0.00932572 + 0.00808078i
\(535\) −6.64815 + 22.6415i −0.287425 + 0.978878i
\(536\) −22.6688 35.2733i −0.979142 1.52357i
\(537\) −8.40679 + 3.83925i −0.362780 + 0.165676i
\(538\) −11.0032 + 9.53432i −0.474381 + 0.411054i
\(539\) 9.63644 + 25.6849i 0.415071 + 1.10633i
\(540\) 19.3973 + 2.78891i 0.834728 + 0.120016i
\(541\) 5.09365 35.4271i 0.218993 1.52313i −0.522773 0.852472i \(-0.675102\pi\)
0.741766 0.670659i \(-0.233989\pi\)
\(542\) 2.05015 3.19009i 0.0880614 0.137026i
\(543\) 4.83990 4.19379i 0.207700 0.179973i
\(544\) −3.20140 7.01009i −0.137259 0.300555i
\(545\) 0.112161 + 0.174526i 0.00480444 + 0.00747586i
\(546\) 7.15632 + 39.4471i 0.306262 + 1.68818i
\(547\) 2.44073 2.81675i 0.104358 0.120436i −0.701168 0.712996i \(-0.747338\pi\)
0.805526 + 0.592561i \(0.201883\pi\)
\(548\) −2.92630 9.96607i −0.125005 0.425729i
\(549\) 0.480733 1.05266i 0.0205172 0.0449263i
\(550\) 89.3500 12.8466i 3.80990 0.547780i
\(551\) 11.3463 0.483370
\(552\) −41.6854 + 11.6199i −1.77425 + 0.494576i
\(553\) 14.9951 7.52410i 0.637656 0.319957i
\(554\) −1.79459 12.4817i −0.0762449 0.530295i
\(555\) 1.29581 2.83743i 0.0550041 0.120442i
\(556\) 25.1778 + 85.7477i 1.06778 + 3.63651i
\(557\) −4.22629 3.66210i −0.179074 0.155168i 0.560712 0.828011i \(-0.310528\pi\)
−0.739785 + 0.672843i \(0.765073\pi\)
\(558\) −2.60233 + 8.86272i −0.110165 + 0.375189i
\(559\) 49.0745 31.5383i 2.07563 1.33393i
\(560\) 83.9064 104.327i 3.54569 4.40863i
\(561\) 1.02809 + 1.18648i 0.0434061 + 0.0500933i
\(562\) −33.2839 + 51.7908i −1.40400 + 2.18466i
\(563\) 2.70831 18.8367i 0.114142 0.793873i −0.849675 0.527307i \(-0.823202\pi\)
0.963817 0.266566i \(-0.0858892\pi\)
\(564\) 2.22416 15.4693i 0.0936539 0.651377i
\(565\) −5.84968 + 9.10228i −0.246098 + 0.382936i
\(566\) −31.9890 36.9173i −1.34460 1.55175i
\(567\) −1.65814 + 2.06169i −0.0696353 + 0.0865829i
\(568\) −19.4703 + 12.5128i −0.816956 + 0.525026i
\(569\) −8.22072 + 27.9972i −0.344630 + 1.17370i 0.586784 + 0.809743i \(0.300394\pi\)
−0.931415 + 0.363960i \(0.881425\pi\)
\(570\) −25.3755 21.9880i −1.06286 0.920977i
\(571\) 4.14463 + 14.1153i 0.173447 + 0.590707i 0.999627 + 0.0273009i \(0.00869122\pi\)
−0.826180 + 0.563406i \(0.809491\pi\)
\(572\) 48.5796 106.374i 2.03121 4.44774i
\(573\) −0.0599717 0.417113i −0.00250535 0.0174251i
\(574\) −10.1990 + 5.11754i −0.425697 + 0.213602i
\(575\) 37.3376 16.4350i 1.55709 0.685385i
\(576\) −24.5539 −1.02308
\(577\) 14.8524 2.13546i 0.618314 0.0889002i 0.173962 0.984752i \(-0.444343\pi\)
0.444352 + 0.895852i \(0.353434\pi\)
\(578\) 18.9423 41.4779i 0.787896 1.72525i
\(579\) 4.69730 + 15.9975i 0.195213 + 0.664835i
\(580\) −43.1560 + 49.8047i −1.79196 + 2.06803i
\(581\) −7.64879 42.1617i −0.317325 1.74916i
\(582\) 22.4509 + 34.9342i 0.930619 + 1.44807i
\(583\) 11.9424 + 26.1501i 0.494602 + 1.08303i
\(584\) −44.5183 + 38.5753i −1.84218 + 1.59626i
\(585\) −11.1187 + 17.3010i −0.459701 + 0.715309i
\(586\) 6.31655 43.9326i 0.260934 1.81484i
\(587\) 12.1081 + 1.74088i 0.499754 + 0.0718538i 0.387582 0.921835i \(-0.373310\pi\)
0.112172 + 0.993689i \(0.464219\pi\)
\(588\) 13.1116 + 34.9477i 0.540714 + 1.44122i
\(589\) 8.69822 7.53705i 0.358404 0.310559i
\(590\) −77.6595 + 35.4659i −3.19719 + 1.46011i
\(591\) 3.83086 + 5.96093i 0.157580 + 0.245200i
\(592\) −3.29257 + 11.2135i −0.135324 + 0.460870i
\(593\) 11.8011 + 10.2257i 0.484614 + 0.419920i 0.862597 0.505893i \(-0.168837\pi\)
−0.377983 + 0.925813i \(0.623382\pi\)
\(594\) 10.1822 2.98975i 0.417779 0.122671i
\(595\) −3.89252 + 0.142779i −0.159578 + 0.00585338i
\(596\) 3.56138 0.512048i 0.145880 0.0209743i
\(597\) 13.0527i 0.534209i
\(598\) 11.3301 71.7825i 0.463322 2.93540i
\(599\) 10.0413 0.410278 0.205139 0.978733i \(-0.434235\pi\)
0.205139 + 0.978733i \(0.434235\pi\)
\(600\) 75.9741 10.9234i 3.10163 0.445947i
\(601\) 24.8735 + 11.3594i 1.01461 + 0.463358i 0.852117 0.523351i \(-0.175318\pi\)
0.162496 + 0.986709i \(0.448046\pi\)
\(602\) 54.6111 50.9431i 2.22578 2.07628i
\(603\) 3.51178 + 3.04298i 0.143011 + 0.123920i
\(604\) −100.682 29.5628i −4.09668 1.20289i
\(605\) 13.4757 8.66031i 0.547865 0.352092i
\(606\) −4.49262 9.83746i −0.182500 0.399619i
\(607\) −23.1772 + 20.0832i −0.940735 + 0.815152i −0.982934 0.183958i \(-0.941109\pi\)
0.0421991 + 0.999109i \(0.486564\pi\)
\(608\) 54.6043 + 35.0920i 2.21449 + 1.42317i
\(609\) −2.81789 8.43924i −0.114187 0.341975i
\(610\) 1.63893 11.3990i 0.0663584 0.461533i
\(611\) 13.7975 + 8.86714i 0.558189 + 0.358726i
\(612\) 1.39885 + 1.61436i 0.0565453 + 0.0652568i
\(613\) 11.2570 5.14091i 0.454667 0.207639i −0.174899 0.984586i \(-0.555960\pi\)
0.629566 + 0.776947i \(0.283233\pi\)
\(614\) −48.8727 76.0474i −1.97234 3.06902i
\(615\) −5.61640 1.64913i −0.226475 0.0664991i
\(616\) 23.0509 90.6772i 0.928747 3.65349i
\(617\) −4.99408 17.0083i −0.201054 0.684728i −0.996861 0.0791767i \(-0.974771\pi\)
0.795806 0.605551i \(-0.207047\pi\)
\(618\) −38.6544 17.6529i −1.55491 0.710102i
\(619\) 2.65247 + 18.4483i 0.106612 + 0.741500i 0.971070 + 0.238795i \(0.0767525\pi\)
−0.864458 + 0.502704i \(0.832338\pi\)
\(620\) 66.8481i 2.68468i
\(621\) 4.06977 2.53711i 0.163314 0.101811i
\(622\) 92.3601i 3.70330i
\(623\) −0.228706 + 0.159120i −0.00916292 + 0.00637503i
\(624\) 32.0085 70.0888i 1.28136 2.80580i
\(625\) −4.62986 + 1.35945i −0.185194 + 0.0543780i
\(626\) −24.4436 + 28.2095i −0.976965 + 1.12748i
\(627\) −12.6872 3.72531i −0.506680 0.148775i
\(628\) 88.3098 56.7533i 3.52394 2.26470i
\(629\) 0.309289 0.141247i 0.0123321 0.00563190i
\(630\) −10.0523 + 24.3347i −0.400493 + 0.969519i
\(631\) 19.9285 31.0094i 0.793343 1.23447i −0.174933 0.984580i \(-0.555971\pi\)
0.968276 0.249885i \(-0.0803928\pi\)
\(632\) −56.6356 8.14297i −2.25284 0.323910i
\(633\) 21.5737 + 3.10183i 0.857477 + 0.123287i
\(634\) 15.8682 + 10.1979i 0.630208 + 0.405010i
\(635\) −33.3022 38.4328i −1.32156 1.52516i
\(636\) 16.2491 + 35.5806i 0.644320 + 1.41086i
\(637\) −39.0774 2.71915i −1.54830 0.107737i
\(638\) −10.0541 + 34.2411i −0.398045 + 1.35562i
\(639\) 1.67968 1.93845i 0.0664469 0.0766839i
\(640\) −98.7787 + 29.0040i −3.90457 + 1.14649i
\(641\) −2.95019 1.34731i −0.116525 0.0532154i 0.356299 0.934372i \(-0.384038\pi\)
−0.472825 + 0.881156i \(0.656766\pi\)
\(642\) 2.47438 + 17.2097i 0.0976562 + 0.679214i
\(643\) −22.7750 −0.898157 −0.449079 0.893492i \(-0.648248\pi\)
−0.449079 + 0.893492i \(0.648248\pi\)
\(644\) −1.55035 67.6420i −0.0610925 2.66547i
\(645\) 38.3107 1.50848
\(646\) −0.520866 3.62270i −0.0204932 0.142533i
\(647\) 36.4896 + 16.6643i 1.43456 + 0.655140i 0.972753 0.231843i \(-0.0744756\pi\)
0.461802 + 0.886983i \(0.347203\pi\)
\(648\) 8.65788 2.54218i 0.340113 0.0998663i
\(649\) −22.0174 + 25.4094i −0.864259 + 0.997408i
\(650\) −36.3140 + 123.674i −1.42435 + 4.85090i
\(651\) −7.76617 4.59776i −0.304380 0.180201i
\(652\) 39.1146 + 85.6491i 1.53185 + 3.35428i
\(653\) 8.84504 + 10.2077i 0.346133 + 0.399459i 0.901946 0.431848i \(-0.142138\pi\)
−0.555813 + 0.831307i \(0.687593\pi\)
\(654\) 0.128592 + 0.0826408i 0.00502833 + 0.00323151i
\(655\) 42.6988 + 6.13916i 1.66838 + 0.239877i
\(656\) 21.7076 + 3.12108i 0.847539 + 0.121858i
\(657\) 3.52939 5.49184i 0.137695 0.214257i
\(658\) 19.4069 + 8.01670i 0.756560 + 0.312523i
\(659\) 2.20463 1.00682i 0.0858802 0.0392202i −0.372012 0.928228i \(-0.621332\pi\)
0.457892 + 0.889008i \(0.348605\pi\)
\(660\) 64.6084 41.5213i 2.51488 1.61621i
\(661\) −12.8886 3.78442i −0.501307 0.147197i 0.0212961 0.999773i \(-0.493221\pi\)
−0.522603 + 0.852576i \(0.675039\pi\)
\(662\) −3.73803 + 4.31392i −0.145283 + 0.167665i
\(663\) −2.15092 + 0.631568i −0.0835349 + 0.0245281i
\(664\) −60.7090 + 132.934i −2.35596 + 5.15884i
\(665\) 26.9302 18.7365i 1.04431 0.726570i
\(666\) 2.29833i 0.0890586i
\(667\) −0.221716 + 16.1261i −0.00858488 + 0.624407i
\(668\) 48.5135i 1.87704i
\(669\) −0.129996 0.904143i −0.00502594 0.0349562i
\(670\) 42.0634 + 19.2097i 1.62505 + 0.742136i
\(671\) −1.27772 4.35152i −0.0493258 0.167988i
\(672\) 12.5398 49.3290i 0.483735 1.90291i
\(673\) −29.8480 8.76417i −1.15056 0.337834i −0.349800 0.936824i \(-0.613751\pi\)
−0.800756 + 0.598990i \(0.795569\pi\)
\(674\) 26.7558 + 41.6329i 1.03060 + 1.60364i
\(675\) −7.73758 + 3.53363i −0.297820 + 0.136010i
\(676\) 63.9551 + 73.8082i 2.45981 + 2.83878i
\(677\) 23.9260 + 15.3763i 0.919552 + 0.590960i 0.912528 0.409015i \(-0.134128\pi\)
0.00702449 + 0.999975i \(0.497764\pi\)
\(678\) −1.13456 + 7.89102i −0.0435724 + 0.303053i
\(679\) −38.4857 + 12.8505i −1.47695 + 0.493157i
\(680\) 11.1756 + 7.18212i 0.428564 + 0.275422i
\(681\) −6.31202 + 5.46939i −0.241877 + 0.209588i
\(682\) 15.0378 + 32.9282i 0.575827 + 1.26089i
\(683\) 7.18886 4.62000i 0.275074 0.176779i −0.395829 0.918324i \(-0.629543\pi\)
0.670903 + 0.741545i \(0.265906\pi\)
\(684\) −17.2626 5.06877i −0.660054 0.193809i
\(685\) 5.41017 + 4.68794i 0.206712 + 0.179117i
\(686\) −49.8466 + 5.50495i −1.90315 + 0.210180i
\(687\) 8.25578 + 3.77029i 0.314978 + 0.143845i
\(688\) −142.074 + 20.4272i −5.41653 + 0.778779i
\(689\) −41.0495 −1.56386
\(690\) 31.7466 35.6356i 1.20857 1.35663i
\(691\) 26.3845i 1.00371i 0.864951 + 0.501856i \(0.167349\pi\)
−0.864951 + 0.501856i \(0.832651\pi\)
\(692\) 52.2205 7.50818i 1.98513 0.285418i
\(693\) 0.380074 + 10.3618i 0.0144378 + 0.393611i
\(694\) −68.9615 + 20.2489i −2.61774 + 0.768639i
\(695\) −46.5489 40.3348i −1.76570 1.52999i
\(696\) −8.54898 + 29.1151i −0.324048 + 1.10361i
\(697\) −0.344956 0.536762i −0.0130661 0.0203313i
\(698\) 78.7498 35.9638i 2.98072 1.36125i
\(699\) −1.75001 + 1.51639i −0.0661914 + 0.0573552i
\(700\) −12.7131 + 119.331i −0.480510 + 4.51031i
\(701\) −33.7695 4.85532i −1.27546 0.183383i −0.528889 0.848691i \(-0.677391\pi\)
−0.746569 + 0.665308i \(0.768300\pi\)
\(702\) −2.15649 + 14.9987i −0.0813916 + 0.566091i
\(703\) −1.54828 + 2.40917i −0.0583944 + 0.0908635i
\(704\) −72.7238 + 63.0155i −2.74088 + 2.37499i
\(705\) 4.47453 + 9.79786i 0.168521 + 0.369009i
\(706\) 25.8808 + 40.2713i 0.974036 + 1.51563i
\(707\) 10.3971 1.88620i 0.391024 0.0709379i
\(708\) −29.9576 + 34.5729i −1.12587 + 1.29933i
\(709\) −5.99054 20.4019i −0.224979 0.766209i −0.992181 0.124804i \(-0.960170\pi\)
0.767202 0.641405i \(-0.221648\pi\)
\(710\) 10.6035 23.2183i 0.397941 0.871369i
\(711\) 6.27653 0.902429i 0.235388 0.0338437i
\(712\) 0.950219 0.0356109
\(713\) 10.5422 + 12.5097i 0.394807 + 0.468493i
\(714\) −2.56515 + 1.28712i −0.0959985 + 0.0481692i
\(715\) 11.4702 + 79.7772i 0.428962 + 2.98350i
\(716\) −20.4722 + 44.8278i −0.765081 + 1.67529i
\(717\) −2.99685 10.2063i −0.111919 0.381162i
\(718\) −58.2287 50.4554i −2.17307 1.88298i
\(719\) 8.61825 29.3511i 0.321406 1.09461i −0.627386 0.778709i \(-0.715875\pi\)
0.948792 0.315901i \(-0.102307\pi\)
\(720\) 42.5697 27.3579i 1.58648 1.01957i
\(721\) 26.0215 32.3545i 0.969093 1.20495i
\(722\) −13.5050 15.5856i −0.502604 0.580036i
\(723\) 4.51461 7.02486i 0.167900 0.261257i
\(724\) 4.85988 33.8012i 0.180616 1.25621i
\(725\) 4.07096 28.3142i 0.151192 1.05156i
\(726\) 6.38097 9.92898i 0.236820 0.368499i
\(727\) −2.57651 2.97345i −0.0955574 0.110279i 0.705957 0.708255i \(-0.250517\pi\)
−0.801514 + 0.597976i \(0.795972\pi\)
\(728\) 104.105 + 83.7274i 3.85837 + 3.10314i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 18.3028 62.3335i 0.677416 2.30707i
\(731\) 3.15600 + 2.73469i 0.116729 + 0.101146i
\(732\) −1.73850 5.92080i −0.0642570 0.218839i
\(733\) −9.45077 + 20.6943i −0.349072 + 0.764361i 0.650914 + 0.759151i \(0.274386\pi\)
−0.999986 + 0.00521019i \(0.998342\pi\)
\(734\) 9.17043 + 63.7817i 0.338487 + 2.35423i
\(735\) −20.6241 15.3771i −0.760732 0.567191i
\(736\) −50.9420 + 76.9213i −1.87775 + 2.83536i
\(737\) 18.2107 0.670800
\(738\) −4.26901 + 0.613790i −0.157144 + 0.0225939i
\(739\) 17.8161 39.0119i 0.655377 1.43508i −0.231390 0.972861i \(-0.574327\pi\)
0.886768 0.462215i \(-0.152945\pi\)
\(740\) −4.68613 15.9595i −0.172265 0.586682i
\(741\) 12.3644 14.2693i 0.454219 0.524196i
\(742\) −51.7094 + 9.38088i −1.89831 + 0.344383i
\(743\) 3.95942 + 6.16097i 0.145257 + 0.226024i 0.906257 0.422728i \(-0.138927\pi\)
−0.761000 + 0.648752i \(0.775291\pi\)
\(744\) 12.7866 + 27.9988i 0.468780 + 1.02649i
\(745\) −1.87408 + 1.62390i −0.0686612 + 0.0594952i
\(746\) −11.3671 + 17.6875i −0.416179 + 0.647587i
\(747\) 2.30490 16.0309i 0.0843317 0.586540i
\(748\) 8.28624 + 1.19138i 0.302975 + 0.0435612i
\(749\) −16.8925 1.79966i −0.617239 0.0657582i
\(750\) −26.3701 + 22.8499i −0.962902 + 0.834359i
\(751\) 5.51488 2.51856i 0.201241 0.0919037i −0.312245 0.950002i \(-0.601081\pi\)
0.513486 + 0.858098i \(0.328354\pi\)
\(752\) −21.8179 33.9493i −0.795616 1.23800i
\(753\) −3.80007 + 12.9418i −0.138482 + 0.471627i
\(754\) −38.5109 33.3699i −1.40248 1.21526i
\(755\) 69.3906 20.3749i 2.52538 0.741519i
\(756\) 0.517141 + 14.0985i 0.0188082 + 0.512759i
\(757\) −1.62100 + 0.233065i −0.0589163 + 0.00847088i −0.171710 0.985148i \(-0.554929\pi\)
0.112794 + 0.993618i \(0.464020\pi\)
\(758\) 1.81288i 0.0658469i
\(759\) 5.54257 17.9591i 0.201182 0.651875i
\(760\) −111.889 −4.05862
\(761\) 29.1827 4.19585i 1.05787 0.152099i 0.408646 0.912693i \(-0.366001\pi\)
0.649228 + 0.760594i \(0.275092\pi\)
\(762\) −34.0834 15.5654i −1.23471 0.563873i
\(763\) −0.109212 + 0.101877i −0.00395375 + 0.00368820i
\(764\) −1.69821 1.47151i −0.0614391 0.0532373i
\(765\) −1.41259 0.414774i −0.0510723 0.0149962i
\(766\) −74.5448 + 47.9070i −2.69341 + 1.73095i
\(767\) −19.9434 43.6700i −0.720114 1.57683i
\(768\) −20.2129 + 17.5146i −0.729369 + 0.632002i
\(769\) −2.75372 1.76971i −0.0993017 0.0638173i 0.490048 0.871696i \(-0.336979\pi\)
−0.589349 + 0.807878i \(0.700616\pi\)
\(770\) 32.6800 + 97.8728i 1.17771 + 3.52709i
\(771\) 3.19650 22.2321i 0.115119 0.800670i
\(772\) 74.7921 + 48.0660i 2.69183 + 1.72993i
\(773\) −24.5188 28.2962i −0.881881 1.01775i −0.999695 0.0247094i \(-0.992134\pi\)
0.117814 0.993036i \(-0.462411\pi\)
\(774\) 25.6767 11.7262i 0.922930 0.421488i