Properties

Label 29.3.f.a.15.2
Level $29$
Weight $3$
Character 29.15
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 15.2
Character \(\chi\) \(=\) 29.15
Dual form 29.3.f.a.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68783 + 0.190173i) q^{2} +(-3.78594 + 2.37886i) q^{3} +(-1.08711 + 0.248126i) q^{4} +(0.141728 + 0.113024i) q^{5} +(5.93762 - 4.73509i) q^{6} +(-1.55116 + 6.79606i) q^{7} +(8.20045 - 2.86946i) q^{8} +(4.76938 - 9.90371i) q^{9} +O(q^{10})\) \(q+(-1.68783 + 0.190173i) q^{2} +(-3.78594 + 2.37886i) q^{3} +(-1.08711 + 0.248126i) q^{4} +(0.141728 + 0.113024i) q^{5} +(5.93762 - 4.73509i) q^{6} +(-1.55116 + 6.79606i) q^{7} +(8.20045 - 2.86946i) q^{8} +(4.76938 - 9.90371i) q^{9} +(-0.260707 - 0.163813i) q^{10} +(-12.2566 - 4.28875i) q^{11} +(3.52547 - 3.52547i) q^{12} +(9.66173 + 20.0628i) q^{13} +(1.32566 - 11.7656i) q^{14} +(-0.805444 - 0.0907517i) q^{15} +(-9.27670 + 4.46742i) q^{16} +(-5.90660 - 5.90660i) q^{17} +(-6.16648 + 17.6228i) q^{18} +(-10.7431 + 17.0975i) q^{19} +(-0.182118 - 0.0877036i) q^{20} +(-10.2943 - 29.4194i) q^{21} +(21.5026 + 4.90782i) q^{22} +(15.0384 + 18.8575i) q^{23} +(-24.2203 + 30.3713i) q^{24} +(-5.55571 - 24.3412i) q^{25} +(-20.1228 - 32.0252i) q^{26} +(0.997389 + 8.85208i) q^{27} -7.77294i q^{28} +(28.5764 - 4.93832i) q^{29} +1.37671 q^{30} +(35.5909 - 4.01014i) q^{31} +(-14.6174 + 9.18473i) q^{32} +(56.6049 - 12.9197i) q^{33} +(11.0926 + 8.84605i) q^{34} +(-0.987964 + 0.787875i) q^{35} +(-2.72747 + 11.9498i) q^{36} +(-23.0925 + 8.08043i) q^{37} +(14.8810 - 30.9007i) q^{38} +(-84.3053 - 52.9725i) q^{39} +(1.48655 + 0.520168i) q^{40} +(-14.1288 + 14.1288i) q^{41} +(22.9698 + 47.6973i) q^{42} +(-4.31425 + 38.2901i) q^{43} +(14.3884 + 1.62118i) q^{44} +(1.79532 - 0.864579i) q^{45} +(-28.9684 - 28.9684i) q^{46} +(1.53295 - 4.38091i) q^{47} +(24.4936 - 38.9814i) q^{48} +(0.367152 + 0.176811i) q^{49} +(14.0061 + 40.0272i) q^{50} +(36.4130 + 8.31102i) q^{51} +(-15.4815 - 19.4131i) q^{52} +(-51.0246 + 63.9828i) q^{53} +(-3.36685 - 14.7511i) q^{54} +(-1.25237 - 1.99313i) q^{55} +(6.78085 + 60.1817i) q^{56} -90.2863i q^{57} +(-47.2930 + 13.7695i) q^{58} +28.0326 q^{59} +(0.898124 - 0.101194i) q^{60} +(-3.26475 + 2.05138i) q^{61} +(-59.3088 + 13.5368i) q^{62} +(59.9082 + 47.7752i) q^{63} +(55.1251 - 43.9608i) q^{64} +(-0.898247 + 3.93548i) q^{65} +(-93.0824 + 32.5709i) q^{66} +(-2.88318 + 5.98698i) q^{67} +(7.88670 + 4.95554i) q^{68} +(-101.794 - 35.6192i) q^{69} +(1.51768 - 1.51768i) q^{70} +(-15.5711 - 32.3337i) q^{71} +(10.6927 - 94.9004i) q^{72} +(103.524 + 11.6644i) q^{73} +(37.4396 - 18.0300i) q^{74} +(78.9378 + 78.9378i) q^{75} +(7.43657 - 21.2525i) q^{76} +(48.1585 - 76.6437i) q^{77} +(152.367 + 73.3760i) q^{78} +(-28.1618 - 80.4819i) q^{79} +(-1.81970 - 0.415334i) q^{80} +(36.8483 + 46.2063i) q^{81} +(21.1601 - 26.5339i) q^{82} +(-6.13681 - 26.8871i) q^{83} +(18.4908 + 29.4279i) q^{84} +(-0.169541 - 1.50472i) q^{85} -65.4475i q^{86} +(-96.4410 + 86.6755i) q^{87} -112.816 q^{88} +(26.8243 - 3.02237i) q^{89} +(-2.86577 + 1.80068i) q^{90} +(-151.335 + 34.5412i) q^{91} +(-21.0274 - 16.7688i) q^{92} +(-125.205 + 99.8480i) q^{93} +(-1.75422 + 7.68575i) q^{94} +(-3.45503 + 1.20897i) q^{95} +(33.4914 - 69.5456i) q^{96} +(-6.09419 - 3.82923i) q^{97} +(-0.653314 - 0.228604i) q^{98} +(-100.931 + 100.931i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{27}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68783 + 0.190173i −0.843915 + 0.0950863i −0.523326 0.852132i \(-0.675309\pi\)
−0.320588 + 0.947219i \(0.603881\pi\)
\(3\) −3.78594 + 2.37886i −1.26198 + 0.792954i −0.985763 0.168142i \(-0.946223\pi\)
−0.276216 + 0.961096i \(0.589080\pi\)
\(4\) −1.08711 + 0.248126i −0.271777 + 0.0620314i
\(5\) 0.141728 + 0.113024i 0.0283456 + 0.0226049i 0.637560 0.770401i \(-0.279944\pi\)
−0.609215 + 0.793005i \(0.708515\pi\)
\(6\) 5.93762 4.73509i 0.989603 0.789182i
\(7\) −1.55116 + 6.79606i −0.221594 + 0.970865i 0.734685 + 0.678408i \(0.237330\pi\)
−0.956279 + 0.292457i \(0.905527\pi\)
\(8\) 8.20045 2.86946i 1.02506 0.358683i
\(9\) 4.76938 9.90371i 0.529931 1.10041i
\(10\) −0.260707 0.163813i −0.0260707 0.0163813i
\(11\) −12.2566 4.28875i −1.11423 0.389887i −0.290505 0.956873i \(-0.593823\pi\)
−0.823727 + 0.566987i \(0.808109\pi\)
\(12\) 3.52547 3.52547i 0.293789 0.293789i
\(13\) 9.66173 + 20.0628i 0.743210 + 1.54329i 0.836694 + 0.547671i \(0.184486\pi\)
−0.0934833 + 0.995621i \(0.529800\pi\)
\(14\) 1.32566 11.7656i 0.0946901 0.840398i
\(15\) −0.805444 0.0907517i −0.0536962 0.00605011i
\(16\) −9.27670 + 4.46742i −0.579794 + 0.279214i
\(17\) −5.90660 5.90660i −0.347447 0.347447i 0.511711 0.859158i \(-0.329012\pi\)
−0.859158 + 0.511711i \(0.829012\pi\)
\(18\) −6.16648 + 17.6228i −0.342582 + 0.979043i
\(19\) −10.7431 + 17.0975i −0.565425 + 0.899868i −1.00000 0.000767373i \(-0.999756\pi\)
0.434575 + 0.900636i \(0.356899\pi\)
\(20\) −0.182118 0.0877036i −0.00910592 0.00438518i
\(21\) −10.2943 29.4194i −0.490205 1.40093i
\(22\) 21.5026 + 4.90782i 0.977390 + 0.223083i
\(23\) 15.0384 + 18.8575i 0.653843 + 0.819893i 0.992657 0.120960i \(-0.0385973\pi\)
−0.338814 + 0.940853i \(0.610026\pi\)
\(24\) −24.2203 + 30.3713i −1.00918 + 1.26547i
\(25\) −5.55571 24.3412i −0.222228 0.973646i
\(26\) −20.1228 32.0252i −0.773952 1.23174i
\(27\) 0.997389 + 8.85208i 0.0369403 + 0.327855i
\(28\) 7.77294i 0.277605i
\(29\) 28.5764 4.93832i 0.985395 0.170287i
\(30\) 1.37671 0.0458903
\(31\) 35.5909 4.01014i 1.14809 0.129359i 0.482655 0.875811i \(-0.339673\pi\)
0.665440 + 0.746451i \(0.268244\pi\)
\(32\) −14.6174 + 9.18473i −0.456794 + 0.287023i
\(33\) 56.6049 12.9197i 1.71530 0.391506i
\(34\) 11.0926 + 8.84605i 0.326253 + 0.260178i
\(35\) −0.987964 + 0.787875i −0.0282275 + 0.0225107i
\(36\) −2.72747 + 11.9498i −0.0757631 + 0.331940i
\(37\) −23.0925 + 8.08043i −0.624123 + 0.218390i −0.623767 0.781610i \(-0.714399\pi\)
−0.000355153 1.00000i \(0.500113\pi\)
\(38\) 14.8810 30.9007i 0.391605 0.813176i
\(39\) −84.3053 52.9725i −2.16167 1.35827i
\(40\) 1.48655 + 0.520168i 0.0371639 + 0.0130042i
\(41\) −14.1288 + 14.1288i −0.344605 + 0.344605i −0.858095 0.513490i \(-0.828352\pi\)
0.513490 + 0.858095i \(0.328352\pi\)
\(42\) 22.9698 + 47.6973i 0.546900 + 1.13565i
\(43\) −4.31425 + 38.2901i −0.100331 + 0.890466i 0.838221 + 0.545330i \(0.183596\pi\)
−0.938553 + 0.345136i \(0.887833\pi\)
\(44\) 14.3884 + 1.62118i 0.327008 + 0.0368450i
\(45\) 1.79532 0.864579i 0.0398959 0.0192129i
\(46\) −28.9684 28.9684i −0.629748 0.629748i
\(47\) 1.53295 4.38091i 0.0326159 0.0932108i −0.926424 0.376482i \(-0.877134\pi\)
0.959040 + 0.283271i \(0.0914195\pi\)
\(48\) 24.4936 38.9814i 0.510284 0.812112i
\(49\) 0.367152 + 0.176811i 0.00749289 + 0.00360839i
\(50\) 14.0061 + 40.0272i 0.280122 + 0.800544i
\(51\) 36.4130 + 8.31102i 0.713980 + 0.162961i
\(52\) −15.4815 19.4131i −0.297720 0.373330i
\(53\) −51.0246 + 63.9828i −0.962728 + 1.20722i 0.0155405 + 0.999879i \(0.495053\pi\)
−0.978268 + 0.207343i \(0.933518\pi\)
\(54\) −3.36685 14.7511i −0.0623490 0.273169i
\(55\) −1.25237 1.99313i −0.0227703 0.0362387i
\(56\) 6.78085 + 60.1817i 0.121087 + 1.07467i
\(57\) 90.2863i 1.58397i
\(58\) −47.2930 + 13.7695i −0.815397 + 0.237405i
\(59\) 28.0326 0.475129 0.237564 0.971372i \(-0.423651\pi\)
0.237564 + 0.971372i \(0.423651\pi\)
\(60\) 0.898124 0.101194i 0.0149687 0.00168657i
\(61\) −3.26475 + 2.05138i −0.0535205 + 0.0336292i −0.558527 0.829487i \(-0.688633\pi\)
0.505006 + 0.863116i \(0.331490\pi\)
\(62\) −59.3088 + 13.5368i −0.956594 + 0.218336i
\(63\) 59.9082 + 47.7752i 0.950923 + 0.758336i
\(64\) 55.1251 43.9608i 0.861329 0.686887i
\(65\) −0.898247 + 3.93548i −0.0138192 + 0.0605458i
\(66\) −93.0824 + 32.5709i −1.41034 + 0.493499i
\(67\) −2.88318 + 5.98698i −0.0430325 + 0.0893579i −0.921377 0.388671i \(-0.872934\pi\)
0.878344 + 0.478029i \(0.158649\pi\)
\(68\) 7.88670 + 4.95554i 0.115981 + 0.0728756i
\(69\) −101.794 35.6192i −1.47527 0.516221i
\(70\) 1.51768 1.51768i 0.0216812 0.0216812i
\(71\) −15.5711 32.3337i −0.219311 0.455404i 0.762065 0.647501i \(-0.224186\pi\)
−0.981376 + 0.192096i \(0.938471\pi\)
\(72\) 10.6927 94.9004i 0.148510 1.31806i
\(73\) 103.524 + 11.6644i 1.41814 + 0.159786i 0.787511 0.616301i \(-0.211370\pi\)
0.630626 + 0.776087i \(0.282798\pi\)
\(74\) 37.4396 18.0300i 0.505940 0.243648i
\(75\) 78.9378 + 78.9378i 1.05250 + 1.05250i
\(76\) 7.43657 21.2525i 0.0978496 0.279638i
\(77\) 48.1585 76.6437i 0.625434 0.995373i
\(78\) 152.367 + 73.3760i 1.95342 + 0.940718i
\(79\) −28.1618 80.4819i −0.356479 1.01876i −0.972877 0.231323i \(-0.925694\pi\)
0.616398 0.787435i \(-0.288591\pi\)
\(80\) −1.81970 0.415334i −0.0227462 0.00519168i
\(81\) 36.8483 + 46.2063i 0.454918 + 0.570449i
\(82\) 21.1601 26.5339i 0.258050 0.323584i
\(83\) −6.13681 26.8871i −0.0739375 0.323941i 0.924410 0.381399i \(-0.124558\pi\)
−0.998348 + 0.0574578i \(0.981701\pi\)
\(84\) 18.4908 + 29.4279i 0.220128 + 0.350332i
\(85\) −0.169541 1.50472i −0.00199461 0.0177026i
\(86\) 65.4475i 0.761018i
\(87\) −96.4410 + 86.6755i −1.10852 + 0.996271i
\(88\) −112.816 −1.28200
\(89\) 26.8243 3.02237i 0.301397 0.0339592i 0.0400288 0.999199i \(-0.487255\pi\)
0.261368 + 0.965239i \(0.415826\pi\)
\(90\) −2.86577 + 1.80068i −0.0318419 + 0.0200076i
\(91\) −151.335 + 34.5412i −1.66302 + 0.379573i
\(92\) −21.0274 16.7688i −0.228559 0.182270i
\(93\) −125.205 + 99.8480i −1.34630 + 1.07363i
\(94\) −1.75422 + 7.68575i −0.0186619 + 0.0817633i
\(95\) −3.45503 + 1.20897i −0.0363688 + 0.0127260i
\(96\) 33.4914 69.5456i 0.348869 0.724433i
\(97\) −6.09419 3.82923i −0.0628267 0.0394766i 0.500252 0.865880i \(-0.333241\pi\)
−0.563079 + 0.826403i \(0.690383\pi\)
\(98\) −0.653314 0.228604i −0.00666647 0.00233270i
\(99\) −100.931 + 100.931i −1.01950 + 1.01950i
\(100\) 12.0793 + 25.0830i 0.120793 + 0.250830i
\(101\) −12.4952 + 110.898i −0.123715 + 1.09800i 0.766433 + 0.642324i \(0.222030\pi\)
−0.890148 + 0.455672i \(0.849399\pi\)
\(102\) −63.0394 7.10284i −0.618033 0.0696356i
\(103\) 108.481 52.2416i 1.05321 0.507200i 0.174552 0.984648i \(-0.444152\pi\)
0.878660 + 0.477448i \(0.158438\pi\)
\(104\) 136.800 + 136.800i 1.31538 + 1.31538i
\(105\) 1.86612 5.33307i 0.0177726 0.0507912i
\(106\) 73.9530 117.696i 0.697670 1.11033i
\(107\) −127.998 61.6404i −1.19624 0.576079i −0.273638 0.961833i \(-0.588227\pi\)
−0.922602 + 0.385754i \(0.873941\pi\)
\(108\) −3.28070 9.37570i −0.0303768 0.0868120i
\(109\) 30.7554 + 7.01972i 0.282160 + 0.0644011i 0.361259 0.932466i \(-0.382347\pi\)
−0.0790990 + 0.996867i \(0.525204\pi\)
\(110\) 2.49282 + 3.12590i 0.0226620 + 0.0284172i
\(111\) 68.2046 85.5259i 0.614456 0.770504i
\(112\) −15.9713 69.9747i −0.142601 0.624774i
\(113\) −51.3355 81.7000i −0.454297 0.723009i 0.538526 0.842609i \(-0.318982\pi\)
−0.992822 + 0.119600i \(0.961839\pi\)
\(114\) 17.1700 + 152.388i 0.150614 + 1.33674i
\(115\) 4.37235i 0.0380205i
\(116\) −29.8404 + 12.4590i −0.257245 + 0.107406i
\(117\) 244.777 2.09211
\(118\) −47.3143 + 5.33104i −0.400968 + 0.0451783i
\(119\) 49.3036 30.9795i 0.414316 0.260332i
\(120\) −6.86541 + 1.56698i −0.0572117 + 0.0130582i
\(121\) 37.2281 + 29.6884i 0.307671 + 0.245359i
\(122\) 5.12023 4.08324i 0.0419691 0.0334692i
\(123\) 19.8803 87.1012i 0.161628 0.708140i
\(124\) −37.6962 + 13.1905i −0.304002 + 0.106375i
\(125\) 3.93008 8.16089i 0.0314406 0.0652871i
\(126\) −110.200 69.2434i −0.874605 0.549551i
\(127\) 95.5607 + 33.4381i 0.752446 + 0.263292i 0.679132 0.734017i \(-0.262357\pi\)
0.0733147 + 0.997309i \(0.476642\pi\)
\(128\) −35.8531 + 35.8531i −0.280102 + 0.280102i
\(129\) −74.7533 155.227i −0.579483 1.20331i
\(130\) 0.767667 6.81324i 0.00590513 0.0524095i
\(131\) 95.6113 + 10.7728i 0.729857 + 0.0822352i 0.469070 0.883161i \(-0.344589\pi\)
0.260787 + 0.965396i \(0.416018\pi\)
\(132\) −58.3300 + 28.0903i −0.441894 + 0.212805i
\(133\) −99.5314 99.5314i −0.748356 0.748356i
\(134\) 3.72775 10.6533i 0.0278190 0.0795022i
\(135\) −0.859143 + 1.36732i −0.00636402 + 0.0101283i
\(136\) −65.3855 31.4880i −0.480776 0.231529i
\(137\) 60.7818 + 173.704i 0.443662 + 1.26791i 0.921127 + 0.389263i \(0.127270\pi\)
−0.477464 + 0.878651i \(0.658444\pi\)
\(138\) 178.584 + 40.7607i 1.29409 + 0.295368i
\(139\) 116.483 + 146.065i 0.838009 + 1.05083i 0.997969 + 0.0637063i \(0.0202921\pi\)
−0.159960 + 0.987124i \(0.551136\pi\)
\(140\) 0.878533 1.10165i 0.00627524 0.00786890i
\(141\) 4.61794 + 20.2325i 0.0327513 + 0.143493i
\(142\) 32.4303 + 51.6126i 0.228383 + 0.363469i
\(143\) −32.3752 287.338i −0.226400 2.00935i
\(144\) 113.181i 0.785976i
\(145\) 4.60824 + 2.52994i 0.0317810 + 0.0174479i
\(146\) −176.949 −1.21198
\(147\) −1.81062 + 0.204008i −0.0123172 + 0.00138781i
\(148\) 23.0992 14.5142i 0.156075 0.0980687i
\(149\) 112.412 25.6572i 0.754440 0.172196i 0.172031 0.985092i \(-0.444967\pi\)
0.582410 + 0.812896i \(0.302110\pi\)
\(150\) −148.245 118.222i −0.988302 0.788145i
\(151\) −7.95750 + 6.34590i −0.0526987 + 0.0420258i −0.649485 0.760374i \(-0.725015\pi\)
0.596786 + 0.802400i \(0.296444\pi\)
\(152\) −39.0374 + 171.034i −0.256825 + 1.12522i
\(153\) −86.6680 + 30.3265i −0.566458 + 0.198212i
\(154\) −66.7077 + 138.520i −0.433167 + 0.899480i
\(155\) 5.49748 + 3.45430i 0.0354676 + 0.0222858i
\(156\) 104.793 + 36.6687i 0.671750 + 0.235055i
\(157\) −54.2399 + 54.2399i −0.345477 + 0.345477i −0.858422 0.512945i \(-0.828555\pi\)
0.512945 + 0.858422i \(0.328555\pi\)
\(158\) 62.8378 + 130.484i 0.397708 + 0.825849i
\(159\) 40.9696 363.615i 0.257670 2.28689i
\(160\) −3.10980 0.350390i −0.0194363 0.00218994i
\(161\) −151.484 + 72.9508i −0.940894 + 0.453111i
\(162\) −70.9809 70.9809i −0.438154 0.438154i
\(163\) −9.39776 + 26.8573i −0.0576550 + 0.164768i −0.969109 0.246634i \(-0.920675\pi\)
0.911454 + 0.411403i \(0.134961\pi\)
\(164\) 11.8538 18.8653i 0.0722795 0.115032i
\(165\) 9.48275 + 4.56665i 0.0574712 + 0.0276767i
\(166\) 15.4711 + 44.2138i 0.0931994 + 0.266348i
\(167\) −41.1889 9.40109i −0.246640 0.0562939i 0.0974137 0.995244i \(-0.468943\pi\)
−0.344053 + 0.938950i \(0.611800\pi\)
\(168\) −168.836 211.713i −1.00497 1.26020i
\(169\) −203.797 + 255.553i −1.20590 + 1.51215i
\(170\) 0.572314 + 2.50747i 0.00336655 + 0.0147498i
\(171\) 118.091 + 187.941i 0.690590 + 1.09907i
\(172\) −4.81068 42.6960i −0.0279691 0.248232i
\(173\) 127.036i 0.734309i 0.930160 + 0.367155i \(0.119668\pi\)
−0.930160 + 0.367155i \(0.880332\pi\)
\(174\) 146.293 164.634i 0.840762 0.946172i
\(175\) 174.042 0.994524
\(176\) 132.860 14.9697i 0.754887 0.0850553i
\(177\) −106.130 + 66.6857i −0.599603 + 0.376755i
\(178\) −44.7001 + 10.2025i −0.251124 + 0.0573174i
\(179\) −114.042 90.9455i −0.637106 0.508075i 0.250836 0.968030i \(-0.419294\pi\)
−0.887943 + 0.459954i \(0.847866\pi\)
\(180\) −1.73718 + 1.38536i −0.00965102 + 0.00769643i
\(181\) 48.4132 212.112i 0.267476 1.17189i −0.645462 0.763792i \(-0.723335\pi\)
0.912938 0.408098i \(-0.133808\pi\)
\(182\) 248.859 87.0794i 1.36735 0.478458i
\(183\) 7.48019 15.5328i 0.0408754 0.0848786i
\(184\) 177.433 + 111.488i 0.964307 + 0.605914i
\(185\) −4.18615 1.46480i −0.0226278 0.00791782i
\(186\) 192.337 192.337i 1.03407 1.03407i
\(187\) 47.0626 + 97.7265i 0.251672 + 0.522602i
\(188\) −0.579465 + 5.14289i −0.00308226 + 0.0273558i
\(189\) −61.7063 6.95263i −0.326489 0.0367864i
\(190\) 5.60159 2.69758i 0.0294821 0.0141978i
\(191\) −140.809 140.809i −0.737221 0.737221i 0.234818 0.972039i \(-0.424550\pi\)
−0.972039 + 0.234818i \(0.924550\pi\)
\(192\) −104.123 + 297.568i −0.542310 + 1.54983i
\(193\) −170.596 + 271.502i −0.883916 + 1.40674i 0.0294336 + 0.999567i \(0.490630\pi\)
−0.913349 + 0.407177i \(0.866513\pi\)
\(194\) 11.0142 + 5.30414i 0.0567740 + 0.0273409i
\(195\) −5.96125 17.0363i −0.0305705 0.0873655i
\(196\) −0.443006 0.101113i −0.00226023 0.000515883i
\(197\) −35.3554 44.3343i −0.179469 0.225047i 0.683957 0.729522i \(-0.260258\pi\)
−0.863426 + 0.504475i \(0.831686\pi\)
\(198\) 151.160 189.548i 0.763432 0.957314i
\(199\) −6.42619 28.1550i −0.0322924 0.141482i 0.956212 0.292676i \(-0.0945456\pi\)
−0.988504 + 0.151193i \(0.951688\pi\)
\(200\) −115.405 183.666i −0.577027 0.918332i
\(201\) −3.32667 29.5250i −0.0165506 0.146890i
\(202\) 189.553i 0.938379i
\(203\) −10.7654 + 201.867i −0.0530317 + 0.994420i
\(204\) −41.6471 −0.204152
\(205\) −3.59935 + 0.405549i −0.0175578 + 0.00197829i
\(206\) −173.162 + 108.805i −0.840593 + 0.528179i
\(207\) 258.484 58.9972i 1.24871 0.285011i
\(208\) −179.258 142.953i −0.861817 0.687276i
\(209\) 205.000 163.482i 0.980861 0.782211i
\(210\) −2.13549 + 9.35620i −0.0101690 + 0.0445533i
\(211\) 281.518 98.5074i 1.33421 0.466860i 0.433449 0.901178i \(-0.357296\pi\)
0.900759 + 0.434318i \(0.143011\pi\)
\(212\) 39.5935 82.2168i 0.186762 0.387815i
\(213\) 135.869 + 85.3719i 0.637881 + 0.400807i
\(214\) 227.761 + 79.6969i 1.06430 + 0.372415i
\(215\) −4.93917 + 4.93917i −0.0229729 + 0.0229729i
\(216\) 33.5797 + 69.7290i 0.155462 + 0.322819i
\(217\) −27.9540 + 248.098i −0.128820 + 1.14331i
\(218\) −53.2448 5.99925i −0.244242 0.0275195i
\(219\) −419.683 + 202.109i −1.91636 + 0.922871i
\(220\) 1.85601 + 1.85601i 0.00843639 + 0.00843639i
\(221\) 61.4349 175.571i 0.277986 0.794438i
\(222\) −98.8531 + 157.324i −0.445284 + 0.708666i
\(223\) −61.9105 29.8145i −0.277625 0.133697i 0.289890 0.957060i \(-0.406381\pi\)
−0.567516 + 0.823363i \(0.692095\pi\)
\(224\) −39.7461 113.588i −0.177438 0.507088i
\(225\) −267.565 61.0700i −1.18918 0.271422i
\(226\) 102.183 + 128.133i 0.452136 + 0.566960i
\(227\) 275.667 345.675i 1.21439 1.52280i 0.429625 0.903007i \(-0.358646\pi\)
0.784766 0.619792i \(-0.212783\pi\)
\(228\) 22.4024 + 98.1511i 0.0982559 + 0.430487i
\(229\) −48.7472 77.5808i −0.212870 0.338781i 0.723173 0.690667i \(-0.242683\pi\)
−0.936043 + 0.351887i \(0.885540\pi\)
\(230\) −0.831502 7.37979i −0.00361523 0.0320860i
\(231\) 404.731i 1.75208i
\(232\) 220.169 122.495i 0.949006 0.527997i
\(233\) −115.705 −0.496587 −0.248294 0.968685i \(-0.579870\pi\)
−0.248294 + 0.968685i \(0.579870\pi\)
\(234\) −413.141 + 46.5498i −1.76556 + 0.198931i
\(235\) 0.712412 0.447638i 0.00303154 0.00190484i
\(236\) −30.4745 + 6.95561i −0.129129 + 0.0294729i
\(237\) 298.074 + 237.706i 1.25770 + 1.00298i
\(238\) −77.3247 + 61.6644i −0.324893 + 0.259094i
\(239\) −39.0003 + 170.872i −0.163181 + 0.714944i 0.825436 + 0.564495i \(0.190929\pi\)
−0.988618 + 0.150449i \(0.951928\pi\)
\(240\) 7.87728 2.75638i 0.0328220 0.0114849i
\(241\) 1.62503 3.37442i 0.00674288 0.0140017i −0.897570 0.440872i \(-0.854669\pi\)
0.904313 + 0.426870i \(0.140384\pi\)
\(242\) −68.4807 43.0293i −0.282978 0.177807i
\(243\) −325.098 113.757i −1.33785 0.468134i
\(244\) 3.04014 3.04014i 0.0124596 0.0124596i
\(245\) 0.0320518 + 0.0665563i 0.000130824 + 0.000271658i
\(246\) −16.9902 + 150.793i −0.0690660 + 0.612978i
\(247\) −446.820 50.3446i −1.80899 0.203824i
\(248\) 280.355 135.012i 1.13046 0.544402i
\(249\) 87.1944 + 87.1944i 0.350178 + 0.350178i
\(250\) −5.08132 + 14.5216i −0.0203253 + 0.0580863i
\(251\) −101.330 + 161.266i −0.403705 + 0.642493i −0.985270 0.171007i \(-0.945298\pi\)
0.581565 + 0.813500i \(0.302441\pi\)
\(252\) −76.9810 37.0721i −0.305480 0.147112i
\(253\) −103.444 295.625i −0.408868 1.16848i
\(254\) −167.649 38.2648i −0.660036 0.150649i
\(255\) 4.22140 + 5.29347i 0.0165545 + 0.0207587i
\(256\) −122.148 + 153.168i −0.477139 + 0.598313i
\(257\) 31.9955 + 140.182i 0.124496 + 0.545454i 0.998253 + 0.0590900i \(0.0188199\pi\)
−0.873756 + 0.486364i \(0.838323\pi\)
\(258\) 155.691 + 247.780i 0.603452 + 0.960388i
\(259\) −19.0949 169.472i −0.0737256 0.654333i
\(260\) 4.50117i 0.0173122i
\(261\) 87.3842 306.566i 0.334805 1.17458i
\(262\) −163.424 −0.623757
\(263\) −14.2134 + 1.60147i −0.0540434 + 0.00608923i −0.138945 0.990300i \(-0.544371\pi\)
0.0849014 + 0.996389i \(0.472942\pi\)
\(264\) 427.113 268.373i 1.61785 1.01656i
\(265\) −14.4632 + 3.30114i −0.0545783 + 0.0124571i
\(266\) 186.920 + 149.064i 0.702707 + 0.560390i
\(267\) −94.3653 + 75.2538i −0.353428 + 0.281849i
\(268\) 1.64881 7.22389i 0.00615226 0.0269548i
\(269\) 115.482 40.4089i 0.429301 0.150219i −0.106975 0.994262i \(-0.534116\pi\)
0.536276 + 0.844043i \(0.319831\pi\)
\(270\) 1.19006 2.47119i 0.00440763 0.00915254i
\(271\) 364.109 + 228.785i 1.34358 + 0.844225i 0.995639 0.0932924i \(-0.0297391\pi\)
0.347938 + 0.937518i \(0.386882\pi\)
\(272\) 81.1810 + 28.4065i 0.298460 + 0.104435i
\(273\) 490.775 490.775i 1.79771 1.79771i
\(274\) −135.623 281.624i −0.494975 1.02783i
\(275\) −36.2994 + 322.166i −0.131998 + 1.17151i
\(276\) 119.499 + 13.4643i 0.432968 + 0.0487838i
\(277\) 363.232 174.923i 1.31131 0.631492i 0.358064 0.933697i \(-0.383437\pi\)
0.953243 + 0.302205i \(0.0977227\pi\)
\(278\) −224.381 224.381i −0.807127 0.807127i
\(279\) 130.031 371.608i 0.466062 1.33193i
\(280\) −5.84097 + 9.29585i −0.0208606 + 0.0331995i
\(281\) 55.4249 + 26.6912i 0.197242 + 0.0949865i 0.529897 0.848062i \(-0.322230\pi\)
−0.332656 + 0.943048i \(0.607945\pi\)
\(282\) −11.6420 33.2708i −0.0412835 0.117982i
\(283\) 172.772 + 39.4340i 0.610501 + 0.139343i 0.516583 0.856237i \(-0.327204\pi\)
0.0939179 + 0.995580i \(0.470061\pi\)
\(284\) 24.9503 + 31.2867i 0.0878532 + 0.110164i
\(285\) 10.2046 12.7961i 0.0358055 0.0448987i
\(286\) 109.288 + 478.820i 0.382124 + 1.67420i
\(287\) −74.1042 117.936i −0.258203 0.410927i
\(288\) 21.2470 + 188.572i 0.0737742 + 0.654764i
\(289\) 219.224i 0.758561i
\(290\) −8.25905 3.39374i −0.0284795 0.0117026i
\(291\) 32.1814 0.110589
\(292\) −115.436 + 13.0065i −0.395329 + 0.0445429i
\(293\) −42.8502 + 26.9246i −0.146246 + 0.0918927i −0.603168 0.797614i \(-0.706095\pi\)
0.456921 + 0.889507i \(0.348952\pi\)
\(294\) 3.01722 0.688662i 0.0102627 0.00234239i
\(295\) 3.97301 + 3.16837i 0.0134678 + 0.0107402i
\(296\) −166.183 + 132.526i −0.561428 + 0.447724i
\(297\) 25.7398 112.774i 0.0866661 0.379709i
\(298\) −184.852 + 64.6826i −0.620310 + 0.217056i
\(299\) −233.038 + 483.909i −0.779392 + 1.61842i
\(300\) −105.401 66.2276i −0.351335 0.220759i
\(301\) −253.529 88.7138i −0.842290 0.294730i
\(302\) 12.2241 12.2241i 0.0404771 0.0404771i
\(303\) −216.504 449.576i −0.714536 1.48375i
\(304\) 23.2785 206.602i 0.0765739 0.679612i
\(305\) −0.694563 0.0782585i −0.00227726 0.000256585i
\(306\) 140.514 67.6678i 0.459195 0.221137i
\(307\) 91.5953 + 91.5953i 0.298356 + 0.298356i 0.840370 0.542014i \(-0.182338\pi\)
−0.542014 + 0.840370i \(0.682338\pi\)
\(308\) −33.3362 + 95.2695i −0.108235 + 0.309317i
\(309\) −286.426 + 455.844i −0.926944 + 1.47522i
\(310\) −9.93573 4.78479i −0.0320507 0.0154348i
\(311\) 161.202 + 460.688i 0.518333 + 1.48131i 0.844269 + 0.535919i \(0.180035\pi\)
−0.325936 + 0.945392i \(0.605680\pi\)
\(312\) −843.344 192.488i −2.70303 0.616948i
\(313\) −331.292 415.427i −1.05844 1.32724i −0.942581 0.333979i \(-0.891609\pi\)
−0.115861 0.993265i \(-0.536963\pi\)
\(314\) 81.2328 101.863i 0.258703 0.324403i
\(315\) 3.09091 + 13.5422i 0.00981243 + 0.0429911i
\(316\) 50.5846 + 80.5050i 0.160078 + 0.254763i
\(317\) 49.7527 + 441.567i 0.156948 + 1.39296i 0.787264 + 0.616617i \(0.211497\pi\)
−0.630315 + 0.776339i \(0.717074\pi\)
\(318\) 621.512i 1.95444i
\(319\) −371.428 62.0306i −1.16435 0.194453i
\(320\) 12.7814 0.0399420
\(321\) 631.225 71.1220i 1.96643 0.221564i
\(322\) 241.806 151.937i 0.750949 0.471853i
\(323\) 164.443 37.5330i 0.509112 0.116201i
\(324\) −51.5232 41.0884i −0.159022 0.126816i
\(325\) 434.674 346.641i 1.33746 1.06659i
\(326\) 10.7543 47.1177i 0.0329886 0.144533i
\(327\) −133.137 + 46.5866i −0.407146 + 0.142467i
\(328\) −75.3204 + 156.404i −0.229635 + 0.476843i
\(329\) 27.3951 + 17.2135i 0.0832677 + 0.0523205i
\(330\) −16.8737 5.90437i −0.0511325 0.0178920i
\(331\) −206.567 + 206.567i −0.624068 + 0.624068i −0.946569 0.322501i \(-0.895477\pi\)
0.322501 + 0.946569i \(0.395477\pi\)
\(332\) 13.3428 + 27.7066i 0.0401891 + 0.0834535i
\(333\) −30.1108 + 267.240i −0.0904227 + 0.802524i
\(334\) 71.3076 + 8.03443i 0.213496 + 0.0240552i
\(335\) −1.08530 + 0.522654i −0.00323971 + 0.00156016i
\(336\) 226.926 + 226.926i 0.675375 + 0.675375i
\(337\) 156.253 446.546i 0.463659 1.32506i −0.440457 0.897774i \(-0.645184\pi\)
0.904116 0.427287i \(-0.140531\pi\)
\(338\) 295.375 470.087i 0.873891 1.39079i
\(339\) 388.706 + 187.191i 1.14663 + 0.552186i
\(340\) 0.557670 + 1.59373i 0.00164021 + 0.00468744i
\(341\) −453.421 103.490i −1.32968 0.303491i
\(342\) −235.059 294.754i −0.687306 0.861854i
\(343\) −214.737 + 269.272i −0.626055 + 0.785049i
\(344\) 74.4930 + 326.375i 0.216549 + 0.948765i
\(345\) −10.4012 16.5535i −0.0301485 0.0479810i
\(346\) −24.1587 214.414i −0.0698228 0.619694i
\(347\) 511.474i 1.47399i −0.675899 0.736994i \(-0.736245\pi\)
0.675899 0.736994i \(-0.263755\pi\)
\(348\) 83.3355 118.155i 0.239470 0.339527i
\(349\) −482.022 −1.38115 −0.690576 0.723260i \(-0.742643\pi\)
−0.690576 + 0.723260i \(0.742643\pi\)
\(350\) −293.753 + 33.0980i −0.839293 + 0.0945657i
\(351\) −167.961 + 105.537i −0.478521 + 0.300675i
\(352\) 218.550 49.8827i 0.620881 0.141712i
\(353\) 190.763 + 152.128i 0.540404 + 0.430958i 0.855273 0.518177i \(-0.173389\pi\)
−0.314869 + 0.949135i \(0.601961\pi\)
\(354\) 166.447 132.737i 0.470189 0.374963i
\(355\) 1.44764 6.34252i 0.00407785 0.0178662i
\(356\) −28.4110 + 9.94145i −0.0798063 + 0.0279254i
\(357\) −112.964 + 234.573i −0.316427 + 0.657067i
\(358\) 209.779 + 131.813i 0.585975 + 0.368192i
\(359\) 569.212 + 199.176i 1.58555 + 0.554808i 0.972027 0.234870i \(-0.0754663\pi\)
0.613522 + 0.789677i \(0.289752\pi\)
\(360\) 12.2415 12.2415i 0.0340043 0.0340043i
\(361\) −20.2788 42.1094i −0.0561741 0.116647i
\(362\) −41.3753 + 367.216i −0.114296 + 1.01441i
\(363\) −211.568 23.8380i −0.582832 0.0656694i
\(364\) 155.947 75.1001i 0.428426 0.206319i
\(365\) 13.3539 + 13.3539i 0.0365861 + 0.0365861i
\(366\) −9.67138 + 27.6392i −0.0264245 + 0.0755170i
\(367\) 137.681 219.118i 0.375153 0.597052i −0.604777 0.796395i \(-0.706738\pi\)
0.979930 + 0.199343i \(0.0638807\pi\)
\(368\) −223.751 107.753i −0.608020 0.292807i
\(369\) 72.5420 + 207.313i 0.196591 + 0.561824i
\(370\) 7.34407 + 1.67624i 0.0198488 + 0.00453037i
\(371\) −355.684 446.013i −0.958716 1.20219i
\(372\) 111.337 139.612i 0.299294 0.375302i
\(373\) −135.641 594.282i −0.363649 1.59325i −0.743850 0.668347i \(-0.767002\pi\)
0.380201 0.924904i \(-0.375855\pi\)
\(374\) −98.0185 155.996i −0.262082 0.417101i
\(375\) 4.53460 + 40.2457i 0.0120923 + 0.107322i
\(376\) 40.3241i 0.107245i
\(377\) 375.174 + 525.611i 0.995158 + 1.39419i
\(378\) 105.472 0.279026
\(379\) −160.764 + 18.1138i −0.424180 + 0.0477936i −0.321475 0.946918i \(-0.604179\pi\)
−0.102706 + 0.994712i \(0.532750\pi\)
\(380\) 3.45602 2.17156i 0.00909480 0.00571464i
\(381\) −441.331 + 100.731i −1.15835 + 0.264386i
\(382\) 264.440 + 210.884i 0.692251 + 0.552052i
\(383\) −272.105 + 216.997i −0.710458 + 0.566571i −0.910647 0.413186i \(-0.864416\pi\)
0.200189 + 0.979757i \(0.435845\pi\)
\(384\) 50.4479 221.027i 0.131375 0.575591i
\(385\) 15.4880 5.41950i 0.0402287 0.0140766i
\(386\) 236.304 490.691i 0.612187 1.27122i
\(387\) 358.637 + 225.347i 0.926712 + 0.582292i
\(388\) 7.57518 + 2.65067i 0.0195237 + 0.00683163i
\(389\) 254.246 254.246i 0.653588 0.653588i −0.300267 0.953855i \(-0.597076\pi\)
0.953855 + 0.300267i \(0.0970758\pi\)
\(390\) 13.3014 + 27.6207i 0.0341062 + 0.0708222i
\(391\) 22.5582 200.210i 0.0576936 0.512045i
\(392\) 3.51816 + 0.396401i 0.00897490 + 0.00101123i
\(393\) −387.605 + 186.661i −0.986273 + 0.474964i
\(394\) 68.1051 + 68.1051i 0.172856 + 0.172856i
\(395\) 5.10510 14.5895i 0.0129243 0.0369355i
\(396\) 84.6793 134.766i 0.213837 0.340319i
\(397\) 110.601 + 53.2627i 0.278592 + 0.134163i 0.567963 0.823054i \(-0.307732\pi\)
−0.289371 + 0.957217i \(0.593446\pi\)
\(398\) 16.2006 + 46.2987i 0.0407051 + 0.116328i
\(399\) 613.591 + 140.048i 1.53782 + 0.350998i
\(400\) 160.281 + 200.986i 0.400702 + 0.502465i
\(401\) 158.554 198.821i 0.395398 0.495813i −0.543788 0.839223i \(-0.683010\pi\)
0.939186 + 0.343410i \(0.111582\pi\)
\(402\) 11.2297 + 49.2005i 0.0279346 + 0.122389i
\(403\) 424.325 + 675.309i 1.05292 + 1.67570i
\(404\) −13.9329 123.658i −0.0344875 0.306085i
\(405\) 10.7135i 0.0264531i
\(406\) −20.2194 342.765i −0.0498015 0.844248i
\(407\) 317.690 0.780565
\(408\) 322.451 36.3315i 0.790321 0.0890477i
\(409\) −55.7403 + 35.0239i −0.136284 + 0.0856331i −0.598449 0.801161i \(-0.704216\pi\)
0.462164 + 0.886794i \(0.347073\pi\)
\(410\) 5.99796 1.36900i 0.0146292 0.00333901i
\(411\) −643.334 513.042i −1.56529 1.24828i
\(412\) −104.968 + 83.7092i −0.254777 + 0.203178i
\(413\) −43.4830 + 190.511i −0.105286 + 0.461286i
\(414\) −425.056 + 148.734i −1.02671 + 0.359260i
\(415\) 2.16915 4.50428i 0.00522686 0.0108537i
\(416\) −325.501 204.526i −0.782454 0.491649i
\(417\) −788.467 275.897i −1.89081 0.661623i
\(418\) −314.915 + 314.915i −0.753386 + 0.753386i
\(419\) −226.933 471.231i −0.541606 1.12466i −0.974743 0.223329i \(-0.928308\pi\)
0.433137 0.901328i \(-0.357407\pi\)
\(420\) −0.705408 + 6.26067i −0.00167954 + 0.0149064i
\(421\) −192.380 21.6760i −0.456960 0.0514871i −0.119515 0.992832i \(-0.538134\pi\)
−0.337445 + 0.941345i \(0.609563\pi\)
\(422\) −456.421 + 219.801i −1.08157 + 0.520855i
\(423\) −36.0761 36.0761i −0.0852862 0.0852862i
\(424\) −234.828 + 671.100i −0.553840 + 1.58278i
\(425\) −110.958 + 176.589i −0.261078 + 0.415503i
\(426\) −245.558 118.255i −0.576428 0.277593i
\(427\) −8.87715 25.3694i −0.0207896 0.0594132i
\(428\) 154.442 + 35.2504i 0.360846 + 0.0823608i
\(429\) 806.107 + 1010.83i 1.87904 + 2.35624i
\(430\) 7.39717 9.27576i 0.0172027 0.0215715i
\(431\) −58.0221 254.212i −0.134622 0.589818i −0.996565 0.0828129i \(-0.973610\pi\)
0.861943 0.507005i \(-0.169248\pi\)
\(432\) −48.7984 77.6623i −0.112959 0.179774i
\(433\) 6.90278 + 61.2639i 0.0159418 + 0.141487i 0.999162 0.0409369i \(-0.0130343\pi\)
−0.983220 + 0.182424i \(0.941606\pi\)
\(434\) 424.064i 0.977106i
\(435\) −23.4649 + 1.38417i −0.0539422 + 0.00318201i
\(436\) −35.1763 −0.0806795
\(437\) −483.975 + 54.5309i −1.10750 + 0.124785i
\(438\) 669.918 420.937i 1.52949 0.961044i
\(439\) −173.225 + 39.5375i −0.394590 + 0.0900626i −0.415212 0.909725i \(-0.636293\pi\)
0.0206218 + 0.999787i \(0.493435\pi\)
\(440\) −15.9892 12.7509i −0.0363390 0.0289794i
\(441\) 3.50217 2.79289i 0.00794143 0.00633308i
\(442\) −70.3028 + 308.017i −0.159056 + 0.696871i
\(443\) 632.160 221.202i 1.42700 0.499328i 0.497276 0.867592i \(-0.334334\pi\)
0.929721 + 0.368265i \(0.120048\pi\)
\(444\) −52.9248 + 109.899i −0.119200 + 0.247521i
\(445\) 4.14336 + 2.60345i 0.00931093 + 0.00585044i
\(446\) 110.164 + 38.5481i 0.247005 + 0.0864308i
\(447\) −364.548 + 364.548i −0.815544 + 0.815544i
\(448\) 213.252 + 442.823i 0.476010 + 0.988445i
\(449\) 28.7774 255.406i 0.0640921 0.568834i −0.920094 0.391697i \(-0.871888\pi\)
0.984186 0.177136i \(-0.0566834\pi\)
\(450\) 463.218 + 52.1922i 1.02937 + 0.115983i
\(451\) 233.765 112.575i 0.518327 0.249613i
\(452\) 76.0792 + 76.0792i 0.168317 + 0.168317i
\(453\) 15.0306 42.9550i 0.0331801 0.0948233i
\(454\) −399.541 + 635.865i −0.880045 + 1.40058i
\(455\) −25.3524 12.2091i −0.0557196 0.0268331i
\(456\) −259.073 740.388i −0.568142 1.62366i
\(457\) 508.462 + 116.053i 1.11261 + 0.253946i 0.739043 0.673658i \(-0.235278\pi\)
0.373566 + 0.927604i \(0.378135\pi\)
\(458\) 97.0308 + 121.673i 0.211858 + 0.265661i
\(459\) 46.3945 58.1768i 0.101077 0.126747i
\(460\) −1.08489 4.75323i −0.00235846 0.0103331i
\(461\) −305.337 485.941i −0.662336 1.05410i −0.993859 0.110655i \(-0.964705\pi\)
0.331523 0.943447i \(-0.392438\pi\)
\(462\) −76.9687 683.116i −0.166599 1.47861i
\(463\) 548.047i 1.18369i 0.806053 + 0.591843i \(0.201600\pi\)
−0.806053 + 0.591843i \(0.798400\pi\)
\(464\) −243.033 + 173.474i −0.523779 + 0.373867i
\(465\) −29.0304 −0.0624310
\(466\) 195.290 22.0039i 0.419077 0.0472187i
\(467\) −696.323 + 437.528i −1.49105 + 0.936892i −0.493304 + 0.869857i \(0.664211\pi\)
−0.997751 + 0.0670350i \(0.978646\pi\)
\(468\) −266.099 + 60.7354i −0.568588 + 0.129776i
\(469\) −36.2156 28.8810i −0.0772187 0.0615799i
\(470\) −1.11730 + 0.891017i −0.00237724 + 0.00189578i
\(471\) 76.3196 334.378i 0.162037 0.709932i
\(472\) 229.880 80.4385i 0.487034 0.170420i
\(473\) 217.095 450.801i 0.458974 0.953069i
\(474\) −548.304 344.522i −1.15676 0.726840i
\(475\) 475.858 + 166.510i 1.00181 + 0.350547i
\(476\) −45.9116 + 45.9116i −0.0964530 + 0.0964530i
\(477\) 390.312 + 810.491i 0.818264 + 1.69914i
\(478\) 33.3308 295.819i 0.0697297 0.618868i
\(479\) 272.204 + 30.6701i 0.568277 + 0.0640294i 0.391428 0.920209i \(-0.371981\pi\)
0.176848 + 0.984238i \(0.443410\pi\)
\(480\) 12.6070 6.07123i 0.0262647 0.0126484i
\(481\) −385.230 385.230i −0.800894 0.800894i
\(482\) −2.10106 + 6.00448i −0.00435904 + 0.0124574i
\(483\) 399.968 636.546i 0.828092 1.31790i
\(484\) −47.8375 23.0373i −0.0988379 0.0475978i
\(485\) −0.430922 1.23150i −0.000888498 0.00253918i
\(486\) 570.343 + 130.177i 1.17354 + 0.267854i
\(487\) 77.1649 + 96.7617i 0.158449 + 0.198689i 0.854719 0.519091i \(-0.173730\pi\)
−0.696269 + 0.717781i \(0.745158\pi\)
\(488\) −20.8861 + 26.1903i −0.0427993 + 0.0536686i
\(489\) −28.3104 124.036i −0.0578944 0.253652i
\(490\) −0.0667551 0.106240i −0.000136235 0.000216817i
\(491\) 11.6732 + 103.602i 0.0237743 + 0.211002i 0.999983 0.00583045i \(-0.00185590\pi\)
−0.976209 + 0.216833i \(0.930427\pi\)
\(492\) 99.6214i 0.202482i
\(493\) −197.958 139.621i −0.401538 0.283207i
\(494\) 763.731 1.54601
\(495\) −25.7124 + 2.89709i −0.0519442 + 0.00585271i
\(496\) −312.251 + 196.201i −0.629539 + 0.395566i
\(497\) 243.895 55.6675i 0.490734 0.112007i
\(498\) −163.751 130.587i −0.328818 0.262223i
\(499\) −276.912 + 220.830i −0.554935 + 0.442546i −0.860372 0.509666i \(-0.829769\pi\)
0.305437 + 0.952212i \(0.401197\pi\)
\(500\) −2.24750 + 9.84694i −0.00449500 + 0.0196939i
\(501\) 178.302 62.3907i 0.355893 0.124532i
\(502\) 140.359 291.459i 0.279600 0.580596i
\(503\) −437.771 275.070i −0.870320 0.546858i 0.0212333 0.999775i \(-0.493241\pi\)
−0.891553 + 0.452916i \(0.850384\pi\)
\(504\) 628.363 + 219.874i 1.24675 + 0.436257i
\(505\) −14.3051 + 14.3051i −0.0283269 + 0.0283269i
\(506\) 230.815 + 479.292i 0.456155 + 0.947217i
\(507\) 163.636 1452.31i 0.322754 2.86452i
\(508\) −112.182 12.6399i −0.220830 0.0248816i
\(509\) 282.331 135.964i 0.554679 0.267119i −0.135477 0.990781i \(-0.543257\pi\)
0.690155 + 0.723661i \(0.257542\pi\)
\(510\) −8.13167 8.13167i −0.0159445 0.0159445i
\(511\) −239.853 + 685.462i −0.469381 + 1.34141i
\(512\) 284.940 453.480i 0.556524 0.885703i
\(513\) −162.063 78.0456i −0.315913 0.152136i
\(514\) −80.6617 230.518i −0.156929 0.448479i
\(515\) 21.2794 + 4.85688i 0.0413192 + 0.00943083i
\(516\) 119.781 + 150.200i 0.232133 + 0.291086i
\(517\) −37.5773 + 47.1204i −0.0726833 + 0.0911420i
\(518\) 64.4580 + 282.409i 0.124436 + 0.545191i
\(519\) −302.200 480.948i −0.582273 0.926683i
\(520\) 3.92667 + 34.8502i 0.00755129 + 0.0670195i
\(521\) 903.060i 1.73332i 0.498898 + 0.866661i \(0.333738\pi\)
−0.498898 + 0.866661i \(0.666262\pi\)
\(522\) −89.1892 + 534.048i −0.170860 + 1.02308i
\(523\) 643.715 1.23081 0.615407 0.788210i \(-0.288992\pi\)
0.615407 + 0.788210i \(0.288992\pi\)
\(524\) −106.613 + 12.0124i −0.203460 + 0.0229244i
\(525\) −658.911 + 414.021i −1.25507 + 0.788612i
\(526\) 23.6853 5.40601i 0.0450290 0.0102776i
\(527\) −233.908 186.535i −0.443847 0.353957i
\(528\) −467.389 + 372.730i −0.885206 + 0.705928i
\(529\) −11.7403 + 51.4375i −0.0221934 + 0.0972354i
\(530\) 23.7837 8.32228i 0.0448749 0.0157024i
\(531\) 133.698 277.627i 0.251785 0.522838i
\(532\) 132.898 + 83.5053i 0.249808 + 0.156965i
\(533\) −419.972 146.955i −0.787940 0.275712i
\(534\) 144.961 144.961i 0.271463 0.271463i
\(535\) −11.1740 23.2031i −0.0208860 0.0433702i
\(536\) −6.46394 + 57.3690i −0.0120596 + 0.107032i
\(537\) 648.103 + 73.0236i 1.20690 + 0.135984i
\(538\) −187.229 + 90.1649i −0.348010 + 0.167593i
\(539\) −3.74172 3.74172i −0.00694196 0.00694196i
\(540\) 0.594716 1.69960i 0.00110133 0.00314741i
\(541\) 63.1537 100.509i 0.116735 0.185783i −0.783246 0.621712i \(-0.786437\pi\)
0.899981 + 0.435929i \(0.143580\pi\)
\(542\) −658.063 316.906i −1.21414 0.584698i
\(543\) 321.296 + 918.211i 0.591705 + 1.69100i
\(544\) 140.590 + 32.0887i 0.258437 + 0.0589865i
\(545\) 3.56551 + 4.47101i 0.00654222 + 0.00820368i
\(546\) −735.013 + 921.677i −1.34618 + 1.68805i
\(547\) −141.842 621.450i −0.259309 1.13611i −0.921993 0.387206i \(-0.873440\pi\)
0.662684 0.748899i \(-0.269417\pi\)
\(548\) −109.177 173.754i −0.199228 0.317070i
\(549\) 4.74544 + 42.1170i 0.00864379 + 0.0767158i
\(550\) 550.664i 1.00121i
\(551\) −222.566 + 541.638i −0.403931 + 0.983010i
\(552\) −936.963 −1.69740
\(553\) 590.643 66.5495i 1.06807 0.120343i
\(554\) −579.808 + 364.317i −1.04658 + 0.657613i
\(555\) 19.3330 4.41264i 0.0348343 0.00795071i
\(556\) −162.873 129.887i −0.292936 0.233609i
\(557\) 593.908 473.626i 1.06626 0.850316i 0.0770829 0.997025i \(-0.475439\pi\)
0.989180 + 0.146709i \(0.0468680\pi\)
\(558\) −148.801 + 651.940i −0.266668 + 1.16835i
\(559\) −809.889 + 283.392i −1.44882 + 0.506963i
\(560\) 5.64527 11.7225i 0.0100808 0.0209331i
\(561\) −410.654 258.031i −0.732003 0.459948i
\(562\) −98.6237 34.5099i −0.175487 0.0614055i
\(563\) −443.544 + 443.544i −0.787822 + 0.787822i −0.981137 0.193315i \(-0.938076\pi\)
0.193315 + 0.981137i \(0.438076\pi\)
\(564\) −10.0404 20.8491i −0.0178021 0.0369665i
\(565\) 1.95841 17.3814i 0.00346621 0.0307635i
\(566\) −299.109 33.7014i −0.528460 0.0595432i
\(567\) −371.179 + 178.750i −0.654636 + 0.315256i
\(568\) −220.470 220.470i −0.388152 0.388152i
\(569\) 92.2750 263.707i 0.162170 0.463456i −0.833911 0.551899i \(-0.813903\pi\)
0.996081 + 0.0884427i \(0.0281890\pi\)
\(570\) −14.7901 + 23.5383i −0.0259475 + 0.0412953i
\(571\) 438.799 + 211.315i 0.768475 + 0.370078i 0.776686 0.629888i \(-0.216899\pi\)
−0.00821061 + 0.999966i \(0.502614\pi\)
\(572\) 106.491 + 304.334i 0.186173 + 0.532053i
\(573\) 868.060 + 198.129i 1.51494 + 0.345775i
\(574\) 147.503 + 184.963i 0.256975 + 0.322236i
\(575\) 375.466 470.819i 0.652984 0.818816i
\(576\) −172.463 755.609i −0.299414 1.31182i
\(577\) 150.219 + 239.072i 0.260345 + 0.414336i 0.951161 0.308694i \(-0.0998918\pi\)
−0.690817 + 0.723030i \(0.742749\pi\)
\(578\) 41.6905 + 370.013i 0.0721288 + 0.640161i
\(579\) 1433.71i 2.47618i
\(580\) −5.63741 1.60690i −0.00971966 0.00277052i
\(581\) 192.246 0.330888
\(582\) −54.3167 + 6.12003i −0.0933277 + 0.0105155i
\(583\) 899.792 565.377i 1.54338 0.969771i
\(584\) 882.413 201.405i 1.51098 0.344872i
\(585\) 34.6918 + 27.6658i 0.0593022 + 0.0472919i
\(586\) 67.2035 53.5930i 0.114682 0.0914556i
\(587\) 36.9042 161.688i 0.0628691 0.275448i −0.933717 0.358013i \(-0.883454\pi\)
0.996586 + 0.0825656i \(0.0263114\pi\)
\(588\) 1.91773 0.671041i 0.00326144 0.00114123i
\(589\) −313.793 + 651.597i −0.532755 + 1.10628i
\(590\) −7.30830 4.59211i −0.0123870 0.00778324i
\(591\) 239.319 + 83.7412i 0.404938 + 0.141694i
\(592\) 178.124 178.124i 0.300885 0.300885i
\(593\) 464.417 + 964.372i 0.783165 + 1.62626i 0.779610 + 0.626266i \(0.215418\pi\)
0.00355571 + 0.999994i \(0.498868\pi\)
\(594\) −21.9980 + 195.237i −0.0370336 + 0.328683i
\(595\) 10.4892 + 1.18184i 0.0176288 + 0.00198629i
\(596\) −115.838 + 55.7844i −0.194358 + 0.0935980i
\(597\) 91.3060 + 91.3060i 0.152941 + 0.152941i
\(598\) 301.302 861.073i 0.503850 1.43992i
\(599\) 19.6237 31.2310i 0.0327608 0.0521385i −0.829942 0.557849i \(-0.811627\pi\)
0.862703 + 0.505711i \(0.168770\pi\)
\(600\) 873.834 + 420.816i 1.45639 + 0.701361i
\(601\) −165.010 471.571i −0.274559 0.784645i −0.995766 0.0919249i \(-0.970698\pi\)
0.721207 0.692720i \(-0.243588\pi\)
\(602\) 444.785 + 101.519i 0.738846 + 0.168637i
\(603\) 45.5424 + 57.1083i 0.0755263 + 0.0947070i
\(604\) 7.07610 8.87315i 0.0117154 0.0146906i
\(605\) 1.92076 + 8.41538i 0.00317480 + 0.0139097i
\(606\) 450.919 + 717.634i 0.744091 + 1.18421i
\(607\) −18.5846 164.942i −0.0306171 0.271734i −0.999689 0.0249540i \(-0.992056\pi\)
0.969072 0.246780i \(-0.0793725\pi\)
\(608\) 348.593i 0.573344i
\(609\) −439.457 789.866i −0.721604 1.29699i
\(610\) 1.18719 0.00194621
\(611\) 102.704 11.5720i 0.168092 0.0189394i
\(612\) 86.6929 54.4728i 0.141655 0.0890078i
\(613\) −793.283 + 181.062i −1.29410 + 0.295370i −0.813497 0.581569i \(-0.802439\pi\)
−0.480602 + 0.876939i \(0.659582\pi\)
\(614\) −172.016 137.178i −0.280157 0.223418i
\(615\) 12.6622 10.0977i 0.0205889 0.0164191i
\(616\) 174.995 766.702i 0.284082 1.24465i
\(617\) −889.197 + 311.143i −1.44116 + 0.504284i −0.933908 0.357512i \(-0.883625\pi\)
−0.507254 + 0.861797i \(0.669339\pi\)
\(618\) 396.749 823.857i 0.641988 1.33310i
\(619\) −690.219 433.693i −1.11505 0.700635i −0.157108 0.987581i \(-0.550217\pi\)
−0.957947 + 0.286946i \(0.907360\pi\)
\(620\) −6.83347 2.39113i −0.0110217 0.00385667i
\(621\) −151.929 + 151.929i −0.244653 + 0.244653i
\(622\) −359.691 746.906i −0.578281 1.20081i
\(623\) −21.0685 + 186.988i −0.0338177 + 0.300141i
\(624\) 1018.73 + 114.783i 1.63257 + 0.183947i
\(625\) −560.886 + 270.108i −0.897418 + 0.432174i
\(626\) 638.168 + 638.168i 1.01944 + 1.01944i
\(627\) −387.216 + 1106.60i −0.617569 + 1.76491i
\(628\) 45.5064 72.4231i 0.0724625 0.115323i
\(629\) 184.126 + 88.6705i 0.292728 + 0.140971i
\(630\) −7.79229 22.2691i −0.0123687 0.0353477i
\(631\) 430.841 + 98.3366i 0.682791 + 0.155842i 0.549827 0.835278i \(-0.314694\pi\)
0.132963 + 0.991121i \(0.457551\pi\)
\(632\) −461.879 579.178i −0.730822 0.916421i
\(633\) −831.474 + 1042.63i −1.31354 + 1.64713i
\(634\) −167.948 735.828i −0.264902 1.16061i
\(635\) 9.76432 + 15.5398i 0.0153769 + 0.0244722i
\(636\) 45.6838 + 405.455i 0.0718299 + 0.637508i
\(637\) 9.07439i 0.0142455i
\(638\) 638.704 + 34.0616i 1.00110 + 0.0533881i
\(639\) −394.488 −0.617353
\(640\) −9.13367 + 1.02912i −0.0142714 + 0.00160800i
\(641\) 439.716 276.292i 0.685984 0.431032i −0.143435 0.989660i \(-0.545815\pi\)
0.829419 + 0.558628i \(0.188672\pi\)
\(642\) −1051.87 + 240.084i −1.63843 + 0.373962i
\(643\) 886.679 + 707.103i 1.37897 + 1.09969i 0.983439 + 0.181241i \(0.0580115\pi\)
0.395533 + 0.918452i \(0.370560\pi\)
\(644\) 146.579 116.893i 0.227607 0.181510i
\(645\) 6.94978 30.4490i 0.0107748 0.0472077i
\(646\) −270.414 + 94.6219i −0.418597 + 0.146474i
\(647\) −64.3196 + 133.561i −0.0994120 + 0.206431i −0.944743 0.327812i \(-0.893689\pi\)
0.845331 + 0.534243i \(0.179403\pi\)
\(648\) 434.760 + 273.178i 0.670926 + 0.421571i
\(649\) −343.583 120.225i −0.529404 0.185246i
\(650\) −667.734 + 667.734i −1.02728 + 1.02728i
\(651\) −484.360 1005.78i −0.744024 1.54498i
\(652\) 3.55242 31.5286i 0.00544850 0.0483568i
\(653\) −828.414 93.3398i −1.26863 0.142940i −0.548128 0.836395i \(-0.684659\pi\)
−0.720500 + 0.693455i \(0.756088\pi\)
\(654\) 215.853 103.949i 0.330050 0.158944i
\(655\) 12.3332 + 12.3332i 0.0188294 + 0.0188294i
\(656\) 67.9493 194.188i 0.103581 0.296018i
\(657\) 609.265 969.640i 0.927344 1.47586i
\(658\) −49.5117 23.8436i −0.0752458 0.0362365i
\(659\) 30.0943 + 86.0046i 0.0456666 + 0.130508i 0.964458 0.264235i \(-0.0851194\pi\)
−0.918792 + 0.394743i \(0.870834\pi\)
\(660\) −11.4419 2.61154i −0.0173362 0.00395688i
\(661\) −17.7926 22.3113i −0.0269177 0.0337538i 0.768190 0.640221i \(-0.221157\pi\)
−0.795108 + 0.606468i \(0.792586\pi\)
\(662\) 309.366 387.933i 0.467320 0.586001i
\(663\) 185.070 + 810.845i 0.279140 + 1.22299i
\(664\) −127.476 202.877i −0.191982 0.305538i
\(665\) −2.85692 25.3559i −0.00429613 0.0381292i
\(666\) 456.783i 0.685860i
\(667\) 522.868 + 464.617i 0.783910 + 0.696578i
\(668\) 47.1095 0.0705231
\(669\) 305.314 34.4006i 0.456373 0.0514209i
\(670\) 1.73241 1.08855i 0.00258569 0.00162470i
\(671\) 48.8125 11.1411i 0.0727458 0.0166038i
\(672\) 420.686 + 335.486i 0.626020 + 0.499235i
\(673\) −459.480 + 366.423i −0.682734 + 0.544463i −0.902286 0.431138i \(-0.858112\pi\)
0.219551 + 0.975601i \(0.429541\pi\)
\(674\) −178.808 + 783.408i −0.265293 + 1.16233i
\(675\) 209.929 73.4572i 0.311005 0.108825i
\(676\) 158.140 328.382i 0.233935 0.485772i
\(677\) −104.008 65.3523i −0.153630 0.0965322i 0.453023 0.891499i \(-0.350346\pi\)
−0.606653 + 0.794967i \(0.707488\pi\)
\(678\) −691.668 242.025i −1.02016 0.356969i
\(679\) 35.4767 35.4767i 0.0522485 0.0522485i
\(680\) −5.70806 11.8529i −0.00839420 0.0174307i
\(681\) −221.344 + 1964.48i −0.325027 + 2.88470i
\(682\) 784.978 + 88.4458i 1.15099 + 0.129686i
\(683\) 909.152 437.825i 1.33112 0.641032i 0.373112 0.927786i \(-0.378291\pi\)
0.958004 + 0.286755i \(0.0925765\pi\)
\(684\) −175.011 175.011i −0.255864 0.255864i
\(685\) −11.0183 + 31.4886i −0.0160852 + 0.0459688i
\(686\) 311.231 495.322i 0.453690 0.722043i
\(687\) 369.108 + 177.753i 0.537275 + 0.258738i
\(688\) −131.036 374.479i −0.190459 0.544301i
\(689\) −1776.66 405.511i −2.57861 0.588550i
\(690\) 20.7035 + 25.9614i 0.0300051 + 0.0376252i
\(691\) −82.1865 + 103.059i −0.118938 + 0.149144i −0.837736 0.546075i \(-0.816121\pi\)
0.718798 + 0.695219i \(0.244693\pi\)
\(692\) −31.5208 138.102i −0.0455503 0.199569i
\(693\) −529.372 842.490i −0.763884 1.21571i
\(694\) 97.2684 + 863.280i 0.140156 + 1.24392i
\(695\) 33.8670i 0.0487296i
\(696\) −542.147 + 987.512i −0.778947 + 1.41884i
\(697\) 166.906 0.239464
\(698\) 813.571 91.6674i 1.16557 0.131329i
\(699\) 438.051 275.246i 0.626682 0.393771i
\(700\) −189.202 + 43.1842i −0.270289 + 0.0616918i
\(701\) 205.200 + 163.642i 0.292725 + 0.233441i 0.758830 0.651289i \(-0.225771\pi\)
−0.466104 + 0.884730i \(0.654343\pi\)
\(702\) 263.419 210.070i 0.375241 0.299245i
\(703\) 109.930 481.633i 0.156372 0.685111i
\(704\) −864.181 + 302.390i −1.22753 + 0.429531i
\(705\) −1.63228 + 3.38946i −0.00231529 + 0.00480774i
\(706\) −350.905 220.488i −0.497033 0.312307i
\(707\) −734.285 256.937i −1.03859 0.363419i
\(708\) 98.8282 98.8282i 0.139588 0.139588i
\(709\) 242.106 + 502.738i 0.341475 + 0.709081i 0.999017 0.0443379i \(-0.0141178\pi\)
−0.657541 + 0.753418i \(0.728404\pi\)
\(710\) −1.23719 + 10.9804i −0.00174252 + 0.0154653i
\(711\) −931.384 104.942i −1.30996 0.147597i
\(712\) 211.299 101.756i 0.296768 0.142916i
\(713\) 610.852 + 610.852i 0.856735 + 0.856735i
\(714\) 146.055 417.402i 0.204559 0.584597i
\(715\) 27.8877 44.3830i 0.0390038 0.0620742i
\(716\) 146.542 + 70.5710i 0.204668 + 0.0985628i
\(717\) −258.827 739.685i −0.360986 1.03164i
\(718\) −998.611 227.926i −1.39082 0.317446i
\(719\) 173.291 + 217.300i 0.241017 + 0.302225i 0.887597 0.460620i \(-0.152373\pi\)
−0.646581 + 0.762846i \(0.723802\pi\)
\(720\) −12.7922 + 16.0409i −0.0177669 + 0.0222790i
\(721\) 186.766 + 818.277i 0.259038 + 1.13492i
\(722\) 42.2353 + 67.2171i 0.0584976 + 0.0930984i
\(723\) 1.87500 + 16.6411i 0.00259336 + 0.0230167i
\(724\) 242.602i 0.335085i
\(725\) −278.967 668.148i −0.384782 0.921583i
\(726\) 361.624 0.498105
\(727\) −868.909 + 97.9026i −1.19520 + 0.134667i −0.687055 0.726606i \(-0.741097\pi\)
−0.508144 + 0.861272i \(0.669668\pi\)
\(728\) −1141.90 + 717.502i −1.56854 + 0.985580i
\(729\) 982.845 224.328i 1.34821 0.307720i
\(730\) −25.0787 19.9996i −0.0343543 0.0273967i
\(731\) 251.647 200.681i 0.344250 0.274530i
\(732\) −4.27771 + 18.7419i −0.00584386 + 0.0256036i
\(733\) 121.421 42.4869i 0.165649 0.0579631i −0.246181 0.969224i \(-0.579176\pi\)
0.411830 + 0.911261i \(0.364890\pi\)
\(734\) −190.712 + 396.017i −0.259825 + 0.539533i
\(735\) −0.279674 0.175731i −0.000380509 0.000239090i
\(736\) −393.024 137.525i −0.534000 0.186855i
\(737\) 61.0145 61.0145i 0.0827876 0.0827876i
\(738\) −161.864 336.114i −0.219328 0.455439i
\(739\) 61.1890 543.068i 0.0827998 0.734868i −0.881886 0.471463i \(-0.843726\pi\)
0.964685 0.263405i \(-0.0848455\pi\)
\(740\) 4.91426 + 0.553704i 0.00664089 + 0.000748249i
\(741\) 1811.40 872.322i 2.44453 1.17722i
\(742\) 685.153 + 685.153i 0.923387 + 0.923387i
\(743\) 73.3592 209.649i 0.0987338 0.282165i −0.883913 0.467651i \(-0.845100\pi\)
0.982647 + 0.185486i \(0.0593860\pi\)
\(744\) −740.231 + 1178.07i −0.994934 + 1.58343i
\(745\) 18.8318 + 9.06891i 0.0252776 + 0.0121730i
\(746\) 341.955 + 977.252i 0.458385 + 1.30999i
\(747\) −295.551 67.4577i −0.395651 0.0903048i
\(748\) −75.4107 94.5620i −0.100816 0.126420i
\(749\) 617.456 774.266i 0.824374 1.03373i
\(750\) −15.3073 67.0655i −0.0204097 0.0894207i
\(751\) −4.56022 7.25755i −0.00607220 0.00966385i 0.843674 0.536855i \(-0.180388\pi\)
−0.849747 + 0.527191i \(0.823245\pi\)
\(752\) 5.35069 + 47.4887i 0.00711528 + 0.0631498i
\(753\) 851.592i 1.13093i
\(754\) −733.187 815.793i −0.972397 1.08195i
\(755\) −1.84504 −0.00244377
\(756\) 68.8067 7.75265i 0.0910141 0.0102548i
\(757\) 642.972 404.006i 0.849368 0.533693i −0.0355886 0.999367i \(-0.511331\pi\)
0.884957 + 0.465673i \(0.154188\pi\)
\(758\) 267.898 61.1460i 0.353427 0.0806675i
\(759\) 1094.88 + 873.138i 1.44253 + 1.15038i
\(760\) −24.8637 + 19.8282i −0.0327154 + 0.0260897i
\(761\) −61.0011 + 267.263i −0.0801592 + 0.351200i −0.999063 0.0432815i \(-0.986219\pi\)
0.918904 + 0.394482i \(0.129076\pi\)
\(762\) 725.736 253.946i 0.952409 0.333262i
\(763\) −95.4128 + 198.127i −0.125050 + 0.259668i
\(764\) 188.013 + 118.137i 0.246091 + 0.154629i
\(765\) −15.7109 5.49750i −0.0205372 0.00718627i
\(766\) 418.001 418.001i 0.545693 0.545693i
\(767\) 270.844 + 562.413i 0.353121 + 0.733263i
\(768\) 98.0770 870.457i 0.127704 1.13341i
\(769\) 1376.20 + 155.060i 1.78959 + 0.201639i 0.943494 0.331390i \(-0.107518\pi\)
0.846097 + 0.533028i \(0.178946\pi\)
\(770\) −25.1105 + 12.0926i −0.0326111 + 0.0157047i
\(771\) −454.606 454.606i −0.589631