Properties

Label 224.3.v.b.13.19
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.19
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28270 - 1.53450i) q^{2} +(-0.416824 - 0.172654i) q^{3} +(-0.709381 + 3.93659i) q^{4} +(1.21861 + 2.94198i) q^{5} +(0.269721 + 0.861080i) q^{6} +(-3.48320 - 6.07185i) q^{7} +(6.95063 - 3.96091i) q^{8} +(-6.22003 - 6.22003i) q^{9} +O(q^{10})\) \(q+(-1.28270 - 1.53450i) q^{2} +(-0.416824 - 0.172654i) q^{3} +(-0.709381 + 3.93659i) q^{4} +(1.21861 + 2.94198i) q^{5} +(0.269721 + 0.861080i) q^{6} +(-3.48320 - 6.07185i) q^{7} +(6.95063 - 3.96091i) q^{8} +(-6.22003 - 6.22003i) q^{9} +(2.95137 - 5.64363i) q^{10} +(6.49632 + 15.6835i) q^{11} +(0.975357 - 1.51839i) q^{12} +(-3.18050 + 7.67840i) q^{13} +(-4.84937 + 13.1333i) q^{14} -1.43669i q^{15} +(-14.9936 - 5.58509i) q^{16} -19.7748 q^{17} +(-1.56623 + 17.5230i) q^{18} +(-12.0416 + 29.0709i) q^{19} +(-12.4459 + 2.71018i) q^{20} +(0.403550 + 3.13228i) q^{21} +(15.7335 - 30.0858i) q^{22} +(7.09691 + 7.09691i) q^{23} +(-3.58106 + 0.450948i) q^{24} +(10.5074 - 10.5074i) q^{25} +(15.8621 - 4.96858i) q^{26} +(3.07263 + 7.41799i) q^{27} +(26.3733 - 9.40467i) q^{28} +(-6.56941 + 15.8600i) q^{29} +(-2.20460 + 1.84283i) q^{30} +57.4959i q^{31} +(10.6618 + 30.1716i) q^{32} -7.65888i q^{33} +(25.3651 + 30.3445i) q^{34} +(13.6186 - 17.6467i) q^{35} +(28.8981 - 20.0734i) q^{36} +(1.99927 - 0.828124i) q^{37} +(60.0550 - 18.8114i) q^{38} +(2.65142 - 2.65142i) q^{39} +(20.1230 + 15.6218i) q^{40} +(10.4173 - 10.4173i) q^{41} +(4.28886 - 4.63701i) q^{42} +(-6.95080 - 16.7807i) q^{43} +(-66.3479 + 14.4478i) q^{44} +(10.7194 - 25.8790i) q^{45} +(1.78703 - 19.9934i) q^{46} -58.0268 q^{47} +(5.28539 + 4.91670i) q^{48} +(-24.7347 + 42.2989i) q^{49} +(-29.6014 - 2.64581i) q^{50} +(8.24262 + 3.41420i) q^{51} +(-27.9706 - 17.9673i) q^{52} +(-8.74141 - 21.1036i) q^{53} +(7.44165 - 14.2300i) q^{54} +(-38.2241 + 38.2241i) q^{55} +(-48.2604 - 28.4065i) q^{56} +(10.0384 - 10.0384i) q^{57} +(32.7637 - 10.2628i) q^{58} +(-28.6149 - 69.0826i) q^{59} +(5.65566 + 1.01916i) q^{60} +(24.1717 + 10.0122i) q^{61} +(88.2274 - 73.7497i) q^{62} +(-16.1015 + 59.4326i) q^{63} +(32.6224 - 55.0616i) q^{64} -26.4655 q^{65} +(-11.7525 + 9.82401i) q^{66} +(-42.9123 + 103.599i) q^{67} +(14.0279 - 77.8454i) q^{68} +(-1.73285 - 4.18347i) q^{69} +(-44.5474 + 1.73759i) q^{70} +(44.2875 - 44.2875i) q^{71} +(-67.8701 - 18.5961i) q^{72} +(7.91330 - 7.91330i) q^{73} +(-3.83521 - 2.00564i) q^{74} +(-6.19389 + 2.56559i) q^{75} +(-105.898 - 68.0251i) q^{76} +(72.5999 - 94.0733i) q^{77} +(-7.46956 - 0.667638i) q^{78} +67.3177i q^{79} +(-1.84003 - 50.9168i) q^{80} +75.5455i q^{81} +(-29.3475 - 2.62311i) q^{82} +(20.0858 - 48.4914i) q^{83} +(-12.6168 - 0.633372i) q^{84} +(-24.0978 - 58.1772i) q^{85} +(-16.8343 + 32.1906i) q^{86} +(5.47658 - 5.47658i) q^{87} +(107.274 + 83.2788i) q^{88} +(-88.5557 - 88.5557i) q^{89} +(-53.4611 + 16.7459i) q^{90} +(57.7004 - 7.43387i) q^{91} +(-32.9721 + 22.9032i) q^{92} +(9.92690 - 23.9657i) q^{93} +(74.4308 + 89.0422i) q^{94} -100.200 q^{95} +(0.765137 - 14.4171i) q^{96} -172.596i q^{97} +(96.6347 - 16.3012i) q^{98} +(57.1445 - 137.959i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28270 1.53450i −0.641348 0.767250i
\(3\) −0.416824 0.172654i −0.138941 0.0575514i 0.312129 0.950040i \(-0.398958\pi\)
−0.451071 + 0.892488i \(0.648958\pi\)
\(4\) −0.709381 + 3.93659i −0.177345 + 0.984149i
\(5\) 1.21861 + 2.94198i 0.243722 + 0.588397i 0.997647 0.0685640i \(-0.0218417\pi\)
−0.753925 + 0.656961i \(0.771842\pi\)
\(6\) 0.269721 + 0.861080i 0.0449535 + 0.143513i
\(7\) −3.48320 6.07185i −0.497599 0.867407i
\(8\) 6.95063 3.96091i 0.868828 0.495114i
\(9\) −6.22003 6.22003i −0.691114 0.691114i
\(10\) 2.95137 5.64363i 0.295137 0.564363i
\(11\) 6.49632 + 15.6835i 0.590574 + 1.42577i 0.882949 + 0.469468i \(0.155554\pi\)
−0.292375 + 0.956304i \(0.594446\pi\)
\(12\) 0.975357 1.51839i 0.0812798 0.126533i
\(13\) −3.18050 + 7.67840i −0.244654 + 0.590646i −0.997734 0.0672823i \(-0.978567\pi\)
0.753080 + 0.657929i \(0.228567\pi\)
\(14\) −4.84937 + 13.1333i −0.346384 + 0.938093i
\(15\) 1.43669i 0.0957792i
\(16\) −14.9936 5.58509i −0.937097 0.349068i
\(17\) −19.7748 −1.16322 −0.581612 0.813466i \(-0.697578\pi\)
−0.581612 + 0.813466i \(0.697578\pi\)
\(18\) −1.56623 + 17.5230i −0.0870127 + 0.973502i
\(19\) −12.0416 + 29.0709i −0.633766 + 1.53005i 0.201086 + 0.979574i \(0.435553\pi\)
−0.834853 + 0.550474i \(0.814447\pi\)
\(20\) −12.4459 + 2.71018i −0.622293 + 0.135509i
\(21\) 0.403550 + 3.13228i 0.0192166 + 0.149156i
\(22\) 15.7335 30.0858i 0.715160 1.36753i
\(23\) 7.09691 + 7.09691i 0.308561 + 0.308561i 0.844351 0.535790i \(-0.179986\pi\)
−0.535790 + 0.844351i \(0.679986\pi\)
\(24\) −3.58106 + 0.450948i −0.149211 + 0.0187895i
\(25\) 10.5074 10.5074i 0.420297 0.420297i
\(26\) 15.8621 4.96858i 0.610082 0.191099i
\(27\) 3.07263 + 7.41799i 0.113801 + 0.274740i
\(28\) 26.3733 9.40467i 0.941904 0.335881i
\(29\) −6.56941 + 15.8600i −0.226531 + 0.546895i −0.995751 0.0920896i \(-0.970645\pi\)
0.769219 + 0.638985i \(0.220645\pi\)
\(30\) −2.20460 + 1.84283i −0.0734866 + 0.0614278i
\(31\) 57.4959i 1.85471i 0.374188 + 0.927353i \(0.377921\pi\)
−0.374188 + 0.927353i \(0.622079\pi\)
\(32\) 10.6618 + 30.1716i 0.333183 + 0.942862i
\(33\) 7.65888i 0.232087i
\(34\) 25.3651 + 30.3445i 0.746032 + 0.892484i
\(35\) 13.6186 17.6467i 0.389104 0.504192i
\(36\) 28.8981 20.0734i 0.802725 0.557593i
\(37\) 1.99927 0.828124i 0.0540342 0.0223817i −0.355503 0.934675i \(-0.615690\pi\)
0.409537 + 0.912294i \(0.365690\pi\)
\(38\) 60.0550 18.8114i 1.58039 0.495036i
\(39\) 2.65142 2.65142i 0.0679851 0.0679851i
\(40\) 20.1230 + 15.6218i 0.503076 + 0.390546i
\(41\) 10.4173 10.4173i 0.254080 0.254080i −0.568561 0.822641i \(-0.692500\pi\)
0.822641 + 0.568561i \(0.192500\pi\)
\(42\) 4.28886 4.63701i 0.102116 0.110405i
\(43\) −6.95080 16.7807i −0.161647 0.390249i 0.822216 0.569176i \(-0.192738\pi\)
−0.983862 + 0.178926i \(0.942738\pi\)
\(44\) −66.3479 + 14.4478i −1.50791 + 0.328359i
\(45\) 10.7194 25.8790i 0.238210 0.575089i
\(46\) 1.78703 19.9934i 0.0388485 0.434639i
\(47\) −58.0268 −1.23461 −0.617307 0.786723i \(-0.711776\pi\)
−0.617307 + 0.786723i \(0.711776\pi\)
\(48\) 5.28539 + 4.91670i 0.110112 + 0.102431i
\(49\) −24.7347 + 42.2989i −0.504790 + 0.863242i
\(50\) −29.6014 2.64581i −0.592029 0.0529162i
\(51\) 8.24262 + 3.41420i 0.161620 + 0.0669452i
\(52\) −27.9706 17.9673i −0.537896 0.345524i
\(53\) −8.74141 21.1036i −0.164932 0.398182i 0.819707 0.572783i \(-0.194136\pi\)
−0.984639 + 0.174601i \(0.944136\pi\)
\(54\) 7.44165 14.2300i 0.137808 0.263518i
\(55\) −38.2241 + 38.2241i −0.694984 + 0.694984i
\(56\) −48.2604 28.4065i −0.861793 0.507260i
\(57\) 10.0384 10.0384i 0.176113 0.176113i
\(58\) 32.7637 10.2628i 0.564891 0.176944i
\(59\) −28.6149 69.0826i −0.484999 1.17089i −0.957207 0.289404i \(-0.906543\pi\)
0.472208 0.881487i \(1.65654\pi\)
\(60\) 5.65566 + 1.01916i 0.0942610 + 0.0169860i
\(61\) 24.1717 + 10.0122i 0.396257 + 0.164135i 0.571908 0.820317i \(-0.306203\pi\)
−0.175652 + 0.984452i \(0.556203\pi\)
\(62\) 88.2274 73.7497i 1.42302 1.18951i
\(63\) −16.1015 + 59.4326i −0.255579 + 0.943375i
\(64\) 32.6224 55.0616i 0.509725 0.860337i
\(65\) −26.4655 −0.407162
\(66\) −11.7525 + 9.82401i −0.178069 + 0.148849i
\(67\) −42.9123 + 103.599i −0.640482 + 1.54626i 0.185549 + 0.982635i \(0.440594\pi\)
−0.826031 + 0.563625i \(0.809406\pi\)
\(68\) 14.0279 77.8454i 0.206292 1.14479i
\(69\) −1.73285 4.18347i −0.0251138 0.0606300i
\(70\) −44.5474 + 1.73759i −0.636392 + 0.0248227i
\(71\) 44.2875 44.2875i 0.623767 0.623767i −0.322726 0.946493i \(-0.604599\pi\)
0.946493 + 0.322726i \(0.104599\pi\)
\(72\) −67.8701 18.5961i −0.942640 0.258280i
\(73\) 7.91330 7.91330i 0.108401 0.108401i −0.650826 0.759227i \(-0.725577\pi\)
0.759227 + 0.650826i \(0.225577\pi\)
\(74\) −3.83521 2.00564i −0.0518271 0.0271033i
\(75\) −6.19389 + 2.56559i −0.0825852 + 0.0342079i
\(76\) −105.898 68.0251i −1.39340 0.895067i
\(77\) 72.5999 94.0733i 0.942855 1.22173i
\(78\) −7.46956 0.667638i −0.0957636 0.00855946i
\(79\) 67.3177i 0.852123i 0.904694 + 0.426062i \(0.140099\pi\)
−0.904694 + 0.426062i \(0.859901\pi\)
\(80\) −1.84003 50.9168i −0.0230004 0.636460i
\(81\) 75.5455i 0.932661i
\(82\) −29.3475 2.62311i −0.357896 0.0319892i
\(83\) 20.0858 48.4914i 0.241998 0.584234i −0.755484 0.655168i \(-0.772598\pi\)
0.997481 + 0.0709340i \(0.0225980\pi\)
\(84\) −12.6168 0.633372i −0.150200 0.00754014i
\(85\) −24.0978 58.1772i −0.283503 0.684437i
\(86\) −16.8343 + 32.1906i −0.195747 + 0.374309i
\(87\) 5.47658 5.47658i 0.0629492 0.0629492i
\(88\) 107.274 + 83.2788i 1.21903 + 0.946350i
\(89\) −88.5557 88.5557i −0.995008 0.995008i 0.00497939 0.999988i \(-0.498415\pi\)
−0.999988 + 0.00497939i \(0.998415\pi\)
\(90\) −53.4611 + 16.7459i −0.594012 + 0.186066i
\(91\) 57.7004 7.43387i 0.634070 0.0816909i
\(92\) −32.9721 + 22.9032i −0.358392 + 0.248948i
\(93\) 9.92690 23.9657i 0.106741 0.257695i
\(94\) 74.4308 + 89.0422i 0.791817 + 0.947257i
\(95\) −100.200 −1.05474
\(96\) 0.765137 14.4171i 0.00797018 0.150178i
\(97\) 172.596i 1.77934i −0.456604 0.889670i \(-0.650934\pi\)
0.456604 0.889670i \(-0.349066\pi\)
\(98\) 96.6347 16.3012i 0.986069 0.166339i
\(99\) 57.1445 137.959i 0.577217 1.39353i
\(100\) 33.9097 + 48.8172i 0.339097 + 0.488172i
\(101\) 23.8569 + 57.5957i 0.236207 + 0.570254i 0.996884 0.0788758i \(-0.0251330\pi\)
−0.760677 + 0.649130i \(0.775133\pi\)
\(102\) −5.33368 17.0277i −0.0522910 0.166938i
\(103\) 115.403 + 115.403i 1.12042 + 1.12042i 0.991679 + 0.128738i \(0.0410927\pi\)
0.128738 + 0.991679i \(0.458907\pi\)
\(104\) 8.30700 + 65.9674i 0.0798750 + 0.634302i
\(105\) −8.72335 + 5.00426i −0.0830795 + 0.0476597i
\(106\) −21.1710 + 40.4832i −0.199726 + 0.381917i
\(107\) −17.9072 43.2319i −0.167357 0.404036i 0.817843 0.575441i \(-0.195169\pi\)
−0.985201 + 0.171405i \(0.945169\pi\)
\(108\) −31.3813 + 6.83352i −0.290567 + 0.0632734i
\(109\) −153.129 63.4280i −1.40485 0.581908i −0.453844 0.891081i \(-0.649948\pi\)
−0.951006 + 0.309173i \(0.899948\pi\)
\(110\) 107.685 + 9.62498i 0.978953 + 0.0874998i
\(111\) −0.976322 −0.00879569
\(112\) 18.3136 + 110.493i 0.163515 + 0.986541i
\(113\) 134.192i 1.18754i −0.804636 0.593768i \(-0.797640\pi\)
0.804636 0.593768i \(-0.202360\pi\)
\(114\) −28.2802 2.52772i −0.248072 0.0221730i
\(115\) −12.2306 + 29.5273i −0.106353 + 0.256759i
\(116\) −57.7740 37.1119i −0.498052 0.319930i
\(117\) 67.5427 27.9771i 0.577288 0.239120i
\(118\) −69.3029 + 132.522i −0.587313 + 1.12306i
\(119\) 68.8795 + 120.070i 0.578820 + 1.00899i
\(120\) −5.69059 9.98588i −0.0474216 0.0832157i
\(121\) −118.210 + 118.210i −0.976942 + 0.976942i
\(122\) −15.6411 49.9341i −0.128206 0.409296i
\(123\) −6.14076 + 2.54358i −0.0499248 + 0.0206795i
\(124\) −226.338 40.7865i −1.82531 0.328923i
\(125\) 117.267 + 48.5734i 0.938133 + 0.388587i
\(126\) 111.853 51.5263i 0.887720 0.408939i
\(127\) 190.256 1.49808 0.749038 0.662527i \(-0.230516\pi\)
0.749038 + 0.662527i \(0.230516\pi\)
\(128\) −126.337 + 20.5682i −0.987005 + 0.160689i
\(129\) 8.19469i 0.0635248i
\(130\) 33.9472 + 40.6113i 0.261132 + 0.312395i
\(131\) 119.872 + 49.6526i 0.915053 + 0.379027i 0.789989 0.613121i \(-0.210086\pi\)
0.125064 + 0.992149i \(0.460086\pi\)
\(132\) 30.1499 + 5.43306i 0.228408 + 0.0411596i
\(133\) 218.457 28.1451i 1.64254 0.211617i
\(134\) 214.017 67.0376i 1.59714 0.500281i
\(135\) −18.0793 + 18.0793i −0.133920 + 0.133920i
\(136\) −137.447 + 78.3262i −1.01064 + 0.575928i
\(137\) −43.2162 43.2162i −0.315446 0.315446i 0.531569 0.847015i \(-0.321603\pi\)
−0.847015 + 0.531569i \(0.821603\pi\)
\(138\) −4.19682 + 8.02519i −0.0304117 + 0.0581535i
\(139\) −32.3411 + 13.3961i −0.232670 + 0.0963751i −0.495972 0.868338i \(-0.665188\pi\)
0.263302 + 0.964713i \(0.415188\pi\)
\(140\) 59.8072 + 66.1293i 0.427194 + 0.472352i
\(141\) 24.1870 + 10.0186i 0.171539 + 0.0710537i
\(142\) −124.766 11.1518i −0.878637 0.0785335i
\(143\) −141.086 −0.986613
\(144\) 58.5209 + 128.000i 0.406395 + 0.888887i
\(145\) −54.6653 −0.377002
\(146\) −22.2933 1.99260i −0.152694 0.0136479i
\(147\) 17.6131 13.3606i 0.119817 0.0908887i
\(148\) 1.84174 + 8.45776i 0.0124442 + 0.0571470i
\(149\) 63.9067 + 154.284i 0.428904 + 1.03547i 0.979636 + 0.200783i \(0.0643486\pi\)
−0.550732 + 0.834682i \(0.685651\pi\)
\(150\) 11.8818 + 6.21365i 0.0792119 + 0.0414243i
\(151\) −107.590 107.590i −0.712515 0.712515i 0.254545 0.967061i \(-0.418074\pi\)
−0.967061 + 0.254545i \(0.918074\pi\)
\(152\) 31.4508 + 249.756i 0.206913 + 1.64313i
\(153\) 123.000 + 123.000i 0.803921 + 0.803921i
\(154\) −237.479 + 9.26296i −1.54207 + 0.0601491i
\(155\) −169.152 + 70.0650i −1.09130 + 0.452032i
\(156\) 8.55669 + 12.3184i 0.0548506 + 0.0789642i
\(157\) 117.414 + 48.6344i 0.747859 + 0.309773i 0.723868 0.689939i \(-0.242363\pi\)
0.0239914 + 0.999712i \(0.492363\pi\)
\(158\) 103.299 86.3482i 0.653792 0.546508i
\(159\) 10.3057i 0.0648160i
\(160\) −75.7717 + 68.1344i −0.473573 + 0.425840i
\(161\) 18.3714 67.8113i 0.114108 0.421188i
\(162\) 115.925 96.9020i 0.715584 0.598160i
\(163\) −29.0181 + 70.0560i −0.178025 + 0.429791i −0.987552 0.157292i \(-0.949724\pi\)
0.809527 + 0.587083i \(0.199724\pi\)
\(164\) 33.6188 + 48.3984i 0.204992 + 0.295112i
\(165\) 22.5323 9.33318i 0.136559 0.0565647i
\(166\) −100.174 + 31.3781i −0.603458 + 0.189025i
\(167\) 97.2013 + 97.2013i 0.582044 + 0.582044i 0.935465 0.353421i \(-0.114982\pi\)
−0.353421 + 0.935465i \(0.614982\pi\)
\(168\) 15.2116 + 20.1729i 0.0905453 + 0.120077i
\(169\) 70.6587 + 70.6587i 0.418099 + 0.418099i
\(170\) −58.3627 + 111.602i −0.343310 + 0.656480i
\(171\) 255.721 105.923i 1.49544 0.619432i
\(172\) 70.9897 15.4586i 0.412731 0.0898753i
\(173\) 36.5174 88.1607i 0.211083 0.509599i −0.782507 0.622642i \(-0.786059\pi\)
0.993590 + 0.113042i \(0.0360595\pi\)
\(174\) −15.4286 1.37903i −0.0886701 0.00792543i
\(175\) −100.399 27.2001i −0.573707 0.155429i
\(176\) −9.80908 271.434i −0.0557334 1.54224i
\(177\) 33.7358i 0.190598i
\(178\) −22.2987 + 249.479i −0.125274 + 1.40157i
\(179\) −172.687 71.5291i −0.964730 0.399604i −0.155982 0.987760i \(-0.549854\pi\)
−0.808748 + 0.588156i \(0.799854\pi\)
\(180\) 94.2710 + 60.5561i 0.523728 + 0.336423i
\(181\) 22.1450 9.17276i 0.122348 0.0506782i −0.320670 0.947191i \(-0.603908\pi\)
0.443018 + 0.896513i \(0.353908\pi\)
\(182\) −85.4194 79.0059i −0.469337 0.434098i
\(183\) −8.34668 8.34668i −0.0456103 0.0456103i
\(184\) 77.4381 + 21.2177i 0.420859 + 0.115314i
\(185\) 4.87265 + 4.87265i 0.0263387 + 0.0263387i
\(186\) −49.5085 + 15.5078i −0.266175 + 0.0833754i
\(187\) −128.463 310.138i −0.686970 1.65849i
\(188\) 41.1631 228.428i 0.218953 1.21504i
\(189\) 34.3383 44.4949i 0.181684 0.235423i
\(190\) 128.526 + 153.757i 0.676454 + 0.809247i
\(191\) 217.171 1.13702 0.568509 0.822677i \(-0.307520\pi\)
0.568509 + 0.822677i \(0.307520\pi\)
\(192\) −23.1044 + 17.3186i −0.120336 + 0.0902011i
\(193\) −56.5065 −0.292780 −0.146390 0.989227i \(-0.546765\pi\)
−0.146390 + 0.989227i \(0.546765\pi\)
\(194\) −264.849 + 221.388i −1.36520 + 1.14118i
\(195\) 11.0315 + 4.56938i 0.0565716 + 0.0234327i
\(196\) −148.967 127.377i −0.760037 0.649880i
\(197\) −291.316 + 120.667i −1.47876 + 0.612524i −0.968838 0.247695i \(-0.920327\pi\)
−0.509925 + 0.860219i \(0.670327\pi\)
\(198\) −284.997 + 89.2713i −1.43938 + 0.450865i
\(199\) −58.9140 58.9140i −0.296050 0.296050i 0.543414 0.839465i \(-0.317131\pi\)
−0.839465 + 0.543414i \(0.817131\pi\)
\(200\) 31.4142 114.652i 0.157071 0.573260i
\(201\) 35.7737 35.7737i 0.177979 0.177979i
\(202\) 57.7794 110.486i 0.286037 0.546961i
\(203\) 119.182 15.3549i 0.587103 0.0756398i
\(204\) −19.2875 + 30.0259i −0.0945466 + 0.147186i
\(205\) 43.3420 + 17.9528i 0.211424 + 0.0875749i
\(206\) 29.0589 325.113i 0.141063 1.57822i
\(207\) 88.2859i 0.426502i
\(208\) 90.5716 97.3632i 0.435440 0.468092i
\(209\) −534.159 −2.55578
\(210\) 18.8685 + 6.96703i 0.0898498 + 0.0331764i
\(211\) 97.9489 + 40.5717i 0.464213 + 0.192283i 0.602516 0.798107i \(-0.294165\pi\)
−0.138303 + 0.990390i \(0.544165\pi\)
\(212\) 89.2775 19.4409i 0.421120 0.0917022i
\(213\) −26.1065 + 10.8137i −0.122566 + 0.0507684i
\(214\) −43.3698 + 82.9320i −0.202663 + 0.387533i
\(215\) 40.8983 40.8983i 0.190225 0.190225i
\(216\) 50.7387 + 39.3893i 0.234901 + 0.182358i
\(217\) 349.106 200.269i 1.60878 0.922900i
\(218\) 99.0873 + 316.335i 0.454529 + 1.45108i
\(219\) −4.66472 + 1.93219i −0.0213001 + 0.00882278i
\(220\) −123.357 177.588i −0.560715 0.807219i
\(221\) 62.8938 151.839i 0.284587 0.687054i
\(222\) 1.25232 + 1.49817i 0.00564110 + 0.00674850i
\(223\) 264.598i 1.18654i 0.805004 + 0.593270i \(0.202163\pi\)
−0.805004 + 0.593270i \(0.797837\pi\)
\(224\) 146.060 169.831i 0.652054 0.758173i
\(225\) −130.713 −0.580946
\(226\) −205.917 + 172.127i −0.911137 + 0.761624i
\(227\) 121.090 + 50.1573i 0.533438 + 0.220957i 0.633108 0.774063i \(-0.281779\pi\)
−0.0996703 + 0.995021i \(0.531779\pi\)
\(228\) 32.3961 + 46.6383i 0.142088 + 0.204554i
\(229\) 101.966 + 246.167i 0.445266 + 1.07497i 0.974075 + 0.226226i \(0.0726388\pi\)
−0.528809 + 0.848741i \(0.677361\pi\)
\(230\) 60.9979 19.1067i 0.265208 0.0830726i
\(231\) −46.5035 + 26.6774i −0.201314 + 0.115486i
\(232\) 17.1583 + 136.258i 0.0739584 + 0.587317i
\(233\) 52.0748 + 52.0748i 0.223497 + 0.223497i 0.809969 0.586472i \(-0.199484\pi\)
−0.586472 + 0.809969i \(0.699484\pi\)
\(234\) −129.568 67.7581i −0.553708 0.289565i
\(235\) −70.7120 170.714i −0.300902 0.726442i
\(236\) 292.249 63.6395i 1.23834 0.269659i
\(237\) 11.6227 28.0597i 0.0490409 0.118395i
\(238\) 95.8954 259.709i 0.402922 1.09121i
\(239\) 244.036i 1.02107i 0.859857 + 0.510535i \(0.170552\pi\)
−0.859857 + 0.510535i \(0.829448\pi\)
\(240\) −8.02404 + 21.5411i −0.0334335 + 0.0897544i
\(241\) −313.734 −1.30180 −0.650901 0.759163i \(-0.725609\pi\)
−0.650901 + 0.759163i \(0.725609\pi\)
\(242\) 333.021 + 29.7657i 1.37612 + 0.122999i
\(243\) 40.6969 98.2511i 0.167477 0.404326i
\(244\) −56.5610 + 88.0515i −0.231807 + 0.360867i
\(245\) −154.585 21.2233i −0.630957 0.0866256i
\(246\) 11.7799 + 6.16034i 0.0478856 + 0.0250421i
\(247\) −184.920 184.920i −0.748664 0.748664i
\(248\) 227.736 + 399.632i 0.918290 + 1.61142i
\(249\) −16.7445 + 16.7445i −0.0672469 + 0.0672469i
\(250\) −75.8815 242.251i −0.303526 0.969003i
\(251\) −176.009 424.923i −0.701230 1.69292i −0.720830 0.693112i \(-0.756239\pi\)
0.0196000 0.999808i \(1.50624\pi\)
\(252\) −222.540 105.545i −0.883096 0.418831i
\(253\) −65.2005 + 157.408i −0.257710 + 0.622166i
\(254\) −244.040 291.947i −0.960789 1.14940i
\(255\) 28.4102i 0.111413i
\(256\) 193.613 + 167.481i 0.756303 + 0.654222i
\(257\) 19.1148i 0.0743765i 0.999308 + 0.0371883i \(0.0118401\pi\)
−0.999308 + 0.0371883i \(0.988160\pi\)
\(258\) 12.5748 10.5113i 0.0487394 0.0407415i
\(259\) −11.9921 9.25473i −0.0463015 0.0357326i
\(260\) 18.7741 104.184i 0.0722083 0.400708i
\(261\) 139.511 57.7875i 0.534526 0.221408i
\(262\) −77.5674 247.633i −0.296059 0.945163i
\(263\) −152.437 + 152.437i −0.579608 + 0.579608i −0.934795 0.355187i \(-0.884417\pi\)
0.355187 + 0.934795i \(0.384417\pi\)
\(264\) −30.3361 53.2340i −0.114909 0.201644i
\(265\) 51.4342 51.4342i 0.194091 0.194091i
\(266\) −323.403 299.121i −1.21580 1.12452i
\(267\) 21.6226 + 52.2017i 0.0809837 + 0.195512i
\(268\) −377.388 242.420i −1.40816 0.904551i
\(269\) 70.0015 168.998i 0.260228 0.628247i −0.738724 0.674008i \(-0.764571\pi\)
0.998952 + 0.0457610i \(0.0145713\pi\)
\(270\) 50.9328 + 4.55243i 0.188640 + 0.0168609i
\(271\) −204.374 −0.754149 −0.377075 0.926183i \(-0.623070\pi\)
−0.377075 + 0.926183i \(0.623070\pi\)
\(272\) 296.495 + 110.444i 1.09005 + 0.406045i
\(273\) −25.3344 6.86360i −0.0928000 0.0251414i
\(274\) −10.8820 + 121.748i −0.0397153 + 0.444337i
\(275\) 233.052 + 96.5335i 0.847463 + 0.351031i
\(276\) 17.6979 3.85386i 0.0641228 0.0139632i
\(277\) 76.2401 + 184.060i 0.275235 + 0.664476i 0.999691 0.0248448i \(-0.00790917\pi\)
−0.724456 + 0.689321i \(0.757909\pi\)
\(278\) 62.0402 + 32.4443i 0.223166 + 0.116706i
\(279\) 357.626 357.626i 1.28181 1.28181i
\(280\) 24.7609 176.598i 0.0884319 0.630707i
\(281\) −120.070 + 120.070i −0.427294 + 0.427294i −0.887706 0.460411i \(-0.847702\pi\)
0.460411 + 0.887706i \(0.347702\pi\)
\(282\) −15.6510 49.9657i −0.0555001 0.177183i
\(283\) −63.8655 154.185i −0.225673 0.544823i 0.769969 0.638081i \(-0.220272\pi\)
−0.995642 + 0.0932585i \(0.970272\pi\)
\(284\) 142.925 + 205.758i 0.503257 + 0.724502i
\(285\) 41.7658 + 17.3000i 0.146547 + 0.0607016i
\(286\) 180.970 + 216.496i 0.632763 + 0.756979i
\(287\) −99.5375 26.9667i −0.346820 0.0939606i
\(288\) 121.351 253.985i 0.421358 0.881893i
\(289\) 102.043 0.353091
\(290\) 70.1190 + 83.8839i 0.241790 + 0.289255i
\(291\) −29.7994 + 71.9422i −0.102404 + 0.247224i
\(292\) 25.5379 + 36.7650i 0.0874586 + 0.125908i
\(293\) 202.858 + 489.743i 0.692349 + 1.67148i 0.739993 + 0.672614i \(0.234829\pi\)
−0.0476440 + 0.998864i \(0.515171\pi\)
\(294\) −43.0942 9.88966i −0.146579 0.0336383i
\(295\) 168.369 168.369i 0.570743 0.570743i
\(296\) 10.6160 13.6749i 0.0358650 0.0461990i
\(297\) −96.3792 + 96.3792i −0.324509 + 0.324509i
\(298\) 154.776 295.965i 0.519384 0.993170i
\(299\) −77.0646 + 31.9212i −0.257741 + 0.106760i
\(300\) −5.70587 26.2028i −0.0190196 0.0873428i
\(301\) −77.6790 + 100.655i −0.258070 + 0.334401i
\(302\) −27.0915 + 303.102i −0.0897071 + 1.00365i
\(303\) 28.1263i 0.0928260i
\(304\) 342.909 368.623i 1.12799 1.21258i
\(305\) 83.3136i 0.273159i
\(306\) 30.9719 346.515i 0.101215 1.13240i
\(307\) −109.186 + 263.598i −0.355654 + 0.858626i 0.640246 + 0.768170i \(0.278832\pi\)
−0.995900 + 0.0904557i \(0.971168\pi\)
\(308\) 318.828 + 352.530i 1.03515 + 1.14458i
\(309\) −28.1779 68.0275i −0.0911907 0.220154i
\(310\) 324.485 + 169.691i 1.04673 + 0.547392i
\(311\) −0.155564 + 0.155564i −0.000500204 + 0.000500204i −0.707357 0.706857i \(-0.750113\pi\)
0.706857 + 0.707357i \(0.250113\pi\)
\(312\) 7.92699 28.9310i 0.0254070 0.0927277i
\(313\) 270.868 + 270.868i 0.865393 + 0.865393i 0.991958 0.126565i \(-0.0403952\pi\)
−0.126565 + 0.991958i \(0.540395\pi\)
\(314\) −75.9768 242.555i −0.241964 0.772468i
\(315\) −194.471 + 25.0548i −0.617369 + 0.0795391i
\(316\) −265.003 47.7540i −0.838616 0.151120i
\(317\) 65.5485 158.248i 0.206777 0.499205i −0.786135 0.618055i \(-0.787921\pi\)
0.992912 + 0.118850i \(0.0379208\pi\)
\(318\) 15.8142 13.2191i 0.0497301 0.0415696i
\(319\) −291.417 −0.913532
\(320\) 201.744 + 28.8760i 0.630451 + 0.0902375i
\(321\) 21.1118i 0.0657690i
\(322\) −127.621 + 58.7903i −0.396340 + 0.182578i
\(323\) 238.120 574.872i 0.737212 1.77979i
\(324\) −297.392 53.5906i −0.917877 0.165403i
\(325\) 47.2613 + 114.099i 0.145420 + 0.351074i
\(326\) 144.722 45.3322i 0.443934 0.139056i
\(327\) 52.8766 + 52.8766i 0.161702 + 0.161702i
\(328\) 31.1447 113.668i 0.0949533 0.346550i
\(329\) 202.119 + 352.330i 0.614343 + 1.07091i
\(330\) −43.2238 22.6042i −0.130981 0.0684975i
\(331\) 169.665 + 409.607i 0.512582 + 1.23748i 0.942376 + 0.334556i \(0.108586\pi\)
−0.429793 + 0.902927i \(0.641414\pi\)
\(332\) 176.642 + 113.469i 0.532056 + 0.341773i
\(333\) −17.5865 7.28455i −0.0528122 0.0218755i
\(334\) 24.4757 273.835i 0.0732805 0.819866i
\(335\) −357.081 −1.06591
\(336\) 11.4434 49.2179i 0.0340579 0.146482i
\(337\) 345.375i 1.02485i 0.858731 + 0.512426i \(0.171253\pi\)
−0.858731 + 0.512426i \(0.828747\pi\)
\(338\) 17.7922 199.060i 0.0526395 0.588934i
\(339\) −23.1687 + 55.9343i −0.0683444 + 0.164998i
\(340\) 246.114 53.5934i 0.723866 0.157628i
\(341\) −901.736 + 373.511i −2.64439 + 1.09534i
\(342\) −490.551 256.536i −1.43436 0.750106i
\(343\) 342.988 + 2.85017i 0.999965 + 0.00830953i
\(344\) −114.779 89.1050i −0.333661 0.259026i
\(345\) 10.1960 10.1960i 0.0295537 0.0295537i
\(346\) −182.123 + 57.0475i −0.526368 + 0.164877i
\(347\) −268.661 + 111.283i −0.774240 + 0.320701i −0.734588 0.678513i \(-0.762625\pi\)
−0.0396513 + 0.999214i \(0.512625\pi\)
\(348\) 17.6741 + 25.4441i 0.0507876 + 0.0731151i
\(349\) −157.574 65.2692i −0.451501 0.187018i 0.145333 0.989383i \(-0.453575\pi\)
−0.596834 + 0.802365i \(0.703575\pi\)
\(350\) 87.0427 + 188.951i 0.248693 + 0.539861i
\(351\) −66.7308 −0.190116
\(352\) −403.933 + 363.219i −1.14754 + 1.03187i
\(353\) 18.2232i 0.0516237i −0.999667 0.0258118i \(-0.991783\pi\)
0.999667 0.0258118i \(-0.00821708\pi\)
\(354\) 51.7675 43.2727i 0.146236 0.122239i
\(355\) 184.262 + 76.3239i 0.519048 + 0.214997i
\(356\) 411.428 285.788i 1.15570 0.802776i
\(357\) −7.98012 61.9403i −0.0223533 0.173502i
\(358\) 111.743 + 356.738i 0.312131 + 0.996474i
\(359\) 203.575 203.575i 0.567062 0.567062i −0.364242 0.931304i \(-0.618672\pi\)
0.931304 + 0.364242i \(0.118672\pi\)
\(360\) −27.9976 222.334i −0.0777711 0.617594i
\(361\) −444.852 444.852i −1.23228 1.23228i
\(362\) −42.4809 22.2156i −0.117351 0.0613692i
\(363\) 69.6822 28.8633i 0.191962 0.0795133i
\(364\) −11.6675 + 232.417i −0.0320535 + 0.638507i
\(365\) 32.9240 + 13.6376i 0.0902028 + 0.0373632i
\(366\) −2.10173 + 23.5142i −0.00574243 + 0.0642465i
\(367\) −198.700 −0.541416 −0.270708 0.962661i \(-0.587258\pi\)
−0.270708 + 0.962661i \(0.587258\pi\)
\(368\) −66.7710 146.045i −0.181443 0.396861i
\(369\) −129.591 −0.351196
\(370\) 1.22695 13.7272i 0.00331609 0.0371006i
\(371\) −97.6900 + 126.585i −0.263315 + 0.341198i
\(372\) 87.3012 + 56.0790i 0.234681 + 0.150750i
\(373\) −28.5154 68.8424i −0.0764489 0.184564i 0.881035 0.473052i \(-0.156848\pi\)
−0.957484 + 0.288488i \(0.906848\pi\)
\(374\) −311.127 + 594.940i −0.831892 + 1.59075i
\(375\) −40.4932 40.4932i −0.107982 0.107982i
\(376\) −403.323 + 229.839i −1.07267 + 0.611274i
\(377\) −100.885 100.885i −0.267600 0.267600i
\(378\) −112.323 + 4.38120i −0.297151 + 0.0115905i
\(379\) 217.388 90.0450i 0.573582 0.237586i −0.0769874 0.997032i \(-0.524530\pi\)
0.650570 + 0.759446i \(0.274530\pi\)
\(380\) 71.0800 394.447i 0.187053 1.03802i
\(381\) −79.3032 32.8485i −0.208145 0.0862164i
\(382\) −278.564 333.248i −0.729225 0.872378i
\(383\) 220.607i 0.575996i −0.957631 0.287998i \(-0.907010\pi\)
0.957631 0.287998i \(-0.0929897\pi\)
\(384\) 56.2114 + 13.2392i 0.146384 + 0.0344772i
\(385\) 365.233 + 98.9490i 0.948657 + 0.257010i
\(386\) 72.4806 + 86.7092i 0.187774 + 0.224635i
\(387\) −61.1424 + 147.611i −0.157991 + 0.381423i
\(388\) 679.440 + 122.436i 1.75114 + 0.315558i
\(389\) 355.631 147.307i 0.914219 0.378682i 0.124549 0.992214i \(-0.460252\pi\)
0.789670 + 0.613532i \(0.210252\pi\)
\(390\) −7.13830 22.7889i −0.0183033 0.0584331i
\(391\) −140.340 140.340i −0.358926 0.358926i
\(392\) −4.37970 + 391.976i −0.0111727 + 0.999938i
\(393\) −41.3928 41.3928i −0.105325 0.105325i
\(394\) 558.834 + 292.246i 1.41836 + 0.741740i
\(395\) −198.048 + 82.0340i −0.501386 + 0.207681i
\(396\) 502.552 + 322.820i 1.26907 + 0.815203i
\(397\) 248.567 600.093i 0.626113 1.51157i −0.218302 0.975881i \(-0.570052\pi\)
0.844415 0.535689i \(-0.179948\pi\)
\(398\) −14.8348 + 165.972i −0.0372733 + 0.417016i
\(399\) −95.9176 25.9860i −0.240395 0.0651278i
\(400\) −216.228 + 98.8586i −0.540571 + 0.247146i
\(401\) 115.451i 0.287908i 0.989584 + 0.143954i \(0.0459817\pi\)
−0.989584 + 0.143954i \(0.954018\pi\)
\(402\) −100.782 9.00797i −0.250701 0.0224079i
\(403\) −441.476 182.866i −1.09548 0.453761i
\(404\) −243.655 + 53.0577i −0.603105 + 0.131331i
\(405\) −222.254 + 92.0605i −0.548775 + 0.227310i
\(406\) −176.436 163.189i −0.434572 0.401943i
\(407\) 25.9757 + 25.9757i 0.0638225 + 0.0638225i
\(408\) 70.8147 8.91740i 0.173565 0.0218564i
\(409\) 328.607 + 328.607i 0.803441 + 0.803441i 0.983632 0.180191i \(-0.0576715\pi\)
−0.180191 + 0.983632i \(0.557672\pi\)
\(410\) −28.0460 89.5364i −0.0684048 0.218381i
\(411\) 10.5521 + 25.4750i 0.0256742 + 0.0619829i
\(412\) −536.159 + 372.430i −1.30136 + 0.903956i
\(413\) −319.788 + 414.374i −0.774304 + 1.00333i
\(414\) −135.475 + 113.244i −0.327234 + 0.273536i
\(415\) 167.138 0.402741
\(416\) −265.580 14.0947i −0.638413 0.0338816i
\(417\) 15.7935 0.0378740
\(418\) 685.164 + 819.667i 1.63915 + 1.96093i
\(419\) −11.1791 4.63052i −0.0266803 0.0110514i 0.369303 0.929309i \(-0.379596\pi\)
−0.395984 + 0.918258i \(0.629596\pi\)
\(420\) −13.5116 37.8902i −0.0321704 0.0902148i
\(421\) −489.293 + 202.672i −1.16222 + 0.481406i −0.878613 0.477535i \(-0.841530\pi\)
−0.283604 + 0.958941i \(0.591530\pi\)
\(422\) −63.3813 202.344i −0.150193 0.479488i
\(423\) 360.928 + 360.928i 0.853259 + 0.853259i
\(424\) −144.348 112.060i −0.340443 0.264291i
\(425\) −207.782 + 207.782i −0.488899 + 0.488899i
\(426\) 50.0803 + 26.1898i 0.117559 + 0.0614784i
\(427\) −23.4019 181.641i −0.0548053 0.425389i
\(428\) 182.889 39.8256i 0.427312 0.0930505i
\(429\) 58.8079 + 24.3590i 0.137081 + 0.0567810i
\(430\) −115.218 10.2984i −0.267950 0.0239497i
\(431\) 597.095i 1.38537i 0.721240 + 0.692685i \(0.243572\pi\)
−0.721240 + 0.692685i \(0.756428\pi\)
\(432\) −4.63951 128.383i −0.0107396 0.297183i
\(433\) 840.803 1.94181 0.970904 0.239467i \(-0.0769728\pi\)
0.970904 + 0.239467i \(0.0769728\pi\)
\(434\) −755.111 278.819i −1.73989 0.642440i
\(435\) 22.7858 + 9.43820i 0.0523812 + 0.0216970i
\(436\) 358.317 557.811i 0.821828 1.27938i
\(437\) −291.771 + 120.856i −0.667669 + 0.276557i
\(438\) 8.94836 + 4.67960i 0.0204300 + 0.0106840i
\(439\) 67.9440 67.9440i 0.154770 0.154770i −0.625475 0.780245i \(-0.715095\pi\)
0.780245 + 0.625475i \(0.215095\pi\)
\(440\) −114.279 + 417.084i −0.259726 + 0.947917i
\(441\) 416.951 109.250i 0.945466 0.247732i
\(442\) −313.671 + 98.2528i −0.709662 + 0.222291i
\(443\) 268.126 111.062i 0.605252 0.250703i −0.0589452 0.998261i \(-0.518774\pi\)
0.664197 + 0.747558i \(0.268774\pi\)
\(444\) 0.692585 3.84338i 0.00155988 0.00865627i
\(445\) 152.615 368.444i 0.342954 0.827965i
\(446\) 406.026 339.399i 0.910372 0.760985i
\(447\) 75.3432i 0.168553i
\(448\) −447.956 6.28804i −0.999901 0.0140358i
\(449\) −518.670 −1.15517 −0.577583 0.816332i \(-0.696004\pi\)
−0.577583 + 0.816332i \(0.696004\pi\)
\(450\) 167.665 + 200.579i 0.372588 + 0.445731i
\(451\) 231.053 + 95.7053i 0.512313 + 0.212207i
\(452\) 528.258 + 95.1930i 1.16871 + 0.210604i
\(453\) 26.2702 + 63.4219i 0.0579916 + 0.140004i
\(454\) −78.3558 250.150i −0.172590 0.550991i
\(455\) 92.1846 + 160.695i 0.202603 + 0.353175i
\(456\) 30.0121 109.535i 0.0658159 0.240208i
\(457\) −40.5067 40.5067i −0.0886361 0.0886361i 0.661399 0.750035i \(-0.269963\pi\)
−0.750035 + 0.661399i \(0.769963\pi\)
\(458\) 246.953 472.225i 0.539198 1.03106i
\(459\) −60.7607 146.689i −0.132376 0.319585i
\(460\) −107.561 69.0932i −0.233828 0.150203i
\(461\) −14.6592 + 35.3905i −0.0317988 + 0.0767690i −0.938981 0.343969i \(-0.888229\pi\)
0.907182 + 0.420738i \(0.138229\pi\)
\(462\) 100.586 + 37.1407i 0.217719 + 0.0803912i
\(463\) 153.180i 0.330843i −0.986223 0.165422i \(-0.947101\pi\)
0.986223 0.165422i \(-0.0528985\pi\)
\(464\) 187.078 201.107i 0.403186 0.433419i
\(465\) 82.6036 0.177642
\(466\) 13.1127 146.705i 0.0281387 0.314818i
\(467\) −76.7130 + 185.202i −0.164268 + 0.396577i −0.984484 0.175477i \(-0.943853\pi\)
0.820216 + 0.572054i \(0.193853\pi\)
\(468\) 62.2210 + 285.735i 0.132951 + 0.610544i
\(469\) 778.512 100.300i 1.65994 0.213859i
\(470\) −171.258 + 327.482i −0.364380 + 0.696770i
\(471\) −40.5440 40.5440i −0.0860807 0.0860807i
\(472\) −472.521 366.826i −1.00110 0.777174i
\(473\) 218.026 218.026i 0.460942 0.460942i
\(474\) −57.9659 + 18.1570i −0.122291 + 0.0383059i
\(475\) 178.934 + 431.986i 0.376704 + 0.909443i
\(476\) −521.527 + 185.976i −1.09565 + 0.390705i
\(477\) −76.8934 + 185.637i −0.161202 + 0.389176i
\(478\) 374.473 313.023i 0.783415 0.654861i
\(479\) 228.451i 0.476934i −0.971151 0.238467i \(-0.923355\pi\)
0.971151 0.238467i \(-0.0766449\pi\)
\(480\) 43.3472 15.3177i 0.0903066 0.0319120i
\(481\) 17.9850i 0.0373909i
\(482\) 402.426 + 481.425i 0.834908 + 0.998807i
\(483\) −19.3656 + 25.0935i −0.0400943 + 0.0519533i
\(484\) −381.489 549.200i −0.788200 1.13471i
\(485\) 507.775 210.327i 1.04696 0.433664i
\(486\) −202.968 + 63.5769i −0.417630 + 0.130817i
\(487\) −157.734 + 157.734i −0.323888 + 0.323888i −0.850257 0.526368i \(-0.823553\pi\)
0.526368 + 0.850257i \(0.323553\pi\)
\(488\) 207.666 26.1505i 0.425545 0.0535871i
\(489\) 24.1909 24.1909i 0.0494702 0.0494702i
\(490\) 165.718 + 264.433i 0.338200 + 0.539659i
\(491\) −154.419 372.800i −0.314499 0.759267i −0.999527 0.0307504i \(-0.990210\pi\)
0.685029 0.728516i \(-0.259790\pi\)
\(492\) −5.65692 25.9780i −0.0114978 0.0528009i
\(493\) 129.909 313.628i 0.263507 0.636162i
\(494\) −46.5636 + 520.956i −0.0942583 + 1.05457i
\(495\) 475.510 0.960626
\(496\) 321.120 862.068i 0.647419 1.73804i
\(497\) −423.169 114.645i −0.851446 0.230674i
\(498\) 47.1725 + 4.21633i 0.0947239 + 0.00846653i
\(499\) 861.522 + 356.854i 1.72650 + 0.715138i 0.999597 + 0.0283945i \(0.00903946\pi\)
0.726900 + 0.686744i \(0.240961\pi\)
\(500\) −274.401 + 427.174i −0.548801 + 0.854348i
\(501\) −23.7336 57.2981i −0.0473725 0.114367i
\(502\) −426.278 + 815.132i −0.849160 + 1.62377i
\(503\) 251.108 251.108i 0.499221 0.499221i −0.411974 0.911195i \(-0.635161\pi\)
0.911195 + 0.411974i \(0.135161\pi\)
\(504\) 123.492 + 476.871i 0.245023 + 0.946172i
\(505\) −140.373 + 140.373i −0.277967 + 0.277967i
\(506\) 325.175 101.856i 0.642639 0.201297i
\(507\) −17.2527 41.6518i −0.0340291 0.0821535i
\(508\) −134.964 + 748.960i −0.265677 + 1.47433i
\(509\) 338.212 + 140.092i 0.664464 + 0.275230i 0.689315 0.724461i \(-0.257911\pi\)
−0.0248518 + 0.999691i \(0.507911\pi\)
\(510\) 43.5955 36.4417i 0.0854814 0.0714543i
\(511\) −75.6119 20.4848i −0.147969 0.0400876i
\(512\) 8.65218 511.927i 0.0168988 0.999857i
\(513\) −252.647 −0.492489
\(514\) 29.3316 24.5184i 0.0570654 0.0477013i
\(515\) −198.882 + 480.145i −0.386179 + 0.932319i
\(516\) −32.2592 5.81316i −0.0625178 0.0112658i
\(517\) −376.961 910.063i −0.729131 1.76028i
\(518\) 1.18080 + 30.2729i 0.00227955 + 0.0584418i
\(519\) −30.4426 + 30.4426i −0.0586563 + 0.0586563i
\(520\) −183.952 + 104.828i −0.353754 + 0.201591i
\(521\) 550.180 550.180i 1.05601 1.05601i 0.0576712 0.998336i \(-0.481632\pi\)
0.998336 0.0576712i \(-0.0183675\pi\)
\(522\) −267.626 139.956i −0.512693 0.268116i
\(523\) −353.525 + 146.435i −0.675957 + 0.279990i −0.694135 0.719844i \(-0.744213\pi\)
0.0181789 + 0.999835i \(0.494213\pi\)
\(524\) −280.497 + 436.665i −0.535300 + 0.833329i
\(525\) 37.1524 + 28.6719i 0.0707666 + 0.0546132i
\(526\) 429.445 + 38.3842i 0.816434 + 0.0729738i
\(527\) 1136.97i 2.15744i
\(528\) −42.7755 + 114.834i −0.0810143 + 0.217488i
\(529\) 428.268i 0.809580i
\(530\) −144.900 12.9513i −0.273397 0.0244365i
\(531\) −251.710 + 607.681i −0.474030 + 1.14441i
\(532\) −44.1737 + 879.943i −0.0830333 + 1.65403i
\(533\) 46.8559 + 113.120i 0.0879097 + 0.212233i
\(534\) 52.3682 100.139i 0.0980678 0.187526i
\(535\) 105.366 105.366i 0.196945 0.196945i
\(536\) 112.081 + 890.052i 0.209106 + 1.66055i
\(537\) 59.6301 + 59.6301i 0.111043 + 0.111043i
\(538\) −349.119 + 109.356i −0.648920 + 0.203265i
\(539\) −824.078 113.140i −1.52890 0.209907i
\(540\) −58.3456 83.9958i −0.108047 0.155548i
\(541\) 34.0581 82.2236i 0.0629540 0.151984i −0.889272 0.457379i \(-0.848788\pi\)
0.952226 + 0.305394i \(0.0987883\pi\)
\(542\) 262.150 + 313.613i 0.483672 + 0.578621i
\(543\) −10.8143 −0.0199158
\(544\) −210.836 596.638i −0.387566 1.09676i
\(545\) 527.796i 0.968433i
\(546\) 21.9642 + 47.6796i 0.0402274 + 0.0873252i
\(547\) −143.552 + 346.565i −0.262435 + 0.633575i −0.999088 0.0426963i \(-0.986405\pi\)
0.736653 + 0.676271i \(0.236405\pi\)
\(548\) 200.781 139.468i 0.366389 0.254503i
\(549\) −88.0721 212.625i −0.160423 0.387295i
\(550\) −150.805 481.442i −0.274191 0.875349i
\(551\) −381.957 381.957i −0.693208 0.693208i
\(552\) −28.6148 22.2141i −0.0518383 0.0402429i
\(553\) 408.743 234.481i 0.739138 0.424016i
\(554\) 184.647 353.083i 0.333298 0.637334i
\(555\) −1.18975 2.87232i −0.00214370 0.00517536i
\(556\) −29.7930 136.817i −0.0535845 0.246074i
\(557\) 415.022 + 171.908i 0.745102 + 0.308631i 0.722741 0.691119i \(-0.242882\pi\)
0.0223608 + 0.999750i \(0.492882\pi\)
\(558\) −1007.50 90.0517i −1.80556 0.161383i
\(559\) 150.956 0.270047
\(560\) −302.750 + 188.526i −0.540625 + 0.336653i
\(561\) 151.453i 0.269969i
\(562\) 338.260 + 30.2340i 0.601886 + 0.0537972i
\(563\) −67.5958 + 163.191i −0.120064 + 0.289859i −0.972473 0.233016i \(-0.925141\pi\)
0.852409 + 0.522875i \(0.175141\pi\)
\(564\) −56.5969 + 88.1073i −0.100349 + 0.156219i
\(565\) 394.789 163.527i 0.698742 0.289429i
\(566\) −154.677 + 295.774i −0.273280 + 0.522569i
\(567\) 458.701 263.140i 0.808997 0.464091i
\(568\) 132.407 483.244i 0.233111 0.850782i
\(569\) −179.397 + 179.397i −0.315285 + 0.315285i −0.846953 0.531668i \(-0.821566\pi\)
0.531668 + 0.846953i \(0.321566\pi\)
\(570\) −27.0260 86.2802i −0.0474141 0.151369i
\(571\) 157.672 65.3101i 0.276134 0.114378i −0.240319 0.970694i \(-0.577252\pi\)
0.516453 + 0.856316i \(0.327252\pi\)
\(572\) 100.084 555.397i 0.174971 0.970974i
\(573\) −90.5220 37.4954i −0.157979 0.0654370i
\(574\) 86.2959 + 187.330i 0.150341 + 0.326360i
\(575\) 149.140 0.259374
\(576\) −545.397 + 139.572i −0.946870 + 0.242313i
\(577\) 548.238i 0.950153i −0.879944 0.475077i \(-0.842420\pi\)
0.879944 0.475077i \(-0.157580\pi\)
\(578\) −130.890 156.585i −0.226454 0.270909i
\(579\) 23.5533 + 9.75608i 0.0406792 + 0.0168499i
\(580\) 38.7785 215.195i 0.0668596 0.371026i
\(581\) −364.395 + 46.9471i −0.627186 + 0.0808039i
\(582\) 148.619 46.5527i 0.255359 0.0799875i
\(583\) 274.192 274.192i 0.470312 0.470312i
\(584\) 23.6585 86.3462i 0.0405112 0.147853i
\(585\) 164.616 + 164.616i 0.281395 + 0.281395i
\(586\) 491.306 939.478i 0.838405 1.60320i
\(587\) 663.354 274.770i 1.13008 0.468092i 0.262269 0.964995i \(-0.415529\pi\)
0.867806 + 0.496902i \(0.165529\pi\)
\(588\) 40.1010 + 78.8134i 0.0681990 + 0.134036i
\(589\) −1671.46 692.340i −2.83779 1.17545i
\(590\) −474.329 42.3961i −0.803948 0.0718578i
\(591\) 142.261 0.240713
\(592\) −34.6013 + 1.25042i −0.0584481 + 0.00211220i
\(593\) 261.540 0.441045 0.220523 0.975382i \(-0.429224\pi\)
0.220523 + 0.975382i \(0.429224\pi\)
\(594\) 271.519 + 24.2687i 0.457103 + 0.0408564i
\(595\) −269.306 + 348.960i −0.452615 + 0.586488i
\(596\) −652.689 + 142.128i −1.09512 + 0.238470i
\(597\) 14.3850 + 34.7285i 0.0240955 + 0.0581717i
\(598\) 147.834 + 77.3105i 0.247213 + 0.129282i
\(599\) −625.963 625.963i −1.04501 1.04501i −0.998938 0.0460754i \(-0.985329\pi\)
−0.0460754 0.998938i \(-0.514671\pi\)
\(600\) −32.8893 + 42.3659i −0.0548156 + 0.0706099i
\(601\) 421.150 + 421.150i 0.700750 + 0.700750i 0.964571 0.263822i \(-0.0849831\pi\)
−0.263822 + 0.964571i \(0.584983\pi\)
\(602\) 254.093 9.91101i 0.422082 0.0164635i
\(603\) 911.307 377.476i 1.51129 0.625996i
\(604\) 499.860 347.215i 0.827582 0.574860i
\(605\) −491.823 203.720i −0.812931 0.336727i
\(606\) −43.1598 + 36.0775i −0.0712207 + 0.0595338i
\(607\) 151.774i 0.250040i −0.992154 0.125020i \(-0.960101\pi\)
0.992154 0.125020i \(-0.0398995\pi\)
\(608\) −1005.50 53.3636i −1.65378 0.0877690i
\(609\) −52.3290 14.1770i −0.0859261 0.0232791i
\(610\) 127.845 106.866i 0.209582 0.175190i
\(611\) 184.554 445.553i 0.302053 0.729220i
\(612\) −571.455 + 396.947i −0.933749 + 0.648606i
\(613\) −529.658 + 219.391i −0.864042 + 0.357898i −0.770287 0.637697i \(-0.779887\pi\)
−0.0937550 + 0.995595i \(0.529887\pi\)
\(614\) 544.544 170.570i 0.886879 0.277802i
\(615\) −14.9664 14.9664i −0.0243355 0.0243355i
\(616\) 131.999 941.430i 0.214284 1.52830i
\(617\) −540.686 540.686i −0.876315 0.876315i 0.116837 0.993151i \(-0.462725\pi\)
−0.993151 + 0.116837i \(0.962725\pi\)
\(618\) −68.2445 + 130.498i −0.110428 + 0.211161i
\(619\) −817.724 + 338.712i −1.32104 + 0.547193i −0.928086 0.372366i \(-0.878547\pi\)
−0.392954 + 0.919558i \(0.628547\pi\)
\(620\) −155.824 715.585i −0.251330 1.15417i
\(621\) −30.8386 + 74.4510i −0.0496596 + 0.119889i
\(622\) 0.438253 + 0.0391715i 0.000704587 + 6.29768e-5i
\(623\) −229.240 + 846.154i −0.367962 + 1.35819i
\(624\) −54.5626 + 24.9458i −0.0874401 + 0.0399772i
\(625\) 32.6953i 0.0523126i
\(626\) 68.2057 763.089i 0.108955 1.21899i
\(627\) 222.650 + 92.2248i 0.355104 + 0.147089i
\(628\) −274.745 + 427.711i −0.437492 + 0.681068i
\(629\) −39.5351 + 16.3760i −0.0628539 + 0.0260350i
\(630\) 287.894 + 266.278i 0.456975 + 0.422664i
\(631\) 430.117 + 430.117i 0.681643 + 0.681643i 0.960370 0.278727i \(-0.0899125\pi\)
−0.278727 + 0.960370i \(0.589913\pi\)
\(632\) 266.639 + 467.900i 0.421898 + 0.740349i
\(633\) −33.8226 33.8226i −0.0534322 0.0534322i
\(634\) −326.910 + 102.400i −0.515631 + 0.161514i
\(635\) 231.847 + 559.729i 0.365114 + 0.881463i
\(636\) −40.5695 7.31071i −0.0637886 0.0114948i
\(637\) −246.119 324.455i −0.386372 0.509348i
\(638\) 373.799 + 447.179i 0.585892 + 0.700907i
\(639\) −550.939 −0.862189
\(640\) −214.466 346.616i −0.335104 0.541587i
\(641\) 1086.70 1.69532 0.847662 0.530536i \(-0.178009\pi\)
0.847662 + 0.530536i \(0.178009\pi\)
\(642\) 32.3961 27.0801i 0.0504613 0.0421808i
\(643\) −56.2399 23.2953i −0.0874648 0.0362291i 0.338522 0.940958i \(-0.390073\pi\)
−0.425987 + 0.904729i \(0.640073\pi\)
\(644\) 253.913 + 120.425i 0.394275 + 0.186995i
\(645\) −24.1087 + 9.98613i −0.0373778 + 0.0154824i
\(646\) −1187.58 + 371.991i −1.83835 + 0.575837i
\(647\) 116.790 + 116.790i 0.180510 + 0.180510i 0.791578 0.611068i \(-0.209260\pi\)
−0.611068 + 0.791578i \(0.709260\pi\)
\(648\) 299.229 + 525.089i 0.461773 + 0.810322i
\(649\) 897.564 897.564i 1.38300 1.38300i
\(650\) 114.463 218.877i 0.176097 0.336734i
\(651\) −180.093 + 23.2024i −0.276641 + 0.0356412i
\(652\) −255.197 163.929i −0.391406 0.251425i
\(653\) 218.532 + 90.5190i 0.334659 + 0.138620i 0.543684 0.839290i \(-0.317029\pi\)
−0.209025 + 0.977910i \(0.567029\pi\)
\(654\) 13.3145 148.964i 0.0203586 0.227773i
\(655\) 413.168i 0.630791i
\(656\) −214.373 + 98.0105i −0.326789 + 0.149406i
\(657\) −98.4419 −0.149835
\(658\) 281.394 762.084i 0.427650 1.15818i
\(659\) 222.779 + 92.2781i 0.338056 + 0.140028i 0.545252 0.838272i \(-0.316434\pi\)
−0.207196 + 0.978299i \(0.566434\pi\)
\(660\) 20.7570 + 95.3212i 0.0314499 + 0.144426i
\(661\) −34.7440 + 14.3914i −0.0525627 + 0.0217722i −0.408810 0.912620i \(-0.634056\pi\)
0.356247 + 0.934392i \(0.384056\pi\)
\(662\) 410.914 785.752i 0.620716 1.18694i
\(663\) −52.4313 + 52.4313i −0.0790819 + 0.0790819i
\(664\) −52.4612 416.604i −0.0790078 0.627415i
\(665\) 349.016 + 608.400i 0.524837 + 0.914887i
\(666\) 11.3799 + 36.3303i 0.0170870 + 0.0545500i
\(667\) −159.179 + 65.9342i −0.238650 + 0.0988519i
\(668\) −451.595 + 313.689i −0.676041 + 0.469595i
\(669\) 45.6840 110.291i 0.0682870 0.164859i
\(670\) 458.026 + 547.941i 0.683621 + 0.817822i
\(671\) 444.139i 0.661906i
\(672\) −90.2033 + 45.5716i −0.134231 + 0.0678149i
\(673\) 893.355 1.32742 0.663711 0.747989i \(-0.268980\pi\)
0.663711 + 0.747989i \(0.268980\pi\)
\(674\) 529.978 443.011i 0.786318 0.657287i
\(675\) 110.229 + 45.6585i 0.163303 + 0.0676422i
\(676\) −328.279 + 228.031i −0.485620 + 0.337324i
\(677\) −317.993 767.703i −0.469709 1.13398i −0.964290 0.264847i \(-0.914679\pi\)
0.494581 0.869131i \(1.66468\pi\)
\(678\) 115.550 36.1943i 0.170427 0.0533839i
\(679\) −1047.98 + 601.186i −1.54341 + 0.885398i
\(680\) −397.929 308.919i −0.585190 0.454292i
\(681\) −41.8135 41.8135i −0.0614002 0.0614002i
\(682\) 1729.81 + 904.613i 2.53637 + 1.32641i
\(683\) 426.351 + 1029.30i 0.624233 + 1.50703i 0.846688 + 0.532089i \(0.178593\pi\)
−0.222455 + 0.974943i \(0.571407\pi\)
\(684\) 235.572 + 1081.81i 0.344404 + 1.58159i
\(685\) 74.4776 179.805i 0.108726 0.262489i
\(686\) −435.576 529.971i −0.634950 0.772553i
\(687\) 120.213i 0.174983i
\(688\) 10.4953 + 290.424i 0.0152548 + 0.422127i
\(689\) 189.844 0.275536
\(690\) −28.7242 2.56740i −0.0416293 0.00372088i
\(691\) −253.734 + 612.568i −0.367198 + 0.886495i 0.627009 + 0.779012i \(0.284279\pi\)
−0.994207 + 0.107483i \(0.965721\pi\)
\(692\) 321.148 + 206.294i 0.464087 + 0.298112i
\(693\) −1036.71 + 133.565i −1.49598 + 0.192735i
\(694\) 515.375 + 269.518i 0.742615 + 0.388355i
\(695\) −78.8224 78.8224i −0.113414 0.113414i
\(696\) 16.3734 59.7579i 0.0235250 0.0858590i
\(697\) −206.000 + 206.000i −0.295552 + 0.295552i
\(698\) 101.964 + 325.518i 0.146080 + 0.466358i
\(699\) −12.7151 30.6970i −0.0181904 0.0439156i
\(700\) 178.297 375.934i 0.254710 0.537049i
\(701\) −383.071 + 924.815i −0.546463 + 1.31928i 0.373629 + 0.927578i \(0.378113\pi\)
−0.920093 + 0.391701i \(0.871887\pi\)
\(702\) 85.5954 + 102.398i 0.121931 + 0.145867i
\(703\) 68.0924i 0.0968597i
\(704\) 1075.48 + 153.936i 1.52768 + 0.218659i
\(705\) 83.3664i 0.118250i
\(706\) −27.9634 + 23.3748i −0.0396083 + 0.0331087i
\(707\) 266.614 345.473i 0.377106 0.488646i
\(708\) −132.804 23.9315i −0.187576 0.0338016i
\(709\) 883.111 365.797i 1.24557 0.515933i 0.340121 0.940382i \(-0.389532\pi\)
0.905452 + 0.424449i \(0.139532\pi\)
\(710\) −119.233 380.651i −0.167934 0.536127i
\(711\) 418.718 418.718i 0.588915 0.588915i
\(712\) −966.279 264.757i −1.35713 0.371849i
\(713\) −408.043 + 408.043i −0.572290 + 0.572290i
\(714\) −84.8113 + 91.6960i −0.118783 + 0.128426i
\(715\) −171.928 415.072i −0.240459 0.580520i
\(716\) 404.082 629.056i 0.564360 0.878569i
\(717\) 42.1338 101.720i 0.0587640 0.141869i
\(718\) −573.511 51.2611i −0.798762 0.0713942i
\(719\) −349.176 −0.485641 −0.242821 0.970071i \(-0.578073\pi\)
−0.242821 + 0.970071i \(0.578073\pi\)
\(720\) −305.259 + 328.149i −0.423971 + 0.455763i
\(721\) 298.738 1102.68i 0.414339 1.52938i
\(722\) −112.016 + 1253.24i −0.155146 + 1.73578i
\(723\) 130.772 + 54.1675i 0.180874 + 0.0749205i
\(724\) 20.4002 + 93.6828i 0.0281770 + 0.129396i
\(725\) 97.6197 + 235.675i 0.134648 + 0.325069i
\(726\) −133.672 69.9045i −0.184121 0.0962872i
\(727\) −420.573 + 420.573i −0.578505 + 0.578505i −0.934491 0.355986i \(-0.884145\pi\)
0.355986 + 0.934491i \(0.384145\pi\)
\(728\) 371.609 280.216i 0.510452 0.384912i
\(729\) 446.842 446.842i 0.612952 0.612952i
\(730\) −21.3046 68.0147i −0.0291844 0.0931709i
\(731\) 137.451 + 331.836i 0.188031 + 0.453947i
\(732\) 38.7785 26.9365i 0.0529761 0.0367985i
\(733\) −754.353 312.463i −1.02913 0.426280i −0.196732 0.980457i \(-0.563033\pi\)
−0.832399 + 0.554177i \(0.813033\pi\)
\(734\) 254.871 + 304.905i 0.347236 + 0.415402i
\(735\) 60.7703 + 35.5360i 0.0826806 + 0.0483484i
\(736\) −138.459 + 289.791i −0.188123 + 0.393738i
\(737\) −1903.57 −2.58287
\(738\) 166.226 + 198.858i 0.225239 + 0.269455i
\(739\) −13.8331 + 33.3960i −0.0187186 + 0.0451908i −0.932962 0.359974i \(-0.882786\pi\)
0.914244 + 0.405164i \(0.132786\pi\)
\(740\) −22.6382 + 15.7251i −0.0305922 + 0.0212501i
\(741\) 45.1519 + 109.006i 0.0609337 + 0.147107i
\(742\) 319.551 12.4642i 0.430661 0.0167981i
\(743\) 48.0077 48.0077i 0.0646134 0.0646134i −0.674062 0.738675i \(-0.735452\pi\)
0.738675 + 0.674062i \(0.235452\pi\)
\(744\) −25.9276 205.896i −0.0348490 0.276742i
\(745\) −376.025 + 376.025i −0.504731 + 0.504731i
\(746\) −69.0620 + 132.061i −0.0925764 + 0.177025i
\(747\) −426.552 + 176.684i −0.571020 + 0.236524i
\(748\) 1312.02 285.702i 1.75403 0.381955i
\(749\) −200.123 + 259.315i −0.267187 + 0.346215i
\(750\) −10.1963 + 114.077i −0.0135951 + 0.152103i
\(751\) 798.416i 1.06314i −0.847015 0.531569i \(-0.821603\pi\)
0.847015 0.531569i \(-0.178397\pi\)
\(752\) 870.028 + 324.085i 1.15695 + 0.430964i
\(753\) 207.507i 0.275573i
\(754\) −25.4033 + 284.213i −0.0336914 + 0.376941i
\(755\) 185.417 447.637i 0.245586 0.592897i
\(756\) 150.799 + 166.740i 0.199470 + 0.220555i
\(757\) 168.773