Properties

Label 224.3.v.b.13.20
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 13.20
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28270 - 1.53450i) q^{2} +(0.416824 + 0.172654i) q^{3} +(-0.709381 + 3.93659i) q^{4} +(-1.21861 - 2.94198i) q^{5} +(-0.269721 - 0.861080i) q^{6} +(6.07185 + 3.48320i) q^{7} +(6.95063 - 3.96091i) q^{8} +(-6.22003 - 6.22003i) q^{9} +O(q^{10})\) \(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} +(6.07185 + 3.48320i) 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} +(-2.44337 - 13.7851i) 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} +(1.92951 + 2.50021i) 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} +(-18.0192 + 21.4315i) 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} +(2.84829 - 22.1079i) 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} +(1.36160 - 6.16784i) 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} +(55.9998 + 0.160346i) 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} +(-37.5781 + 23.9871i) 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} +(-15.1840 + 117.856i) 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} +(-11.2111 + 5.82208i) 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} +(46.0569 - 35.5438i) 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} +(33.1805 - 92.2120i) 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 0.451071 0.892488i \(-0.351042\pi\)
−0.312129 + 0.950040i \(0.601042\pi\)
\(4\) −0.709381 + 3.93659i −0.177345 + 0.984149i
\(5\) −1.21861 2.94198i −0.243722 0.588397i 0.753925 0.656961i \(-0.228158\pi\)
−0.997647 + 0.0685640i \(0.978158\pi\)
\(6\) −0.269721 0.861080i −0.0449535 0.143513i
\(7\) 6.07185 + 3.48320i 0.867407 + 0.497599i
\(8\) 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 −0.753080 0.657929i \(-0.771433\pi\)
0.997734 + 0.0672823i \(0.0214328\pi\)
\(14\) −2.44337 13.7851i −0.174527 0.984652i
\(15\) 1.43669i 0.0957792i
\(16\) −14.9936 5.58509i −0.937097 0.349068i
\(17\) 19.7748 1.16322 0.581612 0.813466i \(-0.302422\pi\)
0.581612 + 0.813466i \(0.302422\pi\)
\(18\) −1.56623 + 17.5230i −0.0870127 + 0.973502i
\(19\) 12.0416 29.0709i 0.633766 1.53005i −0.201086 0.979574i \(-0.564447\pi\)
0.834853 0.550474i \(-0.185553\pi\)
\(20\) 12.4459 2.71018i 0.622293 0.135509i
\(21\) 1.92951 + 2.50021i 0.0918812 + 0.119058i
\(22\) 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
\(28\) −18.0192 + 21.4315i −0.643542 + 0.765411i
\(29\) −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 \(-0.622079\pi\)
0.374188 0.927353i \(-0.377921\pi\)
\(32\) 10.6618 + 30.1716i 0.333183 + 0.942862i
\(33\) 7.65888i 0.232087i
\(34\) −25.3651 30.3445i −0.746032 0.892484i
\(35\) 2.84829 22.1079i 0.0813797 0.631655i
\(36\) 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 −0.822641 0.568561i \(-0.807500\pi\)
0.568561 + 0.822641i \(0.307500\pi\)
\(42\) 1.36160 6.16784i 0.0324192 0.146853i
\(43\) −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 \(-0.288224\pi\)
0.617307 + 0.786723i \(0.288224\pi\)
\(48\) −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
\(56\) 55.9998 + 0.160346i 0.999996 + 0.00286332i
\(57\) 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 \(0.0934571\pi\)
−0.472208 + 0.881487i \(0.656543\pi\)
\(60\) 5.65566 + 1.01916i 0.0942610 + 0.0169860i
\(61\) −24.1717 10.0122i −0.396257 0.164135i 0.175652 0.984452i \(-0.443797\pi\)
−0.571908 + 0.820317i \(0.693797\pi\)
\(62\) −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
\(70\) −37.5781 + 23.9871i −0.536830 + 0.342672i
\(71\) 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 −0.759227 0.650826i \(-0.774423\pi\)
0.650826 + 0.759227i \(0.274423\pi\)
\(74\) −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
\(77\) −15.1840 + 117.856i −0.197195 + 1.53059i
\(78\) −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 −0.997481 0.0709340i \(-0.977402\pi\)
0.755484 + 0.655168i \(0.227402\pi\)
\(84\) −11.2111 + 5.82208i −0.133465 + 0.0693104i
\(85\) −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 0.999988 0.00497939i \(-0.00158500\pi\)
−0.00497939 + 0.999988i \(0.501585\pi\)
\(90\) 53.4611 16.7459i 0.594012 0.186066i
\(91\) 46.0569 35.5438i 0.506120 0.390591i
\(92\) −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 \(0.349066\pi\)
−0.456604 + 0.889670i \(0.650934\pi\)
\(98\) 33.1805 92.2120i 0.338577 0.940939i
\(99\) 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 0.760677 0.649130i \(-0.224867\pi\)
−0.996884 + 0.0788758i \(0.974867\pi\)
\(102\) −5.33368 17.0277i −0.0522910 0.166938i
\(103\) −115.403 115.403i −1.12042 1.12042i −0.991679 0.128738i \(-0.958907\pi\)
−0.128738 0.991679i \(1.45891\pi\)
\(104\) −8.30700 65.9674i −0.0798750 0.634302i
\(105\) 5.00426 8.72335i 0.0476597 0.0830795i
\(106\) −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
\(112\) −71.5846 86.1373i −0.639149 0.769083i
\(113\) 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
\(119\) 120.070 + 68.8795i 1.00899 + 0.578820i
\(120\) −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
\(126\) −70.5461 + 100.942i −0.559889 + 0.801125i
\(127\) 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 −0.125064 0.992149i \(-0.539914\pi\)
−0.789989 + 0.613121i \(0.789914\pi\)
\(132\) −30.1499 5.43306i −0.228408 0.0411596i
\(133\) 174.374 134.571i 1.31108 1.01181i
\(134\) 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 −0.263302 0.964713i \(-0.584812\pi\)
0.495972 + 0.868338i \(0.334812\pi\)
\(140\) 85.0094 + 26.8955i 0.607210 + 0.192111i
\(141\) 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
\(147\) 3.00694 + 21.9017i 0.0204554 + 0.148991i
\(148\) 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
\(154\) 200.326 127.873i 1.30082 0.830346i
\(155\) −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 −0.0239914 0.999712i \(-0.507637\pi\)
−0.723868 + 0.689939i \(0.757637\pi\)
\(158\) 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 0.353421 0.935465i \(-0.385018\pi\)
−0.935465 + 0.353421i \(0.885018\pi\)
\(168\) 23.3144 + 9.73543i 0.138776 + 0.0579490i
\(169\) 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 −0.993590 0.113042i \(-0.963941\pi\)
0.782507 + 0.622642i \(0.213941\pi\)
\(174\) 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 −0.443018 0.896513i \(-0.646092\pi\)
0.320670 + 0.947191i \(0.396092\pi\)
\(182\) −113.619 25.0824i −0.624280 0.137815i
\(183\) −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
\(189\) 7.18175 55.7435i 0.0379987 0.294939i
\(190\) 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
\(196\) −184.060 + 67.3645i −0.939081 + 0.343696i
\(197\) −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 0.839465 0.543414i \(-0.182869\pi\)
−0.543414 + 0.839465i \(0.682869\pi\)
\(200\) 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
\(203\) −95.1318 + 73.4168i −0.468630 + 0.361659i
\(204\) −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
\(210\) −19.8049 + 3.51037i −0.0943092 + 0.0167160i
\(211\) 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
\(217\) 200.269 349.106i 0.922900 1.60878i
\(218\) 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 \(-0.797837\pi\)
0.805004 0.593270i \(-0.202163\pi\)
\(224\) −40.3564 + 220.335i −0.180163 + 0.983637i
\(225\) −130.713 −0.580946
\(226\) −205.917 + 172.127i −0.911137 + 0.761624i
\(227\) −121.090 50.1573i −0.533438 0.220957i 0.0996703 0.995021i \(-0.468221\pi\)
−0.633108 + 0.774063i \(0.718221\pi\)
\(228\) 32.3961 + 46.6383i 0.142088 + 0.204554i
\(229\) −101.966 246.167i −0.445266 1.07497i −0.974075 0.226226i \(-0.927361\pi\)
0.528809 0.848741i \(1.67736\pi\)
\(230\) −60.9979 + 19.1067i −0.265208 + 0.0830726i
\(231\) −26.6774 + 46.5035i −0.115486 + 0.201314i
\(232\) 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
\(238\) −48.3173 272.598i −0.203014 1.14537i
\(239\) 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 \(-0.274391\pi\)
0.650901 + 0.759163i \(0.274391\pi\)
\(242\) 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
\(245\) 94.3006 124.315i 0.384900 0.507408i
\(246\) 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 \(0.243761\pi\)
−0.0196000 + 0.999808i \(0.506239\pi\)
\(252\) 245.384 21.2247i 0.973747 0.0842249i
\(253\) −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 \(-0.988160\pi\)
0.999308 0.0371883i \(-0.0118401\pi\)
\(258\) −12.5748 + 10.5113i −0.0487394 + 0.0407415i
\(259\) 15.0238 + 1.93560i 0.0580068 + 0.00747334i
\(260\) 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
\(266\) −430.168 94.9634i −1.61717 0.357005i
\(267\) 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 −0.998952 0.0457610i \(-0.985429\pi\)
0.738724 + 0.674008i \(0.235429\pi\)
\(270\) 50.9328 + 4.55243i 0.188640 + 0.0168609i
\(271\) 204.374 0.754149 0.377075 0.926183i \(-0.376930\pi\)
0.377075 + 0.926183i \(0.376930\pi\)
\(272\) −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
\(280\) −67.7701 164.946i −0.242036 0.589092i
\(281\) −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 0.995642 0.0932585i \(-0.0297283\pi\)
−0.769969 + 0.638081i \(0.779728\pi\)
\(284\) 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 \(-0.765171\pi\)
0.0476440 0.998864i \(1.51517\pi\)
\(294\) 29.7512 32.7074i 0.101195 0.111250i
\(295\) 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
\(301\) 16.2463 126.101i 0.0539744 0.418940i
\(302\) −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 \(-0.721168\pi\)
0.995900 0.0904557i \(-0.0288324\pi\)
\(308\) −453.179 143.378i −1.47136 0.465513i
\(309\) −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 −0.706857 0.707357i \(-0.749887\pi\)
0.707357 + 0.706857i \(0.249887\pi\)
\(312\) 7.92699 28.9310i 0.0254070 0.0927277i
\(313\) −270.868 270.868i −0.865393 0.865393i 0.126565 0.991958i \(-0.459605\pi\)
−0.991958 + 0.126565i \(0.959605\pi\)
\(314\) 75.9768 + 242.555i 0.241964 + 0.772468i
\(315\) −155.228 + 119.796i −0.492789 + 0.380303i
\(316\) −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
\(322\) 80.4914 115.172i 0.249973 0.357678i
\(323\) 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
\(329\) 352.330 + 202.119i 1.07091 + 0.614343i
\(330\) −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
\(336\) −14.9662 48.2635i −0.0445424 0.143641i
\(337\) 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
\(343\) 2.85017 + 342.988i 0.00830953 + 0.999965i
\(344\) −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 0.596834 0.802365i \(-0.296425\pi\)
−0.145333 + 0.989383i \(0.546425\pi\)
\(350\) −170.520 119.173i −0.487199 0.340493i
\(351\) −66.7308 −0.190116
\(352\) −403.933 + 363.219i −1.14754 + 1.03187i
\(353\) 18.2232i 0.0516237i 0.999667 + 0.0258118i \(0.00821708\pi\)
−0.999667 + 0.0258118i \(0.991783\pi\)
\(354\) 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
\(357\) 38.1556 + 49.4412i 0.106878 + 0.138491i
\(358\) 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
\(364\) 107.250 + 206.521i 0.294642 + 0.567367i
\(365\) 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 \(-0.412742\pi\)
0.270708 + 0.962661i \(0.412742\pi\)
\(368\) −66.7710 146.045i −0.181443 0.396861i
\(369\) 129.591 0.351196
\(370\) −1.22695 + 13.7272i −0.00331609 + 0.0371006i
\(371\) 20.4315 158.586i 0.0550715 0.427456i
\(372\) 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
\(378\) −94.7504 + 60.4816i −0.250662 + 0.160004i
\(379\) 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 \(0.0929897\pi\)
−0.957631 + 0.287998i \(0.907010\pi\)
\(384\) −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
\(392\) 339.464 + 196.032i 0.865979 + 0.500081i
\(393\) −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 \(0.429948\pi\)
−0.844415 + 0.535689i \(0.820052\pi\)
\(398\) 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
\(406\) 234.683 + 51.8084i 0.578038 + 0.127607i
\(407\) 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 0.180191 0.983632i \(-0.442328\pi\)
−0.983632 + 0.180191i \(0.942328\pi\)
\(410\) −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
\(413\) −66.8825 + 519.130i −0.161943 + 1.25697i
\(414\) −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 0.395984 0.918258i \(-0.370404\pi\)
−0.369303 + 0.929309i \(0.620404\pi\)
\(420\) 30.7904 + 25.8879i 0.0733104 + 0.0616380i
\(421\) −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
\(427\) −111.892 144.987i −0.262042 0.339549i
\(428\) 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 \(-0.923027\pi\)
−0.970904 + 0.239467i \(0.923027\pi\)
\(434\) −792.588 + 140.484i −1.82624 + 0.323696i
\(435\) 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 −0.780245 0.625475i \(-0.784905\pi\)
0.625475 + 0.780245i \(0.284905\pi\)
\(440\) 114.279 417.084i 0.259726 0.947917i
\(441\) 109.250 416.951i 0.247732 0.945466i
\(442\) −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
\(448\) 389.869 220.695i 0.870242 0.492624i
\(449\) −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
\(455\) −160.695 92.1846i −0.353175 0.202603i
\(456\) 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 −0.907182 0.420738i \(-0.861771\pi\)
0.938981 + 0.343969i \(0.111771\pi\)
\(462\) 105.579 18.7135i 0.228525 0.0405054i
\(463\) 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 −0.820216 0.572054i \(-0.806147\pi\)
0.984484 + 0.175477i \(0.0561467\pi\)
\(468\) −62.2210 285.735i −0.132951 0.610544i
\(469\) −621.414 + 479.568i −1.32498 + 1.02253i
\(470\) −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
\(476\) −356.326 + 423.804i −0.748584 + 0.890344i
\(477\) −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 \(0.0766449\pi\)
−0.971151 + 0.238467i \(0.923355\pi\)
\(480\) 43.3472 15.3177i 0.0903066 0.0319120i
\(481\) 17.9850i 0.0373909i
\(482\) −402.426 481.425i −0.834908 0.998807i
\(483\) −4.05024 + 31.4373i −0.00838559 + 0.0650875i
\(484\) −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
\(490\) −311.720 + 14.7539i −0.636164 + 0.0301100i
\(491\) −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 −0.911195 0.411974i \(-0.864839\pi\)
0.411974 + 0.911195i \(0.364839\pi\)
\(504\) −347.323 349.318i −0.689133 0.693090i
\(505\) −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 0.0248518 0.999691i \(-0.492089\pi\)
−0.689315 + 0.724461i \(0.742089\pi\)
\(510\) −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
\(518\) −16.3008 25.5368i −0.0314686 0.0492987i
\(519\) −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 \(0.518368\pi\)
−0.998336 + 0.0576712i \(0.981632\pi\)
\(522\) −267.626 139.956i −0.512693 0.268116i
\(523\) 353.525 146.435i 0.675957 0.279990i −0.0181789 0.999835i \(-0.505787\pi\)
0.694135 + 0.719844i \(0.255787\pi\)
\(524\) 280.497 436.665i 0.535300 0.833329i
\(525\) 46.5449 + 5.99664i 0.0886569 + 0.0114222i
\(526\) 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
\(532\) 406.054 + 781.902i 0.763259 + 1.46974i
\(533\) 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
\(539\) −502.710 + 662.713i −0.932671 + 1.22952i
\(540\) −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
\(546\) −43.0286 30.0717i −0.0788069 0.0550765i
\(547\) −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
\(553\) −234.481 + 408.743i −0.424016 + 0.739138i
\(554\) 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
\(560\) −166.181 + 315.569i −0.296752 + 0.563515i
\(561\) 151.453i 0.269969i
\(562\) 338.260 + 30.2340i 0.601886 + 0.0537972i
\(563\) 67.5958 163.191i 0.120064 0.289859i −0.852409 0.522875i \(-0.824859\pi\)
0.972473 + 0.233016i \(0.0748594\pi\)
\(564\) −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
\(567\) −263.140 + 458.701i −0.464091 + 0.808997i
\(568\) 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
\(574\) 169.057 + 118.150i 0.294524 + 0.205837i
\(575\) 149.140 0.259374
\(576\) −545.397 + 139.572i −0.946870 + 0.242313i
\(577\) 548.238i 0.950153i 0.879944 + 0.475077i \(0.157580\pi\)
−0.879944 + 0.475077i \(0.842420\pi\)
\(578\) −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
\(581\) −290.863 + 224.470i −0.500625 + 0.386351i
\(582\) 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 −0.867806 0.496902i \(-0.834471\pi\)
−0.262269 + 0.964995i \(0.584471\pi\)
\(588\) −88.3514 3.69957i −0.150257 0.00629179i
\(589\) −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 \(-0.570776\pi\)
−0.220523 + 0.975382i \(0.570776\pi\)
\(594\) −271.519 24.2687i −0.457103 0.0408564i
\(595\) 56.3244 437.180i 0.0946628 0.734757i
\(596\) −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 0.263822 0.964571i \(-0.415017\pi\)
−0.964571 + 0.263822i \(0.915017\pi\)
\(602\) −214.341 + 136.819i −0.356048 + 0.227275i
\(603\) 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 \(0.0398995\pi\)
−0.992154 + 0.125020i \(0.960101\pi\)
\(608\) 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
\(616\) 361.277 + 879.314i 0.586489 + 1.42746i
\(617\) −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 0.392954 0.919558i \(-0.371453\pi\)
0.928086 + 0.372366i \(0.121453\pi\)
\(620\) −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
\(630\) 382.937 + 84.5368i 0.607837 + 0.134185i
\(631\) 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
\(637\) 403.456 55.3915i 0.633370 0.0869569i
\(638\) 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 0.425987 0.904729i \(-0.359927\pi\)
−0.338522 + 0.940958i \(0.609927\pi\)
\(644\) −279.978 + 24.2169i −0.434748 + 0.0376038i
\(645\) −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 0.611068 0.791578i \(-0.290740\pi\)
−0.791578 + 0.611068i \(0.790740\pi\)
\(648\) 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
\(651\) 143.752 110.939i 0.220817 0.170413i
\(652\) −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
\(658\) −141.781 799.907i −0.215473 1.21566i
\(659\) 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 −0.356247 0.934392i \(-0.615944\pi\)
0.408810 + 0.912620i \(0.365944\pi\)
\(662\) 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
\(665\) −608.400 349.016i −0.914887 0.524837i
\(666\) 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
\(672\) −54.8632 + 84.8731i −0.0816417 + 0.126299i
\(673\) 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 \(0.0853215\pi\)
−0.494581 + 0.869131i \(0.664679\pi\)
\(678\) −115.550 + 36.1943i −0.170427 + 0.0533839i
\(679\) −601.186 + 1047.98i −0.885398 + 1.54341i
\(680\) −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
\(686\) 522.659 444.323i 0.761894 0.647701i
\(687\) 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 \(-0.715721\pi\)
0.994207 0.107483i \(-0.0342790\pi\)
\(692\) −321.148 206.294i −0.464087 0.298112i
\(693\) 827.511 638.621i 1.19410 0.921531i
\(694\) 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
\(700\) 35.8546 + 414.525i 0.0512208 + 0.592178i
\(701\) −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
\(707\) 55.7614 432.811i 0.0788705 0.612179i
\(708\) −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
\(714\) 26.9255 121.968i 0.0377107 0.170823i
\(715\) −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 \(-0.421927\pi\)
0.242821 + 0.970071i \(0.421927\pi\)
\(720\) 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 −0.355986 0.934491i \(-0.615855\pi\)
0.934491 + 0.355986i \(0.115855\pi\)
\(728\) 179.338 429.479i 0.246344 0.589943i
\(729\) 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 0.832399 0.554177i \(-0.186967\pi\)
0.196732 + 0.980457i \(0.436967\pi\)
\(734\) −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
\(742\) −269.558 + 172.066i −0.363286 + 0.231894i
\(743\) 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
\(749\) 41.8551 324.872i 0.0558813 0.433741i
\(750\) −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
\(756\) 214.345 + 67.8150i 0.283525 + 0.0897024i