Properties

Label 462.2.w.b.281.2
Level $462$
Weight $2$
Character 462.281
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 281.2
Character \(\chi\) \(=\) 462.281
Dual form 462.2.w.b.365.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(-1.48354 + 0.893930i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.599576 + 0.194814i) q^{5} +(1.30862 + 1.13469i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(1.40178 - 2.65236i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(-1.48354 + 0.893930i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.599576 + 0.194814i) q^{5} +(1.30862 + 1.13469i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(1.40178 - 2.65236i) q^{9} -0.630432i q^{10} +(-2.44475 + 2.24125i) q^{11} +(0.674769 - 1.59521i) q^{12} +(2.41247 - 0.783858i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(-1.06364 + 0.246965i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.70538 + 5.24863i) q^{17} +(-2.95572 - 0.513545i) q^{18} +(-0.782917 + 1.07759i) q^{19} +(-0.599576 + 0.194814i) q^{20} +(1.59521 + 0.674769i) q^{21} +(2.88702 + 1.63251i) q^{22} +8.39152i q^{23} +(-1.72565 - 0.148798i) q^{24} +(-3.72355 - 2.70531i) q^{25} +(-1.49099 - 2.05217i) q^{26} +(0.291435 + 5.18797i) q^{27} +(0.951057 + 0.309017i) q^{28} +(-0.707415 + 0.513967i) q^{29} +(0.563562 + 0.935270i) q^{30} +(2.94421 + 9.06135i) q^{31} -1.00000 q^{32} +(1.62336 - 5.51042i) q^{33} +5.51874 q^{34} +(-0.194814 - 0.599576i) q^{35} +(0.424957 + 2.96975i) q^{36} +(-1.24996 + 0.908150i) q^{37} +(1.26679 + 0.411604i) q^{38} +(-2.87827 + 3.31946i) q^{39} +(0.370558 + 0.510030i) q^{40} +(3.18826 + 2.31641i) q^{41} +(0.148798 - 1.72565i) q^{42} +3.14116i q^{43} +(0.660472 - 3.25020i) q^{44} +(1.35719 - 1.31721i) q^{45} +(7.98081 - 2.59312i) q^{46} +(1.24469 - 1.71316i) q^{47} +(0.391739 + 1.68717i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(-1.42227 + 4.37729i) q^{50} +(-2.16191 - 9.31104i) q^{51} +(-1.49099 + 2.05217i) q^{52} +(-2.81686 + 0.915255i) q^{53} +(4.84400 - 1.88034i) q^{54} +(-1.90244 + 0.867527i) q^{55} -1.00000i q^{56} +(0.198195 - 2.29852i) q^{57} +(0.707415 + 0.513967i) q^{58} +(-4.03171 - 5.54917i) q^{59} +(0.715344 - 0.824994i) q^{60} +(11.4880 + 3.73266i) q^{61} +(7.70804 - 5.60022i) q^{62} +(-2.96975 + 0.424957i) q^{63} +(0.309017 + 0.951057i) q^{64} +1.59916 q^{65} +(-5.74236 + 0.158902i) q^{66} +2.01926 q^{67} +(-1.70538 - 5.24863i) q^{68} +(-7.50144 - 12.4492i) q^{69} +(-0.510030 + 0.370558i) q^{70} +(-13.8818 - 4.51048i) q^{71} +(2.69308 - 1.32186i) q^{72} +(1.66168 + 2.28710i) q^{73} +(1.24996 + 0.908150i) q^{74} +(7.94239 + 0.684850i) q^{75} -1.33198i q^{76} +(3.25020 + 0.660472i) q^{77} +(4.04643 + 1.71163i) q^{78} +(-9.35570 + 3.03985i) q^{79} +(0.370558 - 0.510030i) q^{80} +(-5.07004 - 7.43604i) q^{81} +(1.21781 - 3.74802i) q^{82} +(3.56305 - 10.9659i) q^{83} +(-1.68717 + 0.391739i) q^{84} +(-2.04501 + 2.81472i) q^{85} +(2.98742 - 0.970672i) q^{86} +(0.590028 - 1.39487i) q^{87} +(-3.29522 + 0.376220i) q^{88} -11.3022i q^{89} +(-1.67213 - 0.883725i) q^{90} +(-2.05217 - 1.49099i) q^{91} +(-4.93241 - 6.78888i) q^{92} +(-12.4681 - 10.8109i) q^{93} +(-2.01394 - 0.654370i) q^{94} +(-0.679348 + 0.493575i) q^{95} +(1.48354 - 0.893930i) q^{96} +(1.98790 + 6.11813i) q^{97} +1.00000 q^{98} +(2.51760 + 9.62609i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + O(q^{10}) \) \( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) −1.48354 + 0.893930i −0.856522 + 0.516111i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.599576 + 0.194814i 0.268139 + 0.0871235i 0.440000 0.897998i \(-0.354978\pi\)
−0.171862 + 0.985121i \(0.554978\pi\)
\(6\) 1.30862 + 1.13469i 0.534241 + 0.463235i
\(7\) −0.587785 0.809017i −0.222162 0.305780i
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) 1.40178 2.65236i 0.467259 0.884120i
\(10\) 0.630432i 0.199360i
\(11\) −2.44475 + 2.24125i −0.737120 + 0.675762i
\(12\) 0.674769 1.59521i 0.194789 0.460497i
\(13\) 2.41247 0.783858i 0.669098 0.217403i 0.0452817 0.998974i \(-0.485581\pi\)
0.623816 + 0.781571i \(0.285581\pi\)
\(14\) −0.587785 + 0.809017i −0.157092 + 0.216219i
\(15\) −1.06364 + 0.246965i −0.274632 + 0.0637661i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −1.70538 + 5.24863i −0.413616 + 1.27298i 0.499866 + 0.866103i \(0.333382\pi\)
−0.913483 + 0.406878i \(0.866618\pi\)
\(18\) −2.95572 0.513545i −0.696670 0.121044i
\(19\) −0.782917 + 1.07759i −0.179613 + 0.247217i −0.889325 0.457276i \(-0.848825\pi\)
0.709712 + 0.704492i \(0.248825\pi\)
\(20\) −0.599576 + 0.194814i −0.134069 + 0.0435618i
\(21\) 1.59521 + 0.674769i 0.348103 + 0.147247i
\(22\) 2.88702 + 1.63251i 0.615515 + 0.348053i
\(23\) 8.39152i 1.74975i 0.484346 + 0.874877i \(0.339058\pi\)
−0.484346 + 0.874877i \(0.660942\pi\)
\(24\) −1.72565 0.148798i −0.352246 0.0303732i
\(25\) −3.72355 2.70531i −0.744709 0.541063i
\(26\) −1.49099 2.05217i −0.292406 0.402463i
\(27\) 0.291435 + 5.18797i 0.0560866 + 0.998426i
\(28\) 0.951057 + 0.309017i 0.179733 + 0.0583987i
\(29\) −0.707415 + 0.513967i −0.131364 + 0.0954413i −0.651527 0.758626i \(-0.725871\pi\)
0.520163 + 0.854067i \(0.325871\pi\)
\(30\) 0.563562 + 0.935270i 0.102892 + 0.170756i
\(31\) 2.94421 + 9.06135i 0.528796 + 1.62747i 0.756685 + 0.653779i \(0.226818\pi\)
−0.227889 + 0.973687i \(0.573182\pi\)
\(32\) −1.00000 −0.176777
\(33\) 1.62336 5.51042i 0.282591 0.959240i
\(34\) 5.51874 0.946456
\(35\) −0.194814 0.599576i −0.0329296 0.101347i
\(36\) 0.424957 + 2.96975i 0.0708262 + 0.494958i
\(37\) −1.24996 + 0.908150i −0.205492 + 0.149299i −0.685772 0.727817i \(-0.740535\pi\)
0.480279 + 0.877116i \(0.340535\pi\)
\(38\) 1.26679 + 0.411604i 0.205500 + 0.0667709i
\(39\) −2.87827 + 3.31946i −0.460893 + 0.531539i
\(40\) 0.370558 + 0.510030i 0.0585904 + 0.0806428i
\(41\) 3.18826 + 2.31641i 0.497923 + 0.361762i 0.808223 0.588877i \(-0.200430\pi\)
−0.310300 + 0.950639i \(0.600430\pi\)
\(42\) 0.148798 1.72565i 0.0229600 0.266273i
\(43\) 3.14116i 0.479023i 0.970894 + 0.239511i \(0.0769872\pi\)
−0.970894 + 0.239511i \(0.923013\pi\)
\(44\) 0.660472 3.25020i 0.0995699 0.489986i
\(45\) 1.35719 1.31721i 0.202318 0.196358i
\(46\) 7.98081 2.59312i 1.17671 0.382335i
\(47\) 1.24469 1.71316i 0.181556 0.249890i −0.708532 0.705678i \(-0.750642\pi\)
0.890088 + 0.455788i \(0.150642\pi\)
\(48\) 0.391739 + 1.68717i 0.0565427 + 0.243522i
\(49\) −0.309017 + 0.951057i −0.0441453 + 0.135865i
\(50\) −1.42227 + 4.37729i −0.201139 + 0.619042i
\(51\) −2.16191 9.31104i −0.302728 1.30381i
\(52\) −1.49099 + 2.05217i −0.206763 + 0.284584i
\(53\) −2.81686 + 0.915255i −0.386926 + 0.125720i −0.496019 0.868312i \(-0.665205\pi\)
0.109093 + 0.994032i \(0.465205\pi\)
\(54\) 4.84400 1.88034i 0.659185 0.255882i
\(55\) −1.90244 + 0.867527i −0.256525 + 0.116977i
\(56\) 1.00000i 0.133631i
\(57\) 0.198195 2.29852i 0.0262516 0.304447i
\(58\) 0.707415 + 0.513967i 0.0928882 + 0.0674872i
\(59\) −4.03171 5.54917i −0.524884 0.722441i 0.461456 0.887163i \(-0.347327\pi\)
−0.986340 + 0.164722i \(0.947327\pi\)
\(60\) 0.715344 0.824994i 0.0923506 0.106506i
\(61\) 11.4880 + 3.73266i 1.47088 + 0.477918i 0.931374 0.364063i \(-0.118611\pi\)
0.539507 + 0.841981i \(0.318611\pi\)
\(62\) 7.70804 5.60022i 0.978923 0.711229i
\(63\) −2.96975 + 0.424957i −0.374153 + 0.0535396i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) 1.59916 0.198352
\(66\) −5.74236 + 0.158902i −0.706836 + 0.0195595i
\(67\) 2.01926 0.246691 0.123346 0.992364i \(-0.460638\pi\)
0.123346 + 0.992364i \(0.460638\pi\)
\(68\) −1.70538 5.24863i −0.206808 0.636490i
\(69\) −7.50144 12.4492i −0.903067 1.49870i
\(70\) −0.510030 + 0.370558i −0.0609602 + 0.0442902i
\(71\) −13.8818 4.51048i −1.64747 0.535295i −0.669281 0.743010i \(-0.733398\pi\)
−0.978190 + 0.207714i \(0.933398\pi\)
\(72\) 2.69308 1.32186i 0.317383 0.155783i
\(73\) 1.66168 + 2.28710i 0.194485 + 0.267685i 0.895111 0.445843i \(-0.147096\pi\)
−0.700626 + 0.713528i \(0.747096\pi\)
\(74\) 1.24996 + 0.908150i 0.145305 + 0.105570i
\(75\) 7.94239 + 0.684850i 0.917108 + 0.0790796i
\(76\) 1.33198i 0.152788i
\(77\) 3.25020 + 0.660472i 0.370394 + 0.0752678i
\(78\) 4.04643 + 1.71163i 0.458168 + 0.193804i
\(79\) −9.35570 + 3.03985i −1.05260 + 0.342010i −0.783687 0.621155i \(-0.786664\pi\)
−0.268911 + 0.963165i \(0.586664\pi\)
\(80\) 0.370558 0.510030i 0.0414297 0.0570231i
\(81\) −5.07004 7.43604i −0.563338 0.826227i
\(82\) 1.21781 3.74802i 0.134484 0.413900i
\(83\) 3.56305 10.9659i 0.391096 1.20367i −0.540865 0.841109i \(-0.681903\pi\)
0.931961 0.362559i \(-0.118097\pi\)
\(84\) −1.68717 + 0.391739i −0.184085 + 0.0427423i
\(85\) −2.04501 + 2.81472i −0.221813 + 0.305299i
\(86\) 2.98742 0.970672i 0.322142 0.104670i
\(87\) 0.590028 1.39487i 0.0632576 0.149546i
\(88\) −3.29522 + 0.376220i −0.351271 + 0.0401052i
\(89\) 11.3022i 1.19803i −0.800736 0.599017i \(-0.795558\pi\)
0.800736 0.599017i \(-0.204442\pi\)
\(90\) −1.67213 0.883725i −0.176258 0.0931528i
\(91\) −2.05217 1.49099i −0.215125 0.156298i
\(92\) −4.93241 6.78888i −0.514240 0.707790i
\(93\) −12.4681 10.8109i −1.29288 1.12104i
\(94\) −2.01394 0.654370i −0.207722 0.0674931i
\(95\) −0.679348 + 0.493575i −0.0696997 + 0.0506398i
\(96\) 1.48354 0.893930i 0.151413 0.0912364i
\(97\) 1.98790 + 6.11813i 0.201841 + 0.621202i 0.999828 + 0.0185283i \(0.00589809\pi\)
−0.797987 + 0.602674i \(0.794102\pi\)
\(98\) 1.00000 0.101015
\(99\) 2.51760 + 9.62609i 0.253029 + 0.967459i
\(100\) 4.60256 0.460256
\(101\) 3.56987 + 10.9869i 0.355215 + 1.09324i 0.955884 + 0.293743i \(0.0949010\pi\)
−0.600669 + 0.799498i \(0.705099\pi\)
\(102\) −8.18726 + 4.93337i −0.810660 + 0.488476i
\(103\) −3.40723 + 2.47550i −0.335725 + 0.243918i −0.742856 0.669452i \(-0.766529\pi\)
0.407131 + 0.913370i \(0.366529\pi\)
\(104\) 2.41247 + 0.783858i 0.236562 + 0.0768636i
\(105\) 0.824994 + 0.715344i 0.0805111 + 0.0698105i
\(106\) 1.74092 + 2.39617i 0.169093 + 0.232736i
\(107\) 10.7603 + 7.81783i 1.04024 + 0.755778i 0.970332 0.241775i \(-0.0777297\pi\)
0.0699071 + 0.997554i \(0.477730\pi\)
\(108\) −3.28519 4.02586i −0.316118 0.387388i
\(109\) 18.7342i 1.79441i −0.441615 0.897205i \(-0.645594\pi\)
0.441615 0.897205i \(-0.354406\pi\)
\(110\) 1.41295 + 1.54125i 0.134720 + 0.146952i
\(111\) 1.04254 2.46466i 0.0989539 0.233935i
\(112\) −0.951057 + 0.309017i −0.0898664 + 0.0291994i
\(113\) −9.42189 + 12.9681i −0.886337 + 1.21994i 0.0882877 + 0.996095i \(0.471861\pi\)
−0.974625 + 0.223844i \(0.928139\pi\)
\(114\) −2.24727 + 0.521788i −0.210476 + 0.0488699i
\(115\) −1.63479 + 5.03136i −0.152445 + 0.469176i
\(116\) 0.270209 0.831617i 0.0250882 0.0772137i
\(117\) 1.30267 7.49753i 0.120432 0.693147i
\(118\) −4.03171 + 5.54917i −0.371149 + 0.510843i
\(119\) 5.24863 1.70538i 0.481141 0.156332i
\(120\) −1.00567 0.425396i −0.0918046 0.0388332i
\(121\) 0.953611 10.9586i 0.0866919 0.996235i
\(122\) 12.0791i 1.09359i
\(123\) −6.80061 0.586398i −0.613191 0.0528737i
\(124\) −7.70804 5.60022i −0.692203 0.502915i
\(125\) −3.55831 4.89759i −0.318265 0.438054i
\(126\) 1.32186 + 2.69308i 0.117761 + 0.239919i
\(127\) 8.81861 + 2.86534i 0.782525 + 0.254258i 0.672918 0.739717i \(-0.265041\pi\)
0.109607 + 0.993975i \(0.465041\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) −2.80798 4.66004i −0.247229 0.410293i
\(130\) −0.494169 1.52090i −0.0433415 0.133391i
\(131\) 6.41687 0.560645 0.280322 0.959906i \(-0.409559\pi\)
0.280322 + 0.959906i \(0.409559\pi\)
\(132\) 1.92561 + 5.41221i 0.167603 + 0.471072i
\(133\) 1.33198 0.115497
\(134\) −0.623984 1.92043i −0.0539040 0.165900i
\(135\) −0.835953 + 3.16736i −0.0719474 + 0.272603i
\(136\) −4.46475 + 3.24383i −0.382849 + 0.278156i
\(137\) −0.648083 0.210575i −0.0553694 0.0179906i 0.281201 0.959649i \(-0.409267\pi\)
−0.336571 + 0.941658i \(0.609267\pi\)
\(138\) −9.52178 + 10.9813i −0.810547 + 0.934789i
\(139\) −7.79784 10.7328i −0.661405 0.910345i 0.338122 0.941102i \(-0.390208\pi\)
−0.999527 + 0.0307569i \(0.990208\pi\)
\(140\) 0.510030 + 0.370558i 0.0431054 + 0.0313179i
\(141\) −0.315092 + 3.65421i −0.0265355 + 0.307740i
\(142\) 14.5962i 1.22489i
\(143\) −4.14106 + 7.32327i −0.346293 + 0.612403i
\(144\) −2.08937 2.15279i −0.174114 0.179400i
\(145\) −0.524277 + 0.170348i −0.0435389 + 0.0141466i
\(146\) 1.66168 2.28710i 0.137521 0.189282i
\(147\) −0.391739 1.68717i −0.0323101 0.139155i
\(148\) 0.477443 1.46942i 0.0392456 0.120785i
\(149\) 4.00287 12.3196i 0.327928 1.00926i −0.642174 0.766559i \(-0.721967\pi\)
0.970102 0.242699i \(-0.0780328\pi\)
\(150\) −1.80300 7.76529i −0.147215 0.634033i
\(151\) −8.58790 + 11.8202i −0.698874 + 0.961917i 0.301092 + 0.953595i \(0.402649\pi\)
−0.999965 + 0.00832193i \(0.997351\pi\)
\(152\) −1.26679 + 0.411604i −0.102750 + 0.0333855i
\(153\) 11.5307 + 11.8807i 0.932202 + 0.960498i
\(154\) −0.376220 3.29522i −0.0303167 0.265536i
\(155\) 6.00654i 0.482457i
\(156\) 0.377443 4.37731i 0.0302196 0.350465i
\(157\) 10.1071 + 7.34326i 0.806636 + 0.586056i 0.912853 0.408287i \(-0.133874\pi\)
−0.106217 + 0.994343i \(0.533874\pi\)
\(158\) 5.78214 + 7.95843i 0.460002 + 0.633139i
\(159\) 3.36075 3.87590i 0.266525 0.307379i
\(160\) −0.599576 0.194814i −0.0474007 0.0154014i
\(161\) 6.78888 4.93241i 0.535039 0.388729i
\(162\) −5.50537 + 7.11976i −0.432542 + 0.559381i
\(163\) −0.453419 1.39548i −0.0355145 0.109303i 0.931728 0.363158i \(-0.118301\pi\)
−0.967242 + 0.253855i \(0.918301\pi\)
\(164\) −3.94091 −0.307733
\(165\) 2.04684 2.98766i 0.159346 0.232589i
\(166\) −11.5303 −0.894923
\(167\) 4.39597 + 13.5294i 0.340171 + 1.04694i 0.964119 + 0.265472i \(0.0855277\pi\)
−0.623948 + 0.781466i \(0.714472\pi\)
\(168\) 0.893930 + 1.48354i 0.0689682 + 0.114458i
\(169\) −5.31166 + 3.85915i −0.408589 + 0.296857i
\(170\) 3.30890 + 1.07513i 0.253781 + 0.0824585i
\(171\) 1.76069 + 3.58712i 0.134643 + 0.274314i
\(172\) −1.84633 2.54125i −0.140781 0.193769i
\(173\) 1.47145 + 1.06907i 0.111872 + 0.0812798i 0.642315 0.766441i \(-0.277974\pi\)
−0.530443 + 0.847721i \(0.677974\pi\)
\(174\) −1.50893 0.130111i −0.114392 0.00986367i
\(175\) 4.60256i 0.347921i
\(176\) 1.37608 + 3.01768i 0.103726 + 0.227466i
\(177\) 10.9418 + 4.62835i 0.822434 + 0.347888i
\(178\) −10.7491 + 3.49258i −0.805676 + 0.261780i
\(179\) 7.46316 10.2722i 0.557823 0.767777i −0.433225 0.901286i \(-0.642624\pi\)
0.991048 + 0.133509i \(0.0426245\pi\)
\(180\) −0.323755 + 1.86338i −0.0241313 + 0.138888i
\(181\) 7.77978 23.9437i 0.578267 1.77972i −0.0465090 0.998918i \(-0.514810\pi\)
0.624776 0.780804i \(-0.285190\pi\)
\(182\) −0.783858 + 2.41247i −0.0581034 + 0.178824i
\(183\) −20.3796 + 4.73188i −1.50650 + 0.349791i
\(184\) −4.93241 + 6.78888i −0.363622 + 0.500483i
\(185\) −0.926368 + 0.300995i −0.0681079 + 0.0221296i
\(186\) −6.42898 + 15.1986i −0.471396 + 1.11442i
\(187\) −7.59425 16.6538i −0.555347 1.21785i
\(188\) 2.11759i 0.154441i
\(189\) 4.02586 3.28519i 0.292838 0.238962i
\(190\) 0.679348 + 0.493575i 0.0492851 + 0.0358077i
\(191\) −12.8084 17.6292i −0.926780 1.27560i −0.961102 0.276192i \(-0.910927\pi\)
0.0343227 0.999411i \(-0.489073\pi\)
\(192\) −1.30862 1.13469i −0.0944413 0.0818892i
\(193\) 17.8519 + 5.80045i 1.28501 + 0.417525i 0.870342 0.492447i \(-0.163897\pi\)
0.414669 + 0.909972i \(0.363897\pi\)
\(194\) 5.20440 3.78122i 0.373654 0.271475i
\(195\) −2.37242 + 1.42954i −0.169893 + 0.102372i
\(196\) −0.309017 0.951057i −0.0220726 0.0679326i
\(197\) −10.1234 −0.721262 −0.360631 0.932709i \(-0.617439\pi\)
−0.360631 + 0.932709i \(0.617439\pi\)
\(198\) 8.37698 5.36901i 0.595326 0.381559i
\(199\) 23.3180 1.65297 0.826484 0.562960i \(-0.190338\pi\)
0.826484 + 0.562960i \(0.190338\pi\)
\(200\) −1.42227 4.37729i −0.100570 0.309521i
\(201\) −2.99564 + 1.80507i −0.211296 + 0.127320i
\(202\) 9.34604 6.79030i 0.657585 0.477764i
\(203\) 0.831617 + 0.270209i 0.0583681 + 0.0189649i
\(204\) 7.22191 + 6.26206i 0.505635 + 0.438432i
\(205\) 1.46034 + 2.00998i 0.101994 + 0.140383i
\(206\) 3.40723 + 2.47550i 0.237393 + 0.172476i
\(207\) 22.2573 + 11.7630i 1.54699 + 0.817588i
\(208\) 2.53662i 0.175883i
\(209\) −0.501116 4.38916i −0.0346629 0.303604i
\(210\) 0.425396 1.00567i 0.0293551 0.0693978i
\(211\) 11.1060 3.60856i 0.764570 0.248424i 0.0993310 0.995054i \(-0.468330\pi\)
0.665239 + 0.746631i \(0.268330\pi\)
\(212\) 1.74092 2.39617i 0.119567 0.164569i
\(213\) 24.6263 5.71791i 1.68737 0.391785i
\(214\) 4.11008 12.6495i 0.280959 0.864703i
\(215\) −0.611942 + 1.88337i −0.0417341 + 0.128444i
\(216\) −2.81364 + 4.36846i −0.191444 + 0.297236i
\(217\) 5.60022 7.70804i 0.380168 0.523256i
\(218\) −17.8173 + 5.78918i −1.20674 + 0.392093i
\(219\) −4.50967 1.90758i −0.304736 0.128903i
\(220\) 1.02919 1.82007i 0.0693878 0.122709i
\(221\) 13.9989i 0.941670i
\(222\) −2.66619 0.229898i −0.178943 0.0154297i
\(223\) −6.49078 4.71583i −0.434655 0.315795i 0.348853 0.937178i \(-0.386571\pi\)
−0.783507 + 0.621382i \(0.786571\pi\)
\(224\) 0.587785 + 0.809017i 0.0392731 + 0.0540547i
\(225\) −12.3951 + 6.08394i −0.826337 + 0.405596i
\(226\) 15.2449 + 4.95338i 1.01408 + 0.329494i
\(227\) 0.597813 0.434336i 0.0396782 0.0288279i −0.567769 0.823188i \(-0.692193\pi\)
0.607448 + 0.794360i \(0.292193\pi\)
\(228\) 1.19070 + 1.97604i 0.0788557 + 0.130867i
\(229\) 1.91931 + 5.90703i 0.126832 + 0.390348i 0.994230 0.107266i \(-0.0342097\pi\)
−0.867399 + 0.497614i \(0.834210\pi\)
\(230\) 5.29028 0.348831
\(231\) −5.41221 + 1.92561i −0.356097 + 0.126696i
\(232\) −0.874414 −0.0574081
\(233\) 6.49607 + 19.9929i 0.425572 + 1.30978i 0.902446 + 0.430804i \(0.141770\pi\)
−0.476874 + 0.878972i \(0.658230\pi\)
\(234\) −7.53312 + 1.07795i −0.492455 + 0.0704680i
\(235\) 1.08003 0.784689i 0.0704535 0.0511875i
\(236\) 6.52344 + 2.11959i 0.424640 + 0.137974i
\(237\) 11.1621 12.8731i 0.725058 0.836196i
\(238\) −3.24383 4.46475i −0.210266 0.289407i
\(239\) 8.06794 + 5.86170i 0.521872 + 0.379162i 0.817308 0.576200i \(-0.195465\pi\)
−0.295437 + 0.955362i \(0.595465\pi\)
\(240\) −0.0938068 + 1.08790i −0.00605520 + 0.0702238i
\(241\) 15.9382i 1.02667i 0.858188 + 0.513336i \(0.171591\pi\)
−0.858188 + 0.513336i \(0.828409\pi\)
\(242\) −10.7169 + 2.47945i −0.688910 + 0.159385i
\(243\) 14.1689 + 6.49939i 0.908936 + 0.416936i
\(244\) −11.4880 + 3.73266i −0.735441 + 0.238959i
\(245\) −0.370558 + 0.510030i −0.0236741 + 0.0325846i
\(246\) 1.54381 + 6.64898i 0.0984296 + 0.423923i
\(247\) −1.04408 + 3.21335i −0.0664333 + 0.204461i
\(248\) −2.94421 + 9.06135i −0.186958 + 0.575396i
\(249\) 4.51686 + 19.4535i 0.286245 + 1.23282i
\(250\) −3.55831 + 4.89759i −0.225047 + 0.309751i
\(251\) −17.3036 + 5.62229i −1.09220 + 0.354876i −0.799094 0.601206i \(-0.794687\pi\)
−0.293101 + 0.956081i \(0.594687\pi\)
\(252\) 2.15279 2.08937i 0.135613 0.131618i
\(253\) −18.8075 20.5152i −1.18242 1.28978i
\(254\) 9.27244i 0.581804i
\(255\) 0.517695 6.00385i 0.0324193 0.375976i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −4.68279 6.44531i −0.292104 0.402047i 0.637592 0.770374i \(-0.279931\pi\)
−0.929696 + 0.368327i \(0.879931\pi\)
\(258\) −3.56424 + 4.11058i −0.221900 + 0.255913i
\(259\) 1.46942 + 0.477443i 0.0913052 + 0.0296669i
\(260\) −1.29375 + 0.939965i −0.0802350 + 0.0582941i
\(261\) 0.371588 + 2.59679i 0.0230007 + 0.160737i
\(262\) −1.98292 6.10281i −0.122505 0.377033i
\(263\) −6.20966 −0.382904 −0.191452 0.981502i \(-0.561320\pi\)
−0.191452 + 0.981502i \(0.561320\pi\)
\(264\) 4.55227 3.50383i 0.280173 0.215646i
\(265\) −1.86723 −0.114703
\(266\) −0.411604 1.26679i −0.0252370 0.0776716i
\(267\) 10.1034 + 16.7673i 0.618318 + 1.02614i
\(268\) −1.63361 + 1.18689i −0.0997887 + 0.0725007i
\(269\) −3.05925 0.994012i −0.186526 0.0606060i 0.214265 0.976776i \(-0.431265\pi\)
−0.400791 + 0.916170i \(0.631265\pi\)
\(270\) 3.27066 0.183730i 0.199046 0.0111814i
\(271\) 3.91340 + 5.38634i 0.237722 + 0.327197i 0.911164 0.412044i \(-0.135185\pi\)
−0.673442 + 0.739240i \(0.735185\pi\)
\(272\) 4.46475 + 3.24383i 0.270715 + 0.196686i
\(273\) 4.37731 + 0.377443i 0.264927 + 0.0228439i
\(274\) 0.681434i 0.0411670i
\(275\) 15.1664 1.73157i 0.914570 0.104418i
\(276\) 13.3862 + 5.66234i 0.805756 + 0.340833i
\(277\) 12.2294 3.97356i 0.734792 0.238748i 0.0823673 0.996602i \(-0.473752\pi\)
0.652425 + 0.757854i \(0.273752\pi\)
\(278\) −7.79784 + 10.7328i −0.467684 + 0.643711i
\(279\) 28.1611 + 4.89288i 1.68596 + 0.292929i
\(280\) 0.194814 0.599576i 0.0116424 0.0358315i
\(281\) 0.201056 0.618785i 0.0119940 0.0369136i −0.944880 0.327416i \(-0.893822\pi\)
0.956874 + 0.290502i \(0.0938223\pi\)
\(282\) 3.57273 0.829542i 0.212753 0.0493985i
\(283\) −17.5012 + 24.0884i −1.04034 + 1.43190i −0.143445 + 0.989658i \(0.545818\pi\)
−0.896894 + 0.442246i \(0.854182\pi\)
\(284\) 13.8818 4.51048i 0.823735 0.267648i
\(285\) 0.566618 1.33953i 0.0335635 0.0793468i
\(286\) 8.24450 + 1.67536i 0.487508 + 0.0990664i
\(287\) 3.94091i 0.232624i
\(288\) −1.40178 + 2.65236i −0.0826005 + 0.156292i
\(289\) −10.8865 7.90951i −0.640383 0.465265i
\(290\) 0.324021 + 0.445977i 0.0190272 + 0.0261887i
\(291\) −8.41832 7.29945i −0.493490 0.427901i
\(292\) −2.68865 0.873596i −0.157341 0.0511233i
\(293\) −25.9493 + 18.8533i −1.51598 + 1.10142i −0.552538 + 0.833488i \(0.686341\pi\)
−0.963438 + 0.267933i \(0.913659\pi\)
\(294\) −1.48354 + 0.893930i −0.0865218 + 0.0521351i
\(295\) −1.33626 4.11258i −0.0778000 0.239444i
\(296\) −1.54504 −0.0898035
\(297\) −12.3400 12.0301i −0.716041 0.698059i
\(298\) −12.9536 −0.750380
\(299\) 6.57776 + 20.2443i 0.380402 + 1.17076i
\(300\) −6.82807 + 4.11436i −0.394219 + 0.237543i
\(301\) 2.54125 1.84633i 0.146475 0.106421i
\(302\) 13.8955 + 4.51493i 0.799597 + 0.259805i
\(303\) −15.1176 13.1083i −0.868483 0.753054i
\(304\) 0.782917 + 1.07759i 0.0449034 + 0.0618042i
\(305\) 6.16073 + 4.47603i 0.352762 + 0.256297i
\(306\) 7.73604 14.6377i 0.442240 0.836781i
\(307\) 5.81483i 0.331870i −0.986137 0.165935i \(-0.946936\pi\)
0.986137 0.165935i \(-0.0530642\pi\)
\(308\) −3.01768 + 1.37608i −0.171948 + 0.0784097i
\(309\) 2.84184 6.71833i 0.161667 0.382192i
\(310\) 5.71256 1.85612i 0.324452 0.105421i
\(311\) 9.86263 13.5748i 0.559259 0.769754i −0.431973 0.901886i \(-0.642183\pi\)
0.991232 + 0.132133i \(0.0421825\pi\)
\(312\) −4.27970 + 0.993693i −0.242290 + 0.0562568i
\(313\) −6.18641 + 19.0398i −0.349677 + 1.07619i 0.609355 + 0.792897i \(0.291428\pi\)
−0.959032 + 0.283297i \(0.908572\pi\)
\(314\) 3.86058 11.8816i 0.217865 0.670520i
\(315\) −1.86338 0.323755i −0.104989 0.0182415i
\(316\) 5.78214 7.95843i 0.325271 0.447697i
\(317\) −15.0841 + 4.90111i −0.847205 + 0.275273i −0.700275 0.713873i \(-0.746939\pi\)
−0.146930 + 0.989147i \(0.546939\pi\)
\(318\) −4.72473 1.99855i −0.264950 0.112073i
\(319\) 0.577526 2.84202i 0.0323352 0.159122i
\(320\) 0.630432i 0.0352422i
\(321\) −22.9520 1.97908i −1.28105 0.110462i
\(322\) −6.78888 4.93241i −0.378330 0.274873i
\(323\) −4.32071 5.94695i −0.240411 0.330897i
\(324\) 8.47254 + 3.03579i 0.470697 + 0.168655i
\(325\) −11.1035 3.60775i −0.615912 0.200122i
\(326\) −1.18707 + 0.862455i −0.0657456 + 0.0477670i
\(327\) 16.7471 + 27.7929i 0.926114 + 1.53695i
\(328\) 1.21781 + 3.74802i 0.0672421 + 0.206950i
\(329\) −2.11759 −0.116746
\(330\) −3.47394 1.02342i −0.191234 0.0563374i
\(331\) −23.9417 −1.31595 −0.657977 0.753038i \(-0.728587\pi\)
−0.657977 + 0.753038i \(0.728587\pi\)
\(332\) 3.56305 + 10.9659i 0.195548 + 0.601834i
\(333\) 0.656575 + 4.58837i 0.0359801 + 0.251441i
\(334\) 11.5088 8.36164i 0.629734 0.457528i
\(335\) 1.21070 + 0.393379i 0.0661474 + 0.0214926i
\(336\) 1.13469 1.30862i 0.0619024 0.0713909i
\(337\) −14.9753 20.6117i −0.815755 1.12279i −0.990410 0.138161i \(-0.955881\pi\)
0.174654 0.984630i \(-0.444119\pi\)
\(338\) 5.31166 + 3.85915i 0.288916 + 0.209910i
\(339\) 2.38515 27.6612i 0.129544 1.50235i
\(340\) 3.47919i 0.188685i
\(341\) −27.5066 15.5540i −1.48957 0.842298i
\(342\) 2.86747 2.78300i 0.155055 0.150487i
\(343\) 0.951057 0.309017i 0.0513522 0.0166853i
\(344\) −1.84633 + 2.54125i −0.0995473 + 0.137015i
\(345\) −2.07241 8.92560i −0.111575 0.480538i
\(346\) 0.562043 1.72979i 0.0302156 0.0929941i
\(347\) 3.05031 9.38790i 0.163749 0.503969i −0.835193 0.549958i \(-0.814644\pi\)
0.998942 + 0.0459888i \(0.0146438\pi\)
\(348\) 0.342542 + 1.47528i 0.0183622 + 0.0790835i
\(349\) −2.19985 + 3.02783i −0.117755 + 0.162076i −0.863826 0.503791i \(-0.831938\pi\)
0.746070 + 0.665867i \(0.231938\pi\)
\(350\) 4.37729 1.42227i 0.233976 0.0760234i
\(351\) 4.76971 + 12.2874i 0.254588 + 0.655851i
\(352\) 2.44475 2.24125i 0.130306 0.119459i
\(353\) 11.9930i 0.638324i −0.947700 0.319162i \(-0.896599\pi\)
0.947700 0.319162i \(-0.103401\pi\)
\(354\) 1.02063 11.8365i 0.0542457 0.629102i
\(355\) −7.44451 5.40875i −0.395114 0.287067i
\(356\) 6.64328 + 9.14369i 0.352093 + 0.484615i
\(357\) −6.26206 + 7.22191i −0.331423 + 0.382224i
\(358\) −12.0756 3.92361i −0.638217 0.207369i
\(359\) −0.346004 + 0.251387i −0.0182614 + 0.0132677i −0.596879 0.802332i \(-0.703593\pi\)
0.578617 + 0.815599i \(0.303593\pi\)
\(360\) 1.87222 0.267906i 0.0986749 0.0141199i
\(361\) 5.32308 + 16.3827i 0.280162 + 0.862250i
\(362\) −25.1759 −1.32322
\(363\) 8.38149 + 17.1100i 0.439914 + 0.898040i
\(364\) 2.53662 0.132955
\(365\) 0.550742 + 1.69501i 0.0288272 + 0.0887209i
\(366\) 10.7979 + 17.9199i 0.564416 + 0.936688i
\(367\) −1.45752 + 1.05895i −0.0760820 + 0.0552768i −0.625176 0.780484i \(-0.714973\pi\)
0.549094 + 0.835761i \(0.314973\pi\)
\(368\) 7.98081 + 2.59312i 0.416029 + 0.135176i
\(369\) 10.6132 5.20933i 0.552500 0.271187i
\(370\) 0.572527 + 0.788015i 0.0297642 + 0.0409670i
\(371\) 2.39617 + 1.74092i 0.124403 + 0.0903839i
\(372\) 16.4414 + 1.41769i 0.852447 + 0.0735041i
\(373\) 1.26194i 0.0653405i 0.999466 + 0.0326703i \(0.0104011\pi\)
−0.999466 + 0.0326703i \(0.989599\pi\)
\(374\) −13.4919 + 12.3689i −0.697651 + 0.639579i
\(375\) 9.65699 + 4.08489i 0.498685 + 0.210943i
\(376\) 2.01394 0.654370i 0.103861 0.0337466i
\(377\) −1.30374 + 1.79444i −0.0671460 + 0.0924185i
\(378\) −4.36846 2.81364i −0.224689 0.144718i
\(379\) 7.75359 23.8631i 0.398275 1.22576i −0.528107 0.849178i \(-0.677098\pi\)
0.926382 0.376586i \(-0.122902\pi\)
\(380\) 0.259488 0.798622i 0.0133115 0.0409684i
\(381\) −15.6442 + 3.63238i −0.801475 + 0.186092i
\(382\) −12.8084 + 17.6292i −0.655332 + 0.901987i
\(383\) 5.66339 1.84015i 0.289386 0.0940271i −0.160727 0.986999i \(-0.551384\pi\)
0.450113 + 0.892972i \(0.351384\pi\)
\(384\) −0.674769 + 1.59521i −0.0344342 + 0.0814051i
\(385\) 1.82007 + 1.02919i 0.0927594 + 0.0524522i
\(386\) 18.7706i 0.955401i
\(387\) 8.33149 + 4.40321i 0.423514 + 0.223828i
\(388\) −5.20440 3.78122i −0.264213 0.191962i
\(389\) 15.3281 + 21.0973i 0.777166 + 1.06968i 0.995589 + 0.0938231i \(0.0299088\pi\)
−0.218423 + 0.975854i \(0.570091\pi\)
\(390\) 2.09269 + 1.81456i 0.105968 + 0.0918836i
\(391\) −44.0440 14.3108i −2.22740 0.723727i
\(392\) −0.809017 + 0.587785i −0.0408615 + 0.0296876i
\(393\) −9.51968 + 5.73624i −0.480205 + 0.289355i
\(394\) 3.12830 + 9.62792i 0.157602 + 0.485048i
\(395\) −6.20166 −0.312039
\(396\) −7.69486 6.30786i −0.386681 0.316982i
\(397\) −12.3838 −0.621526 −0.310763 0.950487i \(-0.600585\pi\)
−0.310763 + 0.950487i \(0.600585\pi\)
\(398\) −7.20565 22.1767i −0.361187 1.11162i
\(399\) −1.97604 + 1.19070i −0.0989258 + 0.0596093i
\(400\) −3.72355 + 2.70531i −0.186177 + 0.135266i
\(401\) 25.7508 + 8.36694i 1.28593 + 0.417825i 0.870666 0.491875i \(-0.163688\pi\)
0.415267 + 0.909700i \(0.363688\pi\)
\(402\) 2.64243 + 2.29123i 0.131793 + 0.114276i
\(403\) 14.2056 + 19.5524i 0.707632 + 0.973972i
\(404\) −9.34604 6.79030i −0.464983 0.337830i
\(405\) −1.59123 5.44619i −0.0790689 0.270623i
\(406\) 0.874414i 0.0433964i
\(407\) 1.02045 5.02168i 0.0505820 0.248915i
\(408\) 3.72388 8.80353i 0.184359 0.435840i
\(409\) −4.21983 + 1.37110i −0.208657 + 0.0677968i −0.411481 0.911419i \(-0.634988\pi\)
0.202824 + 0.979215i \(0.434988\pi\)
\(410\) 1.46034 2.00998i 0.0721208 0.0992658i
\(411\) 1.14970 0.266945i 0.0567103 0.0131674i
\(412\) 1.30145 4.00544i 0.0641177 0.197334i
\(413\) −2.11959 + 6.52344i −0.104298 + 0.320998i
\(414\) 4.30942 24.8030i 0.211797 1.21900i
\(415\) 4.27264 5.88079i 0.209736 0.288676i
\(416\) −2.41247 + 0.783858i −0.118281 + 0.0384318i
\(417\) 21.1628 + 8.95182i 1.03635 + 0.438372i
\(418\) −4.01948 + 1.83291i −0.196599 + 0.0896507i
\(419\) 19.3186i 0.943775i −0.881659 0.471888i \(-0.843573\pi\)
0.881659 0.471888i \(-0.156427\pi\)
\(420\) −1.08790 0.0938068i −0.0530842 0.00457730i
\(421\) −8.58284 6.23580i −0.418302 0.303914i 0.358652 0.933471i \(-0.383236\pi\)
−0.776954 + 0.629557i \(0.783236\pi\)
\(422\) −6.86390 9.44734i −0.334129 0.459889i
\(423\) −2.79915 5.70283i −0.136100 0.277281i
\(424\) −2.81686 0.915255i −0.136799 0.0444487i
\(425\) 20.5493 14.9299i 0.996786 0.724208i
\(426\) −13.0480 21.6541i −0.632178 1.04914i
\(427\) −3.73266 11.4880i −0.180636 0.555941i
\(428\) −13.3005 −0.642903
\(429\) −0.403073 14.5662i −0.0194606 0.703262i
\(430\) 1.98029 0.0954979
\(431\) −2.66569 8.20414i −0.128402 0.395180i 0.866104 0.499864i \(-0.166617\pi\)
−0.994505 + 0.104684i \(0.966617\pi\)
\(432\) 5.02411 + 1.32600i 0.241723 + 0.0637973i
\(433\) 28.1535 20.4547i 1.35297 0.982991i 0.354113 0.935203i \(-0.384783\pi\)
0.998858 0.0477878i \(-0.0152171\pi\)
\(434\) −9.06135 2.94421i −0.434959 0.141327i
\(435\) 0.625507 0.721386i 0.0299908 0.0345878i
\(436\) 11.0117 + 15.1563i 0.527364 + 0.725854i
\(437\) −9.04264 6.56986i −0.432568 0.314279i
\(438\) −0.420653 + 4.87843i −0.0200996 + 0.233100i
\(439\) 18.2973i 0.873282i 0.899636 + 0.436641i \(0.143832\pi\)
−0.899636 + 0.436641i \(0.856168\pi\)
\(440\) −2.04903 0.416382i −0.0976835 0.0198503i
\(441\) 2.08937 + 2.15279i 0.0994939 + 0.102514i
\(442\) 13.3138 4.32591i 0.633271 0.205762i
\(443\) 11.0429 15.1993i 0.524666 0.722141i −0.461640 0.887068i \(-0.652739\pi\)
0.986306 + 0.164926i \(0.0527386\pi\)
\(444\) 0.605252 + 2.60674i 0.0287240 + 0.123710i
\(445\) 2.20183 6.77655i 0.104377 0.321239i
\(446\) −2.47926 + 7.63037i −0.117396 + 0.361309i
\(447\) 5.07442 + 21.8549i 0.240012 + 1.03370i
\(448\) 0.587785 0.809017i 0.0277702 0.0382225i
\(449\) 4.70915 1.53010i 0.222238 0.0722097i −0.195781 0.980648i \(-0.562724\pi\)
0.418020 + 0.908438i \(0.362724\pi\)
\(450\) 9.61645 + 9.90836i 0.453324 + 0.467084i
\(451\) −12.9861 + 1.48265i −0.611494 + 0.0698151i
\(452\) 16.0295i 0.753964i
\(453\) 2.17403 25.2128i 0.102145 1.18460i
\(454\) −0.597813 0.434336i −0.0280567 0.0203844i
\(455\) −0.939965 1.29375i −0.0440662 0.0606520i
\(456\) 1.51138 1.74305i 0.0707769 0.0816257i
\(457\) 13.7015 + 4.45188i 0.640927 + 0.208250i 0.611410 0.791314i \(-0.290603\pi\)
0.0295179 + 0.999564i \(0.490603\pi\)
\(458\) 5.02482 3.65075i 0.234795 0.170588i
\(459\) −27.7268 7.31785i −1.29417 0.341568i
\(460\) −1.63479 5.03136i −0.0762223 0.234588i
\(461\) 15.7347 0.732840 0.366420 0.930450i \(-0.380583\pi\)
0.366420 + 0.930450i \(0.380583\pi\)
\(462\) 3.50383 + 4.55227i 0.163013 + 0.211791i
\(463\) 39.4648 1.83409 0.917043 0.398789i \(-0.130570\pi\)
0.917043 + 0.398789i \(0.130570\pi\)
\(464\) 0.270209 + 0.831617i 0.0125441 + 0.0386068i
\(465\) −5.36943 8.91094i −0.249001 0.413235i
\(466\) 17.0069 12.3563i 0.787831 0.572393i
\(467\) −16.1579 5.25002i −0.747699 0.242942i −0.0897082 0.995968i \(-0.528593\pi\)
−0.657991 + 0.753026i \(0.728593\pi\)
\(468\) 3.35306 + 6.83131i 0.154995 + 0.315778i
\(469\) −1.18689 1.63361i −0.0548054 0.0754332i
\(470\) −1.08003 0.784689i −0.0498182 0.0361950i
\(471\) −21.5587 1.85894i −0.993371 0.0856556i
\(472\) 6.85915i 0.315718i
\(473\) −7.04012 7.67935i −0.323705 0.353097i
\(474\) −15.6923 6.63782i −0.720772 0.304885i
\(475\) 5.83045 1.89443i 0.267520 0.0869224i
\(476\) −3.24383 + 4.46475i −0.148681 + 0.204642i
\(477\) −1.52103 + 8.75432i −0.0696432 + 0.400833i
\(478\) 3.08168 9.48443i 0.140953 0.433808i
\(479\) 7.29830 22.4619i 0.333468 1.02631i −0.634004 0.773330i \(-0.718590\pi\)
0.967472 0.252979i \(-0.0814103\pi\)
\(480\) 1.06364 0.246965i 0.0485485 0.0112724i
\(481\) −2.30363 + 3.17067i −0.105036 + 0.144570i
\(482\) 15.1582 4.92519i 0.690436 0.224336i
\(483\) −5.66234 + 13.3862i −0.257646 + 0.609094i
\(484\) 5.66981 + 9.42620i 0.257719 + 0.428464i
\(485\) 4.05556i 0.184153i
\(486\) 1.80286 15.4839i 0.0817793 0.702362i
\(487\) −18.1924 13.2175i −0.824374 0.598943i 0.0935878 0.995611i \(-0.470166\pi\)
−0.917962 + 0.396668i \(0.870166\pi\)
\(488\) 7.09995 + 9.77224i 0.321399 + 0.442368i
\(489\) 1.92013 + 1.66493i 0.0868312 + 0.0752906i
\(490\) 0.599576 + 0.194814i 0.0270861 + 0.00880080i
\(491\) 11.7331 8.52463i 0.529510 0.384711i −0.290665 0.956825i \(-0.593876\pi\)
0.820174 + 0.572114i \(0.193876\pi\)
\(492\) 5.84649 3.52290i 0.263580 0.158824i
\(493\) −1.49121 4.58947i −0.0671608 0.206700i
\(494\) 3.37872 0.152016
\(495\) −0.365803 + 6.26204i −0.0164416 + 0.281458i
\(496\) 9.52767 0.427805
\(497\) 4.51048 + 13.8818i 0.202323 + 0.622685i
\(498\) 17.1056 10.3073i 0.766521 0.461880i
\(499\) −28.8722 + 20.9769i −1.29250 + 0.939054i −0.999853 0.0171678i \(-0.994535\pi\)
−0.292644 + 0.956221i \(0.594535\pi\)
\(500\) 5.75746 + 1.87071i 0.257482 + 0.0836608i
\(501\) −18.6160 16.1417i −0.831699 0.721159i
\(502\) 10.6942 + 14.7193i 0.477307 + 0.656957i
\(503\) −17.0623 12.3965i −0.760769 0.552731i 0.138377 0.990380i \(-0.455811\pi\)
−0.899146 + 0.437649i \(0.855811\pi\)
\(504\) −2.65236 1.40178i −0.118146 0.0624401i
\(505\) 7.28297i 0.324088i
\(506\) −13.6993 + 24.2265i −0.609006 + 1.07700i
\(507\) 4.43025 10.4734i 0.196754 0.465142i
\(508\) −8.81861 + 2.86534i −0.391263 + 0.127129i
\(509\) −0.518631 + 0.713835i −0.0229879 + 0.0316402i −0.820356 0.571853i \(-0.806225\pi\)
0.797368 + 0.603493i \(0.206225\pi\)
\(510\) −5.86998 + 1.36293i −0.259927 + 0.0603518i
\(511\) 0.873596 2.68865i 0.0386456 0.118939i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) −5.81869 3.74770i −0.256901 0.165465i
\(514\) −4.68279 + 6.44531i −0.206549 + 0.284290i
\(515\) −2.52516 + 0.820473i −0.111272 + 0.0361544i
\(516\) 5.01080 + 2.11956i 0.220588 + 0.0933084i
\(517\) 0.796678 + 6.97790i 0.0350378 + 0.306888i
\(518\) 1.54504i 0.0678851i
\(519\) −3.13862 0.270634i −0.137770 0.0118795i
\(520\) 1.29375 + 0.939965i 0.0567347 + 0.0412202i
\(521\) 14.3316 + 19.7257i 0.627878 + 0.864200i 0.997897 0.0648241i \(-0.0206486\pi\)
−0.370018 + 0.929024i \(0.620649\pi\)
\(522\) 2.35487 1.15585i 0.103070 0.0505903i
\(523\) 37.6294 + 12.2265i 1.64542 + 0.534629i 0.977740 0.209821i \(-0.0672880\pi\)
0.667679 + 0.744450i \(0.267288\pi\)
\(524\) −5.19136 + 3.77174i −0.226786 + 0.164769i
\(525\) −4.11436 6.82807i −0.179566 0.298002i
\(526\) 1.91889 + 5.90574i 0.0836676 + 0.257502i
\(527\) −52.5807 −2.29045
\(528\) −4.73907 3.24672i −0.206242 0.141295i
\(529\) −47.4177 −2.06164
\(530\) 0.577006 + 1.77584i 0.0250635 + 0.0771376i
\(531\) −20.3700 + 2.91485i −0.883981 + 0.126494i
\(532\) −1.07759 + 0.782917i −0.0467196 + 0.0339437i
\(533\) 9.50730 + 3.08911i 0.411807 + 0.133804i
\(534\) 12.8245 14.7903i 0.554971 0.640038i
\(535\) 4.92861 + 6.78365i 0.213082 + 0.293283i
\(536\) 1.63361 + 1.18689i 0.0705613 + 0.0512658i
\(537\) −1.88930 + 21.9107i −0.0815291 + 0.945516i
\(538\) 3.21669i 0.138681i
\(539\) −1.37608 3.01768i −0.0592722 0.129981i
\(540\) −1.18543 3.05381i −0.0510127 0.131415i
\(541\) −0.990011 + 0.321674i −0.0425639 + 0.0138298i −0.330222 0.943903i \(-0.607123\pi\)
0.287658 + 0.957733i \(0.407123\pi\)
\(542\) 3.91340 5.38634i 0.168095 0.231363i
\(543\) 9.86240 + 42.4760i 0.423236 + 1.82282i
\(544\) 1.70538 5.24863i 0.0731177 0.225033i
\(545\) 3.64968 11.2326i 0.156335 0.481150i
\(546\) −0.993693 4.27970i −0.0425261 0.183154i
\(547\) 3.89861 5.36598i 0.166693 0.229433i −0.717496 0.696562i \(-0.754712\pi\)
0.884189 + 0.467130i \(0.154712\pi\)
\(548\) 0.648083 0.210575i 0.0276847 0.00899531i
\(549\) 26.0039 25.2378i 1.10982 1.07712i
\(550\) −6.33351 13.8890i −0.270062 0.592231i
\(551\) 1.16470i 0.0496179i
\(552\) 1.24864 14.4808i 0.0531456 0.616344i
\(553\) 7.95843 + 5.78214i 0.338427 + 0.245882i
\(554\) −7.55817 10.4029i −0.321116 0.441978i
\(555\) 1.10523 1.27465i 0.0469146 0.0541057i
\(556\) 12.6172 + 4.09957i 0.535088 + 0.173860i
\(557\) 6.90709 5.01829i 0.292663 0.212632i −0.431759 0.901989i \(-0.642107\pi\)
0.724422 + 0.689357i \(0.242107\pi\)
\(558\) −4.04885 28.2948i −0.171402 1.19781i
\(559\) 2.46222 + 7.57794i 0.104141 + 0.320513i
\(560\) −0.630432 −0.0266406
\(561\) 26.1537 + 17.9178i 1.10421 + 0.756491i
\(562\) −0.650629 −0.0274451
\(563\) 6.72338 + 20.6924i 0.283357 + 0.872082i 0.986886 + 0.161416i \(0.0516062\pi\)
−0.703530 + 0.710666i \(0.748394\pi\)
\(564\) −1.89297 3.14152i −0.0797086 0.132282i
\(565\) −8.17552 + 5.93986i −0.343947 + 0.249892i
\(566\) 28.3176 + 9.20093i 1.19028 + 0.386744i
\(567\) −3.03579 + 8.47254i −0.127491 + 0.355813i
\(568\) −8.57944 11.8086i −0.359985 0.495477i
\(569\) 16.9747 + 12.3328i 0.711617 + 0.517020i 0.883695 0.468064i \(-0.155048\pi\)
−0.172078 + 0.985083i \(0.555048\pi\)
\(570\) −1.44906 0.124949i −0.0606945 0.00523352i
\(571\) 42.7095i 1.78734i −0.448726 0.893669i \(-0.648122\pi\)
0.448726 0.893669i \(-0.351878\pi\)
\(572\) −0.954326 8.35871i −0.0399024 0.349495i
\(573\) 34.7610 + 14.7038i 1.45216 + 0.614261i
\(574\) −3.74802 + 1.21781i −0.156440 + 0.0508303i
\(575\) 22.7017 31.2462i 0.946727 1.30306i
\(576\) 2.95572 + 0.513545i 0.123155 + 0.0213977i
\(577\) −11.8863 + 36.5823i −0.494833 + 1.52294i 0.322383 + 0.946609i \(0.395516\pi\)
−0.817216 + 0.576331i \(0.804484\pi\)
\(578\) −4.15828 + 12.7979i −0.172962 + 0.532321i
\(579\) −31.6693 + 7.35320i −1.31613 + 0.305589i
\(580\) 0.324021 0.445977i 0.0134543 0.0185182i
\(581\) −10.9659 + 3.56305i −0.454944 + 0.147820i
\(582\) −4.34078 + 10.2619i −0.179931 + 0.425371i
\(583\) 4.83522 8.55086i 0.200254 0.354141i
\(584\) 2.82701i 0.116983i
\(585\) 2.24167 4.24156i 0.0926817 0.175367i
\(586\) 25.9493 + 18.8533i 1.07196 + 0.778822i
\(587\) 15.0522 + 20.7175i 0.621270 + 0.855104i 0.997445 0.0714444i \(-0.0227608\pi\)
−0.376175 + 0.926549i \(0.622761\pi\)
\(588\) 1.30862 + 1.13469i 0.0539665 + 0.0467938i
\(589\) −12.0695 3.92162i −0.497316 0.161588i
\(590\) −3.49837 + 2.54172i −0.144026 + 0.104641i
\(591\) 15.0185 9.04961i 0.617777 0.372251i
\(592\) 0.477443 + 1.46942i 0.0196228 + 0.0603927i
\(593\) 29.3628 1.20579 0.602893 0.797822i \(-0.294015\pi\)
0.602893 + 0.797822i \(0.294015\pi\)
\(594\) −7.62805 + 15.4536i −0.312983 + 0.634068i
\(595\) 3.47919 0.142633
\(596\) 4.00287 + 12.3196i 0.163964 + 0.504629i
\(597\) −34.5931 + 20.8446i −1.41580 + 0.853115i
\(598\) 17.2208 12.5116i 0.704211 0.511639i
\(599\) −19.8325 6.44398i −0.810336 0.263294i −0.125596 0.992082i \(-0.540084\pi\)
−0.684740 + 0.728788i \(0.740084\pi\)
\(600\) 6.02298 + 5.22247i 0.245887 + 0.213207i
\(601\) 0.292687 + 0.402849i 0.0119390 + 0.0164326i 0.814945 0.579539i \(-0.196767\pi\)
−0.803006 + 0.595971i \(0.796767\pi\)
\(602\) −2.54125 1.84633i −0.103574 0.0752507i
\(603\) 2.83055 5.35579i 0.115269 0.218105i
\(604\) 14.6106i 0.594497i
\(605\) 2.70665 6.38473i 0.110041 0.259576i
\(606\) −7.79517 + 18.4284i −0.316657 + 0.748602i
\(607\) 18.1219 5.88815i 0.735544 0.238993i 0.0827947 0.996567i \(-0.473615\pi\)
0.652749 + 0.757574i \(0.273615\pi\)
\(608\) 0.782917 1.07759i 0.0317515 0.0437021i
\(609\) −1.47528 + 0.342542i −0.0597815 + 0.0138805i
\(610\) 2.35319 7.24237i 0.0952778 0.293235i
\(611\) 1.65989 5.10860i 0.0671518 0.206672i
\(612\) −16.3118 2.83412i −0.659367 0.114562i
\(613\) 3.97925 5.47697i 0.160720 0.221213i −0.721060 0.692872i \(-0.756345\pi\)
0.881781 + 0.471660i \(0.156345\pi\)
\(614\) −5.53023 + 1.79688i −0.223182 + 0.0725162i
\(615\) −3.96325 1.67645i −0.159814 0.0676008i
\(616\) 2.24125 + 2.44475i 0.0903025 + 0.0985018i
\(617\) 3.45216i 0.138979i −0.997583 0.0694893i \(-0.977863\pi\)
0.997583 0.0694893i \(-0.0221370\pi\)
\(618\) −7.26769 0.626672i −0.292349 0.0252084i
\(619\) 11.9591 + 8.68880i 0.480677 + 0.349232i 0.801588 0.597877i \(-0.203989\pi\)
−0.320911 + 0.947109i \(0.603989\pi\)
\(620\) −3.53056 4.85940i −0.141791 0.195158i
\(621\) −43.5350 + 2.44558i −1.74700 + 0.0981377i
\(622\) −15.9581 5.18509i −0.639861 0.207903i
\(623\) −9.14369 + 6.64328i −0.366334 + 0.266157i
\(624\) 2.26756 + 3.76317i 0.0907750 + 0.150647i
\(625\) 5.93198 + 18.2568i 0.237279 + 0.730271i
\(626\) 20.0197 0.800146
\(627\) 4.66702 + 6.06352i 0.186383 + 0.242154i
\(628\) −12.4931 −0.498529
\(629\) −2.63488 8.10933i −0.105060 0.323340i
\(630\) 0.267906 + 1.87222i 0.0106737 + 0.0745912i
\(631\) 6.83413 4.96529i 0.272063 0.197665i −0.443385 0.896331i \(-0.646223\pi\)
0.715448 + 0.698666i \(0.246223\pi\)
\(632\) −9.35570 3.03985i −0.372150 0.120919i
\(633\) −13.2504 + 15.2815i −0.526656 + 0.607383i
\(634\) 9.32246 + 12.8313i 0.370242 + 0.509594i
\(635\) 4.72922 + 3.43598i 0.187673 + 0.136353i
\(636\) −0.440713 + 5.11107i −0.0174754 + 0.202667i
\(637\) 2.53662i 0.100504i
\(638\) −2.88138 + 0.328972i −0.114075 + 0.0130241i
\(639\) −31.4227 + 30.4969i −1.24306 + 1.20644i
\(640\) 0.599576 0.194814i 0.0237003 0.00770070i
\(641\) 1.42345 1.95921i 0.0562229 0.0773841i −0.779980 0.625805i \(-0.784771\pi\)
0.836203 + 0.548421i \(0.184771\pi\)
\(642\) 5.21032 + 22.4402i 0.205635 + 0.885643i
\(643\) −13.3203 + 40.9956i −0.525300 + 1.61671i 0.238421 + 0.971162i \(0.423370\pi\)
−0.763721 + 0.645546i \(0.776630\pi\)
\(644\) −2.59312 + 7.98081i −0.102183 + 0.314488i
\(645\) −0.775757 3.34108i −0.0305454 0.131555i
\(646\) −4.32071 + 5.94695i −0.169996 + 0.233980i
\(647\) 4.44343 1.44376i 0.174689 0.0567599i −0.220366 0.975417i \(-0.570725\pi\)
0.395056 + 0.918657i \(0.370725\pi\)
\(648\) 0.269045 8.99598i 0.0105691 0.353395i
\(649\) 22.2936 + 4.53028i 0.875100 + 0.177829i
\(650\) 11.6749i 0.457928i
\(651\) −1.41769 + 16.4414i −0.0555638 + 0.644389i
\(652\) 1.18707 + 0.862455i 0.0464891 + 0.0337763i
\(653\) −4.56110 6.27782i −0.178490 0.245670i 0.710393 0.703806i \(-0.248517\pi\)
−0.888882 + 0.458136i \(0.848517\pi\)
\(654\) 21.2575 24.5159i 0.831234 0.958647i
\(655\) 3.84740 + 1.25010i 0.150331 + 0.0488453i
\(656\) 3.18826 2.31641i 0.124481 0.0904405i
\(657\) 8.39553 1.20136i 0.327541 0.0468695i
\(658\) 0.654370 + 2.01394i 0.0255100 + 0.0785117i
\(659\) 44.5440 1.73519 0.867594 0.497273i \(-0.165665\pi\)
0.867594 + 0.497273i \(0.165665\pi\)
\(660\) 0.100177 + 3.62017i 0.00389938 + 0.140915i
\(661\) −22.6199 −0.879812 −0.439906 0.898044i \(-0.644988\pi\)
−0.439906 + 0.898044i \(0.644988\pi\)
\(662\) 7.39838 + 22.7699i 0.287546 + 0.884977i
\(663\) −12.5141 20.7680i −0.486006 0.806561i
\(664\) 9.32819 6.77733i 0.362004 0.263011i
\(665\) 0.798622 + 0.259488i 0.0309692 + 0.0100625i
\(666\) 4.16091 2.04233i 0.161232 0.0791385i
\(667\) −4.31297 5.93629i −0.166999 0.229854i
\(668\) −11.5088 8.36164i −0.445289 0.323521i
\(669\) 13.8450 + 1.19381i 0.535277 + 0.0461554i
\(670\) 1.27300i 0.0491804i
\(671\) −36.4510 + 16.6219i −1.40718 + 0.641682i
\(672\) −1.59521 0.674769i −0.0615365 0.0260298i
\(673\) −16.5856 + 5.38899i −0.639328 + 0.207730i −0.610703 0.791860i \(-0.709113\pi\)
−0.0286253 + 0.999590i \(0.509113\pi\)
\(674\) −14.9753 + 20.6117i −0.576826 + 0.793933i
\(675\) 12.9499 20.1061i 0.498443 0.773883i
\(676\) 2.02887 6.24423i 0.0780336 0.240163i
\(677\) −2.42101 + 7.45110i −0.0930470 + 0.286369i −0.986740 0.162310i \(-0.948105\pi\)
0.893693 + 0.448679i \(0.148105\pi\)
\(678\) −27.0445 + 6.27938i −1.03864 + 0.241158i
\(679\) 3.78122 5.20440i 0.145110 0.199726i
\(680\) −3.30890 + 1.07513i −0.126891 + 0.0412293i
\(681\) −0.498612 + 1.17876i −0.0191069 + 0.0451701i
\(682\) −6.29276 + 30.9668i −0.240962 + 1.18578i
\(683\) 12.7730i 0.488744i 0.969682 + 0.244372i \(0.0785817\pi\)
−0.969682 + 0.244372i \(0.921418\pi\)
\(684\) −3.53289 1.86714i −0.135083 0.0713917i
\(685\) −0.347552 0.252511i −0.0132793 0.00964796i
\(686\) −0.587785 0.809017i −0.0224417 0.0308884i
\(687\) −8.12785 7.04758i −0.310097 0.268882i
\(688\) 2.98742 + 0.970672i 0.113894 + 0.0370065i
\(689\) −6.07816 + 4.41604i −0.231559 + 0.168238i
\(690\) −7.84834 + 4.72914i −0.298781 + 0.180035i
\(691\) 1.20378 + 3.70486i 0.0457941 + 0.140940i 0.971339 0.237698i \(-0.0763928\pi\)
−0.925545 + 0.378637i \(0.876393\pi\)
\(692\) −1.81881 −0.0691407
\(693\) 6.30786 7.69486i 0.239616 0.292304i
\(694\) −9.87102 −0.374699
\(695\) −2.58450 7.95427i −0.0980356 0.301723i
\(696\) 1.29723 0.781665i 0.0491713 0.0296289i
\(697\) −17.5952 + 12.7836i −0.666465 + 0.484215i
\(698\) 3.55943 + 1.15653i 0.134727 + 0.0437753i
\(699\) −27.5094 23.8531i −1.04050 0.902209i
\(700\) −2.70531 3.72355i −0.102251 0.140737i
\(701\) 32.4724 + 23.5926i 1.22647 + 0.891080i 0.996620 0.0821466i \(-0.0261776\pi\)
0.229847 + 0.973227i \(0.426178\pi\)
\(702\) 10.2121 8.33327i 0.385429 0.314519i
\(703\) 2.05796i 0.0776173i
\(704\) −2.88702 1.63251i −0.108809 0.0615276i
\(705\) −0.900812 + 2.12959i −0.0339266 + 0.0802050i
\(706\) −11.4060 + 3.70605i −0.429272 + 0.139479i
\(707\) 6.79030 9.34604i 0.255375 0.351494i
\(708\) −11.5726 + 2.68700i −0.434923 + 0.100984i
\(709\) −0.860744 + 2.64910i −0.0323259 + 0.0994890i −0.965918 0.258850i \(-0.916657\pi\)
0.933592 + 0.358339i \(0.116657\pi\)
\(710\) −2.84355 + 8.75154i −0.106717 + 0.328440i
\(711\) −5.05182 + 29.0759i −0.189458 + 1.09043i
\(712\) 6.64328 9.14369i 0.248968 0.342674i
\(713\) −76.0385 + 24.7064i −2.84767 + 0.925262i
\(714\) 8.80353 + 3.72388i 0.329464 + 0.139363i
\(715\) −3.90956 + 3.58412i −0.146209 + 0.134039i
\(716\) 12.6971i 0.474512i
\(717\) −17.2091 1.48389i −0.642684 0.0554168i
\(718\) 0.346004 + 0.251387i 0.0129128 + 0.00938168i
\(719\) −13.3890 18.4284i −0.499326 0.687264i 0.482748 0.875760i \(-0.339639\pi\)
−0.982074 + 0.188496i \(0.939639\pi\)
\(720\) −0.833343 1.69780i −0.0310569 0.0632734i
\(721\) 4.00544 + 1.30145i 0.149170 + 0.0484684i
\(722\) 13.9360 10.1251i 0.518644 0.376817i
\(723\) −14.2477 23.6450i −0.529877 0.879367i
\(724\) 7.77978 + 23.9437i 0.289133 + 0.889861i
\(725\) 4.02454 0.149468
\(726\) 13.6825 13.2585i 0.507806 0.492071i
\(727\) 34.4923 1.27925 0.639624 0.768688i \(-0.279090\pi\)
0.639624 + 0.768688i \(0.279090\pi\)
\(728\) −0.783858 2.41247i −0.0290517 0.0894120i
\(729\) −26.8301 + 3.02391i −0.993709 + 0.111997i
\(730\) 1.44186 1.04757i 0.0533657 0.0387725i
\(731\) −16.4868 5.35688i −0.609786 0.198132i
\(732\) 13.7061 15.8070i 0.506592 0.584243i
\(733\) 8.22700 + 11.3235i 0.303871 + 0.418243i 0.933458 0.358688i \(-0.116776\pi\)
−0.629586 + 0.776930i \(0.716776\pi\)
\(734\) 1.45752 + 1.05895i 0.0537981 + 0.0390866i
\(735\) 0.0938068 1.08790i 0.00346011 0.0401279i
\(736\) 8.39152i 0.309316i
\(737\) −4.93657 + 4.52565i −0.181841 + 0.166705i
\(738\) −8.23402 8.48396i −0.303098 0.312299i
\(739\) 47.1724 15.3272i 1.73526 0.563821i 0.741070 0.671428i \(-0.234319\pi\)
0.994194 + 0.107606i \(0.0343186\pi\)
\(740\) 0.572527 0.788015i 0.0210465 0.0289680i
\(741\) −1.32358 5.70047i −0.0486228 0.209412i
\(742\) 0.915255 2.81686i 0.0336001 0.103410i
\(743\) 3.78938 11.6625i 0.139019 0.427856i −0.857175 0.515026i \(-0.827782\pi\)
0.996193 + 0.0871698i \(0.0277823\pi\)
\(744\) −3.73236 16.0748i −0.136835 0.589330i
\(745\) 4.80005 6.60670i 0.175860 0.242051i
\(746\) 1.20017 0.389960i 0.0439414 0.0142774i
\(747\) −24.0910 24.8223i −0.881445 0.908201i
\(748\) 15.9327 + 9.00941i 0.582558 + 0.329417i
\(749\) 13.3005i 0.485989i
\(750\) 0.900785 10.4466i 0.0328920 0.381458i
\(751\) 33.8547 + 24.5969i 1.23538 + 0.897554i 0.997281 0.0736882i \(-0.0234770\pi\)
0.238095 + 0.971242i \(0.423477\pi\)
\(752\) −1.24469 1.71316i −0.0453890 0.0624726i
\(753\) 20.6447 23.8091i 0.752334 0.867653i
\(754\) 2.10949 + 0.685416i 0.0768232 + 0.0249614i
\(755\) −7.45185 + 5.41409i −0.271201 + 0.197039i
\(756\) −1.32600 + 5.02411i −0.0482262 + 0.182725i
\(757\) −10.5531 32.4791i −0.383559 1.18047i −0.937521 0.347930i \(-0.886885\pi\)
0.553962 0.832542i \(-0.313115\pi\)
\(758\) −25.0911 −0.911351
\(759\) 46.2408 + 13.6225i 1.67843 + 0.494465i
\(760\) −0.839721 −0.0304599
\(761\) 14.6982 + 45.2365i 0.532810 + 1.63982i 0.748334 + 0.663322i \(0.230854\pi\)
−0.215524 + 0.976498i \(0.569146\pi\)
\(762\) 8.28891 + 13.7560i 0.300276 + 0.498328i
\(763\) −15.1563 + 11.0117i −0.548694 + 0.398650i
\(764\) 20.7243 + 6.73375i 0.749781 + 0.243618i
\(765\) 4.59900 + 9.36973i 0.166277 + 0.338763i
\(766\) −3.50017 4.81756i −0.126466 0.174066i
\(767\) −14.0761 10.2269i −0.508259 0.369272i
\(768\) 1.72565 + 0.148798i 0.0622689 + 0.00536927i
\(769\) 53.6365i 1.93418i 0.254434 + 0.967090i \(0.418111\pi\)
−0.254434 + 0.967090i \(0.581889\pi\)
\(770\) 0.416382 2.04903i 0.0150054 0.0738418i
\(771\) 12.7088 + 5.37578i 0.457695 + 0.193604i
\(772\) −17.8519 + 5.80045i −0.642506 + 0.208763i
\(773\) 22.4085 30.8427i 0.805979 1.10934i −0.185952 0.982559i \(-0.559537\pi\)
0.991931 0.126777i \(-0.0404632\pi\)