Properties

Label 731.2.n.a.208.11
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.11
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.54

$q$-expansion

\(f(q)\) \(=\) \(q-2.16713i q^{2} +(-3.18659 - 0.853843i) q^{3} -2.69647 q^{4} +(2.45506 + 0.657832i) q^{5} +(-1.85039 + 6.90576i) q^{6} +(2.85934 - 0.766159i) q^{7} +1.50935i q^{8} +(6.82721 + 3.94169i) q^{9} +O(q^{10})\) \(q-2.16713i q^{2} +(-3.18659 - 0.853843i) q^{3} -2.69647 q^{4} +(2.45506 + 0.657832i) q^{5} +(-1.85039 + 6.90576i) q^{6} +(2.85934 - 0.766159i) q^{7} +1.50935i q^{8} +(6.82721 + 3.94169i) q^{9} +(1.42561 - 5.32045i) q^{10} +(-4.64082 - 4.64082i) q^{11} +(8.59254 + 2.30236i) q^{12} +(-0.964055 + 1.66979i) q^{13} +(-1.66037 - 6.19658i) q^{14} +(-7.26158 - 4.19247i) q^{15} -2.12199 q^{16} +(-4.03817 - 0.832563i) q^{17} +(8.54217 - 14.7955i) q^{18} +(3.54102 - 2.04441i) q^{19} +(-6.62000 - 1.77382i) q^{20} -9.76573 q^{21} +(-10.0573 + 10.0573i) q^{22} +(0.0551197 - 0.205710i) q^{23} +(1.28874 - 4.80966i) q^{24} +(1.26445 + 0.730033i) q^{25} +(3.61866 + 2.08924i) q^{26} +(-11.3917 - 11.3917i) q^{27} +(-7.71014 + 2.06593i) q^{28} +(-1.74026 - 6.49473i) q^{29} +(-9.08565 + 15.7368i) q^{30} +(1.98698 + 0.532410i) q^{31} +7.61732i q^{32} +(10.8258 + 18.7509i) q^{33} +(-1.80428 + 8.75126i) q^{34} +7.52387 q^{35} +(-18.4094 - 10.6287i) q^{36} +(3.31736 + 0.888885i) q^{37} +(-4.43051 - 7.67386i) q^{38} +(4.49778 - 4.49778i) q^{39} +(-0.992895 + 3.70554i) q^{40} +(-0.466820 - 0.466820i) q^{41} +21.1636i q^{42} +(1.44514 - 6.39622i) q^{43} +(12.5138 + 12.5138i) q^{44} +(14.1682 + 14.1682i) q^{45} +(-0.445800 - 0.119452i) q^{46} -12.3145 q^{47} +(6.76189 + 1.81184i) q^{48} +(1.52667 - 0.881424i) q^{49} +(1.58208 - 2.74024i) q^{50} +(12.1571 + 6.10100i) q^{51} +(2.59955 - 4.50255i) q^{52} +(-2.69267 + 1.55461i) q^{53} +(-24.6873 + 24.6873i) q^{54} +(-8.34062 - 14.4464i) q^{55} +(1.15640 + 4.31574i) q^{56} +(-13.0294 + 3.49121i) q^{57} +(-14.0749 + 3.77137i) q^{58} +10.8822i q^{59} +(19.5806 + 11.3049i) q^{60} +(3.29309 - 0.882381i) q^{61} +(1.15380 - 4.30605i) q^{62} +(22.5413 + 6.03992i) q^{63} +12.2638 q^{64} +(-3.46525 + 3.46525i) q^{65} +(40.6358 - 23.4611i) q^{66} +(-6.63191 - 11.4868i) q^{67} +(10.8888 + 2.24498i) q^{68} +(-0.351287 + 0.608448i) q^{69} -16.3052i q^{70} +(1.60398 + 5.98613i) q^{71} +(-5.94937 + 10.3046i) q^{72} +(2.05616 + 7.67369i) q^{73} +(1.92633 - 7.18917i) q^{74} +(-3.40596 - 3.40596i) q^{75} +(-9.54825 + 5.51269i) q^{76} +(-16.8253 - 9.71410i) q^{77} +(-9.74730 - 9.74730i) q^{78} +(4.09306 - 1.09673i) q^{79} +(-5.20961 - 1.39591i) q^{80} +(14.7488 + 25.5456i) q^{81} +(-1.01166 + 1.01166i) q^{82} +(-7.64014 + 4.41104i) q^{83} +26.3330 q^{84} +(-9.36627 - 4.70043i) q^{85} +(-13.8615 - 3.13181i) q^{86} +22.1819i q^{87} +(7.00461 - 7.00461i) q^{88} +(-0.143600 - 0.248723i) q^{89} +(30.7045 - 30.7045i) q^{90} +(-1.47724 + 5.51313i) q^{91} +(-0.148629 + 0.554690i) q^{92} +(-5.87709 - 3.39314i) q^{93} +26.6873i q^{94} +(10.0383 - 2.68975i) q^{95} +(6.50400 - 24.2733i) q^{96} +(1.26242 - 1.26242i) q^{97} +(-1.91016 - 3.30850i) q^{98} +(-13.3912 - 49.9765i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.16713i 1.53240i −0.642605 0.766198i \(-0.722146\pi\)
0.642605 0.766198i \(-0.277854\pi\)
\(3\) −3.18659 0.853843i −1.83978 0.492967i −0.840937 0.541133i \(-0.817996\pi\)
−0.998839 + 0.0481664i \(0.984662\pi\)
\(4\) −2.69647 −1.34824
\(5\) 2.45506 + 0.657832i 1.09794 + 0.294191i 0.761924 0.647666i \(-0.224255\pi\)
0.336012 + 0.941858i \(0.390922\pi\)
\(6\) −1.85039 + 6.90576i −0.755420 + 2.81926i
\(7\) 2.85934 0.766159i 1.08073 0.289581i 0.325835 0.945426i \(-0.394354\pi\)
0.754895 + 0.655846i \(0.227688\pi\)
\(8\) 1.50935i 0.533634i
\(9\) 6.82721 + 3.94169i 2.27574 + 1.31390i
\(10\) 1.42561 5.32045i 0.450817 1.68247i
\(11\) −4.64082 4.64082i −1.39926 1.39926i −0.802184 0.597077i \(-0.796329\pi\)
−0.597077 0.802184i \(-0.703671\pi\)
\(12\) 8.59254 + 2.30236i 2.48045 + 0.664635i
\(13\) −0.964055 + 1.66979i −0.267381 + 0.463117i −0.968185 0.250237i \(-0.919491\pi\)
0.700804 + 0.713354i \(0.252825\pi\)
\(14\) −1.66037 6.19658i −0.443752 1.65611i
\(15\) −7.26158 4.19247i −1.87493 1.08249i
\(16\) −2.12199 −0.530497
\(17\) −4.03817 0.832563i −0.979401 0.201926i
\(18\) 8.54217 14.7955i 2.01341 3.48733i
\(19\) 3.54102 2.04441i 0.812365 0.469019i −0.0354112 0.999373i \(-0.511274\pi\)
0.847777 + 0.530353i \(0.177941\pi\)
\(20\) −6.62000 1.77382i −1.48028 0.396639i
\(21\) −9.76573 −2.13106
\(22\) −10.0573 + 10.0573i −2.14422 + 2.14422i
\(23\) 0.0551197 0.205710i 0.0114933 0.0428934i −0.959941 0.280202i \(-0.909599\pi\)
0.971434 + 0.237309i \(0.0762652\pi\)
\(24\) 1.28874 4.80966i 0.263064 0.981768i
\(25\) 1.26445 + 0.730033i 0.252891 + 0.146007i
\(26\) 3.61866 + 2.08924i 0.709678 + 0.409733i
\(27\) −11.3917 11.3917i −2.19233 2.19233i
\(28\) −7.71014 + 2.06593i −1.45708 + 0.390423i
\(29\) −1.74026 6.49473i −0.323158 1.20604i −0.916151 0.400833i \(-0.868721\pi\)
0.592993 0.805207i \(-0.297946\pi\)
\(30\) −9.08565 + 15.7368i −1.65881 + 2.87314i
\(31\) 1.98698 + 0.532410i 0.356872 + 0.0956236i 0.432801 0.901490i \(-0.357525\pi\)
−0.0759285 + 0.997113i \(0.524192\pi\)
\(32\) 7.61732i 1.34656i
\(33\) 10.8258 + 18.7509i 1.88454 + 3.26412i
\(34\) −1.80428 + 8.75126i −0.309431 + 1.50083i
\(35\) 7.52387 1.27177
\(36\) −18.4094 10.6287i −3.06823 1.77144i
\(37\) 3.31736 + 0.888885i 0.545371 + 0.146132i 0.520977 0.853571i \(-0.325568\pi\)
0.0243941 + 0.999702i \(0.492234\pi\)
\(38\) −4.43051 7.67386i −0.718723 1.24486i
\(39\) 4.49778 4.49778i 0.720222 0.720222i
\(40\) −0.992895 + 3.70554i −0.156991 + 0.585897i
\(41\) −0.466820 0.466820i −0.0729050 0.0729050i 0.669714 0.742619i \(-0.266417\pi\)
−0.742619 + 0.669714i \(0.766417\pi\)
\(42\) 21.1636i 3.26562i
\(43\) 1.44514 6.39622i 0.220381 0.975414i
\(44\) 12.5138 + 12.5138i 1.88653 + 1.88653i
\(45\) 14.1682 + 14.1682i 2.11208 + 2.11208i
\(46\) −0.445800 0.119452i −0.0657297 0.0176122i
\(47\) −12.3145 −1.79626 −0.898130 0.439730i \(-0.855074\pi\)
−0.898130 + 0.439730i \(0.855074\pi\)
\(48\) 6.76189 + 1.81184i 0.975995 + 0.261517i
\(49\) 1.52667 0.881424i 0.218096 0.125918i
\(50\) 1.58208 2.74024i 0.223740 0.387529i
\(51\) 12.1571 + 6.10100i 1.70234 + 0.854311i
\(52\) 2.59955 4.50255i 0.360492 0.624391i
\(53\) −2.69267 + 1.55461i −0.369866 + 0.213542i −0.673400 0.739278i \(-0.735167\pi\)
0.303534 + 0.952821i \(0.401834\pi\)
\(54\) −24.6873 + 24.6873i −3.35951 + 3.35951i
\(55\) −8.34062 14.4464i −1.12465 1.94795i
\(56\) 1.15640 + 4.31574i 0.154530 + 0.576715i
\(57\) −13.0294 + 3.49121i −1.72578 + 0.462422i
\(58\) −14.0749 + 3.77137i −1.84813 + 0.495205i
\(59\) 10.8822i 1.41674i 0.705844 + 0.708368i \(0.250568\pi\)
−0.705844 + 0.708368i \(0.749432\pi\)
\(60\) 19.5806 + 11.3049i 2.52785 + 1.45945i
\(61\) 3.29309 0.882381i 0.421637 0.112977i −0.0417609 0.999128i \(-0.513297\pi\)
0.463398 + 0.886150i \(0.346630\pi\)
\(62\) 1.15380 4.30605i 0.146533 0.546869i
\(63\) 22.5413 + 6.03992i 2.83994 + 0.760959i
\(64\) 12.2638 1.53297
\(65\) −3.46525 + 3.46525i −0.429812 + 0.429812i
\(66\) 40.6358 23.4611i 5.00192 2.88786i
\(67\) −6.63191 11.4868i −0.810216 1.40334i −0.912712 0.408602i \(-0.866016\pi\)
0.102496 0.994733i \(-0.467317\pi\)
\(68\) 10.8888 + 2.24498i 1.32046 + 0.272244i
\(69\) −0.351287 + 0.608448i −0.0422900 + 0.0732485i
\(70\) 16.3052i 1.94885i
\(71\) 1.60398 + 5.98613i 0.190357 + 0.710423i 0.993420 + 0.114528i \(0.0365357\pi\)
−0.803063 + 0.595894i \(0.796798\pi\)
\(72\) −5.94937 + 10.3046i −0.701140 + 1.21441i
\(73\) 2.05616 + 7.67369i 0.240655 + 0.898137i 0.975518 + 0.219921i \(0.0705800\pi\)
−0.734863 + 0.678216i \(0.762753\pi\)
\(74\) 1.92633 7.18917i 0.223932 0.835724i
\(75\) −3.40596 3.40596i −0.393286 0.393286i
\(76\) −9.54825 + 5.51269i −1.09526 + 0.632349i
\(77\) −16.8253 9.71410i −1.91742 1.10702i
\(78\) −9.74730 9.74730i −1.10366 1.10366i
\(79\) 4.09306 1.09673i 0.460506 0.123392i −0.0211052 0.999777i \(-0.506719\pi\)
0.481611 + 0.876385i \(0.340052\pi\)
\(80\) −5.20961 1.39591i −0.582452 0.156067i
\(81\) 14.7488 + 25.5456i 1.63875 + 2.83840i
\(82\) −1.01166 + 1.01166i −0.111719 + 0.111719i
\(83\) −7.64014 + 4.41104i −0.838615 + 0.484174i −0.856793 0.515660i \(-0.827547\pi\)
0.0181784 + 0.999835i \(0.494213\pi\)
\(84\) 26.3330 2.87317
\(85\) −9.36627 4.70043i −1.01591 0.509833i
\(86\) −13.8615 3.13181i −1.49472 0.337711i
\(87\) 22.1819i 2.37815i
\(88\) 7.00461 7.00461i 0.746694 0.746694i
\(89\) −0.143600 0.248723i −0.0152216 0.0263646i 0.858314 0.513124i \(-0.171512\pi\)
−0.873536 + 0.486760i \(0.838179\pi\)
\(90\) 30.7045 30.7045i 3.23654 3.23654i
\(91\) −1.47724 + 5.51313i −0.154857 + 0.577933i
\(92\) −0.148629 + 0.554690i −0.0154956 + 0.0578304i
\(93\) −5.87709 3.39314i −0.609426 0.351852i
\(94\) 26.6873i 2.75258i
\(95\) 10.0383 2.68975i 1.02991 0.275963i
\(96\) 6.50400 24.2733i 0.663812 2.47738i
\(97\) 1.26242 1.26242i 0.128179 0.128179i −0.640107 0.768286i \(-0.721110\pi\)
0.768286 + 0.640107i \(0.221110\pi\)
\(98\) −1.91016 3.30850i −0.192956 0.334209i
\(99\) −13.3912 49.9765i −1.34586 5.02283i
\(100\) −3.40956 1.96851i −0.340956 0.196851i
\(101\) 0.617635 1.06978i 0.0614570 0.106447i −0.833660 0.552278i \(-0.813759\pi\)
0.895117 + 0.445832i \(0.147092\pi\)
\(102\) 13.2217 26.3461i 1.30914 2.60865i
\(103\) 0.633452 1.09717i 0.0624159 0.108107i −0.833129 0.553079i \(-0.813453\pi\)
0.895545 + 0.444971i \(0.146786\pi\)
\(104\) −2.52029 1.45509i −0.247135 0.142684i
\(105\) −23.9754 6.42420i −2.33976 0.626938i
\(106\) 3.36905 + 5.83537i 0.327232 + 0.566782i
\(107\) 2.96537 2.96537i 0.286673 0.286673i −0.549090 0.835763i \(-0.685026\pi\)
0.835763 + 0.549090i \(0.185026\pi\)
\(108\) 30.7173 + 30.7173i 2.95577 + 2.95577i
\(109\) 1.79293 6.69129i 0.171731 0.640909i −0.825354 0.564615i \(-0.809025\pi\)
0.997085 0.0762940i \(-0.0243087\pi\)
\(110\) −31.3073 + 18.0753i −2.98503 + 1.72341i
\(111\) −9.81210 5.66502i −0.931323 0.537699i
\(112\) −6.06749 + 1.62578i −0.573324 + 0.153622i
\(113\) −10.0143 10.0143i −0.942070 0.942070i 0.0563416 0.998412i \(-0.482056\pi\)
−0.998412 + 0.0563416i \(0.982056\pi\)
\(114\) 7.56592 + 28.2364i 0.708613 + 2.64458i
\(115\) 0.270645 0.468770i 0.0252377 0.0437130i
\(116\) 4.69255 + 17.5128i 0.435693 + 1.62603i
\(117\) −13.1636 + 7.60001i −1.21698 + 0.702621i
\(118\) 23.5831 2.17100
\(119\) −12.1844 + 0.713297i −1.11694 + 0.0653878i
\(120\) 6.32789 10.9602i 0.577655 1.00053i
\(121\) 32.0745i 2.91586i
\(122\) −1.91224 7.13657i −0.173126 0.646115i
\(123\) 1.08897 + 1.88615i 0.0981891 + 0.170069i
\(124\) −5.35783 1.43563i −0.481148 0.128923i
\(125\) −6.36207 6.36207i −0.569041 0.569041i
\(126\) 13.0893 48.8500i 1.16609 4.35190i
\(127\) 5.46920i 0.485313i −0.970112 0.242657i \(-0.921981\pi\)
0.970112 0.242657i \(-0.0780188\pi\)
\(128\) 11.3426i 1.00256i
\(129\) −10.0664 + 19.1482i −0.886299 + 1.68590i
\(130\) 7.50967 + 7.50967i 0.658642 + 0.658642i
\(131\) 12.0197 12.0197i 1.05017 1.05017i 0.0514962 0.998673i \(-0.483601\pi\)
0.998673 0.0514962i \(-0.0163990\pi\)
\(132\) −29.1916 50.5613i −2.54080 4.40080i
\(133\) 8.55865 8.55865i 0.742129 0.742129i
\(134\) −24.8934 + 14.3722i −2.15047 + 1.24157i
\(135\) −20.4734 35.4610i −1.76207 3.05200i
\(136\) 1.25663 6.09500i 0.107755 0.522642i
\(137\) 4.86770 0.415876 0.207938 0.978142i \(-0.433325\pi\)
0.207938 + 0.978142i \(0.433325\pi\)
\(138\) 1.31859 + 0.761287i 0.112246 + 0.0648051i
\(139\) 5.71520 + 1.53138i 0.484757 + 0.129890i 0.492917 0.870077i \(-0.335931\pi\)
−0.00815993 + 0.999967i \(0.502597\pi\)
\(140\) −20.2879 −1.71464
\(141\) 39.2413 + 10.5147i 3.30472 + 0.885496i
\(142\) 12.9727 3.47604i 1.08865 0.291702i
\(143\) 12.2232 3.27520i 1.02216 0.273886i
\(144\) −14.4872 8.36421i −1.20727 0.697018i
\(145\) 17.0897i 1.41923i
\(146\) 16.6299 4.45597i 1.37630 0.368779i
\(147\) −5.61747 + 1.50520i −0.463321 + 0.124146i
\(148\) −8.94517 2.39685i −0.735289 0.197020i
\(149\) 4.63757 + 8.03250i 0.379924 + 0.658048i 0.991051 0.133485i \(-0.0426167\pi\)
−0.611127 + 0.791533i \(0.709283\pi\)
\(150\) −7.38117 + 7.38117i −0.602670 + 0.602670i
\(151\) 18.2811i 1.48769i −0.668352 0.743846i \(-0.733000\pi\)
0.668352 0.743846i \(-0.267000\pi\)
\(152\) 3.08572 + 5.34462i 0.250285 + 0.433506i
\(153\) −24.2877 21.6013i −1.96355 1.74636i
\(154\) −21.0518 + 36.4627i −1.69640 + 2.93825i
\(155\) 4.52792 + 2.61420i 0.363691 + 0.209977i
\(156\) −12.1281 + 12.1281i −0.971029 + 0.971029i
\(157\) −0.977274 + 1.69269i −0.0779949 + 0.135091i −0.902385 0.430931i \(-0.858185\pi\)
0.824390 + 0.566022i \(0.191518\pi\)
\(158\) −2.37677 8.87022i −0.189086 0.705677i
\(159\) 9.90781 2.65479i 0.785741 0.210539i
\(160\) −5.01091 + 18.7010i −0.396148 + 1.47844i
\(161\) 0.630425i 0.0496844i
\(162\) 55.3608 31.9626i 4.34955 2.51122i
\(163\) −2.56546 + 0.687412i −0.200942 + 0.0538423i −0.357886 0.933765i \(-0.616502\pi\)
0.156944 + 0.987607i \(0.449836\pi\)
\(164\) 1.25877 + 1.25877i 0.0982931 + 0.0982931i
\(165\) 14.2432 + 53.1562i 1.10883 + 4.13821i
\(166\) 9.55931 + 16.5572i 0.741947 + 1.28509i
\(167\) 5.10427 + 1.36768i 0.394980 + 0.105835i 0.450842 0.892604i \(-0.351124\pi\)
−0.0558616 + 0.998439i \(0.517791\pi\)
\(168\) 14.7399i 1.13720i
\(169\) 4.64120 + 8.03879i 0.357015 + 0.618368i
\(170\) −10.1865 + 20.2980i −0.781266 + 1.55678i
\(171\) 32.2337 2.46497
\(172\) −3.89677 + 17.2472i −0.297126 + 1.31509i
\(173\) 12.4164 12.4164i 0.943998 0.943998i −0.0545149 0.998513i \(-0.517361\pi\)
0.998513 + 0.0545149i \(0.0173612\pi\)
\(174\) 48.0712 3.64427
\(175\) 4.17483 + 1.11864i 0.315587 + 0.0845614i
\(176\) 9.84777 + 9.84777i 0.742303 + 0.742303i
\(177\) 9.29165 34.6769i 0.698403 2.60648i
\(178\) −0.539017 + 0.311201i −0.0404010 + 0.0233255i
\(179\) −12.4190 7.17009i −0.928236 0.535917i −0.0419830 0.999118i \(-0.513368\pi\)
−0.886253 + 0.463201i \(0.846701\pi\)
\(180\) −38.2042 38.2042i −2.84758 2.84758i
\(181\) 14.1328 3.78688i 1.05048 0.281476i 0.308032 0.951376i \(-0.400330\pi\)
0.742452 + 0.669900i \(0.233663\pi\)
\(182\) 11.9477 + 3.20137i 0.885622 + 0.237302i
\(183\) −11.2471 −0.831412
\(184\) 0.310487 + 0.0831947i 0.0228894 + 0.00613320i
\(185\) 7.55959 + 4.36453i 0.555792 + 0.320887i
\(186\) −7.35338 + 12.7364i −0.539176 + 0.933881i
\(187\) 14.8767 + 22.6042i 1.08789 + 1.65298i
\(188\) 33.2058 2.42178
\(189\) −41.3005 23.8449i −3.00417 1.73446i
\(190\) −5.82905 21.7543i −0.422884 1.57822i
\(191\) −1.41580 2.45223i −0.102443 0.177437i 0.810247 0.586088i \(-0.199333\pi\)
−0.912691 + 0.408651i \(0.865999\pi\)
\(192\) −39.0796 10.4713i −2.82033 0.755705i
\(193\) −4.85094 4.85094i −0.349178 0.349178i 0.510625 0.859803i \(-0.329414\pi\)
−0.859803 + 0.510625i \(0.829414\pi\)
\(194\) −2.73582 2.73582i −0.196421 0.196421i
\(195\) 14.0011 8.08355i 1.00264 0.578875i
\(196\) −4.11662 + 2.37673i −0.294045 + 0.169767i
\(197\) −20.4216 + 5.47194i −1.45498 + 0.389860i −0.897751 0.440502i \(-0.854800\pi\)
−0.557224 + 0.830362i \(0.688134\pi\)
\(198\) −108.306 + 29.0205i −7.69696 + 2.06240i
\(199\) −5.21552 + 5.21552i −0.369718 + 0.369718i −0.867374 0.497656i \(-0.834194\pi\)
0.497656 + 0.867374i \(0.334194\pi\)
\(200\) −1.10187 + 1.90850i −0.0779141 + 0.134951i
\(201\) 11.3252 + 42.2663i 0.798819 + 2.98123i
\(202\) −2.31835 1.33850i −0.163118 0.0941764i
\(203\) −9.95199 17.2373i −0.698493 1.20982i
\(204\) −32.7813 16.4512i −2.29515 1.15181i
\(205\) −0.838982 1.45316i −0.0585970 0.101493i
\(206\) −2.37772 1.37278i −0.165663 0.0956458i
\(207\) 1.18716 1.18716i 0.0825131 0.0825131i
\(208\) 2.04571 3.54328i 0.141845 0.245682i
\(209\) −25.9210 6.94551i −1.79299 0.480431i
\(210\) −13.9221 + 51.9580i −0.960717 + 3.58544i
\(211\) 8.12594 + 8.12594i 0.559413 + 0.559413i 0.929140 0.369728i \(-0.120549\pi\)
−0.369728 + 0.929140i \(0.620549\pi\)
\(212\) 7.26070 4.19197i 0.498667 0.287906i
\(213\) 20.4449i 1.40086i
\(214\) −6.42635 6.42635i −0.439297 0.439297i
\(215\) 7.75553 14.7524i 0.528923 1.00611i
\(216\) 17.1940 17.1940i 1.16990 1.16990i
\(217\) 6.08937 0.413373
\(218\) −14.5009 3.88551i −0.982126 0.263160i
\(219\) 26.2085i 1.77101i
\(220\) 22.4902 + 38.9542i 1.51629 + 2.62629i
\(221\) 5.28323 5.94027i 0.355388 0.399586i
\(222\) −12.2768 + 21.2641i −0.823968 + 1.42715i
\(223\) 13.3657i 0.895036i 0.894275 + 0.447518i \(0.147692\pi\)
−0.894275 + 0.447518i \(0.852308\pi\)
\(224\) 5.83608 + 21.7805i 0.389939 + 1.45527i
\(225\) 5.75512 + 9.96817i 0.383675 + 0.664544i
\(226\) −21.7024 + 21.7024i −1.44362 + 1.44362i
\(227\) 5.17455 19.3117i 0.343447 1.28176i −0.550969 0.834526i \(-0.685742\pi\)
0.894416 0.447236i \(-0.147592\pi\)
\(228\) 35.1333 9.41394i 2.32676 0.623453i
\(229\) −10.3316 5.96494i −0.682730 0.394175i 0.118153 0.992995i \(-0.462303\pi\)
−0.800883 + 0.598821i \(0.795636\pi\)
\(230\) −1.01589 0.586523i −0.0669856 0.0386742i
\(231\) 45.3210 + 45.3210i 2.98190 + 2.98190i
\(232\) 9.80279 2.62665i 0.643585 0.172448i
\(233\) 2.37202 + 8.85252i 0.155396 + 0.579948i 0.999071 + 0.0430927i \(0.0137211\pi\)
−0.843675 + 0.536855i \(0.819612\pi\)
\(234\) 16.4702 + 28.5273i 1.07669 + 1.86489i
\(235\) −30.2329 8.10089i −1.97218 0.528444i
\(236\) 29.3434i 1.91009i
\(237\) −13.9793 −0.908056
\(238\) 1.54581 + 26.4052i 0.100200 + 1.71160i
\(239\) 0.462453 + 0.800993i 0.0299136 + 0.0518119i 0.880595 0.473870i \(-0.157143\pi\)
−0.850681 + 0.525682i \(0.823810\pi\)
\(240\) 15.4090 + 8.89637i 0.994645 + 0.574258i
\(241\) −4.27135 15.9409i −0.275142 1.02684i −0.955746 0.294192i \(-0.904949\pi\)
0.680605 0.732651i \(-0.261717\pi\)
\(242\) 69.5097 4.46825
\(243\) −12.6773 47.3125i −0.813252 3.03510i
\(244\) −8.87972 + 2.37931i −0.568466 + 0.152320i
\(245\) 4.32790 1.15966i 0.276499 0.0740878i
\(246\) 4.08754 2.35994i 0.260612 0.150465i
\(247\) 7.88369i 0.501627i
\(248\) −0.803590 + 2.99904i −0.0510280 + 0.190439i
\(249\) 28.1123 7.53267i 1.78155 0.477364i
\(250\) −13.7875 + 13.7875i −0.871996 + 0.871996i
\(251\) 6.15525 10.6612i 0.388516 0.672929i −0.603734 0.797186i \(-0.706321\pi\)
0.992250 + 0.124256i \(0.0396545\pi\)
\(252\) −60.7819 16.2865i −3.82890 1.02595i
\(253\) −1.21046 + 0.698861i −0.0761011 + 0.0439370i
\(254\) −11.8525 −0.743692
\(255\) 25.8330 + 22.9757i 1.61773 + 1.43879i
\(256\) −0.0534200 −0.00333875
\(257\) 11.7914i 0.735530i −0.929919 0.367765i \(-0.880123\pi\)
0.929919 0.367765i \(-0.119877\pi\)
\(258\) 41.4967 + 21.8153i 2.58347 + 1.35816i
\(259\) 10.1665 0.631716
\(260\) 9.34396 9.34396i 0.579488 0.579488i
\(261\) 13.7191 51.2004i 0.849191 3.16923i
\(262\) −26.0484 26.0484i −1.60927 1.60927i
\(263\) −10.4162 + 6.01378i −0.642289 + 0.370826i −0.785496 0.618867i \(-0.787592\pi\)
0.143207 + 0.989693i \(0.454259\pi\)
\(264\) −28.3016 + 16.3399i −1.74184 + 1.00565i
\(265\) −7.63334 + 2.04535i −0.468912 + 0.125645i
\(266\) −18.5477 18.5477i −1.13724 1.13724i
\(267\) 0.245225 + 0.915190i 0.0150075 + 0.0560087i
\(268\) 17.8827 + 30.9738i 1.09236 + 1.89203i
\(269\) 11.7100 11.7100i 0.713973 0.713973i −0.253391 0.967364i \(-0.581546\pi\)
0.967364 + 0.253391i \(0.0815458\pi\)
\(270\) −76.8488 + 44.3687i −4.67687 + 2.70019i
\(271\) −9.48096 + 16.4215i −0.575927 + 0.997535i 0.420013 + 0.907518i \(0.362025\pi\)
−0.995940 + 0.0900171i \(0.971308\pi\)
\(272\) 8.56895 + 1.76669i 0.519569 + 0.107121i
\(273\) 9.41469 16.3067i 0.569803 0.986928i
\(274\) 10.5490i 0.637286i
\(275\) −2.48015 9.25606i −0.149559 0.558161i
\(276\) 0.947236 1.64066i 0.0570169 0.0987562i
\(277\) 7.97843 + 2.13781i 0.479377 + 0.128449i 0.490413 0.871490i \(-0.336846\pi\)
−0.0110353 + 0.999939i \(0.503513\pi\)
\(278\) 3.31871 12.3856i 0.199043 0.742839i
\(279\) 11.4669 + 11.4669i 0.686507 + 0.686507i
\(280\) 11.3561i 0.678658i
\(281\) 9.90643 5.71948i 0.590968 0.341195i −0.174512 0.984655i \(-0.555835\pi\)
0.765480 + 0.643460i \(0.222502\pi\)
\(282\) 22.7867 85.0413i 1.35693 5.06413i
\(283\) 19.9132 5.33572i 1.18372 0.317176i 0.387316 0.921947i \(-0.373402\pi\)
0.796399 + 0.604771i \(0.206735\pi\)
\(284\) −4.32508 16.1414i −0.256646 0.957817i
\(285\) −34.2845 −2.03084
\(286\) −7.09780 26.4894i −0.419702 1.56635i
\(287\) −1.69246 0.977140i −0.0999025 0.0576787i
\(288\) −30.0251 + 52.0050i −1.76925 + 3.06443i
\(289\) 15.6137 + 6.72407i 0.918452 + 0.395534i
\(290\) −37.0358 −2.17482
\(291\) −5.10070 + 2.94489i −0.299008 + 0.172633i
\(292\) −5.54437 20.6919i −0.324460 1.21090i
\(293\) 27.7687 1.62227 0.811133 0.584861i \(-0.198851\pi\)
0.811133 + 0.584861i \(0.198851\pi\)
\(294\) 3.26196 + 12.1738i 0.190241 + 0.709991i
\(295\) −7.15862 + 26.7163i −0.416791 + 1.55549i
\(296\) −1.34163 + 5.00705i −0.0779809 + 0.291029i
\(297\) 105.733i 6.13528i
\(298\) 17.4075 10.0502i 1.00839 0.582194i
\(299\) 0.290354 + 0.290354i 0.0167916 + 0.0167916i
\(300\) 9.18406 + 9.18406i 0.530242 + 0.530242i
\(301\) −0.768372 19.3962i −0.0442882 1.11798i
\(302\) −39.6175 −2.27973
\(303\) −2.88157 + 2.88157i −0.165542 + 0.165542i
\(304\) −7.51400 + 4.33821i −0.430957 + 0.248813i
\(305\) 8.66519 0.496168
\(306\) −46.8129 + 52.6348i −2.67612 + 3.00893i
\(307\) −2.94039 5.09290i −0.167817 0.290667i 0.769835 0.638243i \(-0.220338\pi\)
−0.937652 + 0.347576i \(0.887005\pi\)
\(308\) 45.3690 + 26.1938i 2.58514 + 1.49253i
\(309\) −2.95536 + 2.95536i −0.168125 + 0.168125i
\(310\) 5.66531 9.81261i 0.321768 0.557319i
\(311\) 33.8741 + 9.07654i 1.92082 + 0.514683i 0.988027 + 0.154279i \(0.0493055\pi\)
0.932796 + 0.360404i \(0.117361\pi\)
\(312\) 6.78871 + 6.78871i 0.384335 + 0.384335i
\(313\) 1.27963 4.77566i 0.0723292 0.269936i −0.920285 0.391248i \(-0.872043\pi\)
0.992614 + 0.121312i \(0.0387101\pi\)
\(314\) 3.66828 + 2.11788i 0.207013 + 0.119519i
\(315\) 51.3670 + 29.6567i 2.89420 + 1.67097i
\(316\) −11.0368 + 2.95731i −0.620870 + 0.166362i
\(317\) −16.9069 16.9069i −0.949586 0.949586i 0.0492027 0.998789i \(-0.484332\pi\)
−0.998789 + 0.0492027i \(0.984332\pi\)
\(318\) −5.75329 21.4716i −0.322628 1.20407i
\(319\) −22.0647 + 38.2171i −1.23538 + 2.13975i
\(320\) 30.1083 + 8.06750i 1.68311 + 0.450987i
\(321\) −11.9814 + 6.91745i −0.668735 + 0.386094i
\(322\) −1.36622 −0.0761362
\(323\) −16.0013 + 5.30755i −0.890339 + 0.295320i
\(324\) −39.7696 68.8830i −2.20942 3.82683i
\(325\) −2.43801 + 1.40758i −0.135236 + 0.0780787i
\(326\) 1.48971 + 5.55969i 0.0825076 + 0.307923i
\(327\) −11.4266 + 19.7915i −0.631894 + 1.09447i
\(328\) 0.704592 0.704592i 0.0389046 0.0389046i
\(329\) −35.2115 + 9.43490i −1.94127 + 0.520163i
\(330\) 115.197 30.8669i 6.34137 1.69916i
\(331\) −17.1472 9.89993i −0.942495 0.544150i −0.0517532 0.998660i \(-0.516481\pi\)
−0.890741 + 0.454510i \(0.849814\pi\)
\(332\) 20.6014 11.8942i 1.13065 0.652781i
\(333\) 19.1446 + 19.1446i 1.04912 + 1.04912i
\(334\) 2.96396 11.0616i 0.162180 0.605266i
\(335\) −8.72535 32.5635i −0.476717 1.77913i
\(336\) 20.7227 1.13052
\(337\) −5.98968 22.3538i −0.326278 1.21769i −0.913020 0.407914i \(-0.866256\pi\)
0.586742 0.809774i \(-0.300410\pi\)
\(338\) 17.4211 10.0581i 0.947585 0.547088i
\(339\) 23.3609 + 40.4622i 1.26879 + 2.19761i
\(340\) 25.2559 + 12.6746i 1.36969 + 0.687375i
\(341\) −6.75040 11.6920i −0.365555 0.633159i
\(342\) 69.8547i 3.77731i
\(343\) −10.9623 + 10.9623i −0.591910 + 0.591910i
\(344\) 9.65410 + 2.18121i 0.520514 + 0.117603i
\(345\) −1.26269 + 1.26269i −0.0679808 + 0.0679808i
\(346\) −26.9079 26.9079i −1.44658 1.44658i
\(347\) −3.03128 + 11.3129i −0.162728 + 0.607308i 0.835592 + 0.549351i \(0.185125\pi\)
−0.998319 + 0.0579564i \(0.981542\pi\)
\(348\) 59.8129i 3.20631i
\(349\) 18.8447 10.8800i 1.00874 0.582394i 0.0979148 0.995195i \(-0.468783\pi\)
0.910821 + 0.412801i \(0.135449\pi\)
\(350\) 2.42425 9.04741i 0.129581 0.483605i
\(351\) 30.0039 8.03952i 1.60149 0.429118i
\(352\) 35.3506 35.3506i 1.88420 1.88420i
\(353\) 9.05128 15.6773i 0.481751 0.834417i −0.518030 0.855363i \(-0.673334\pi\)
0.999781 + 0.0209457i \(0.00666770\pi\)
\(354\) −75.1495 20.1363i −3.99415 1.07023i
\(355\) 15.7515i 0.836001i
\(356\) 0.387214 + 0.670675i 0.0205223 + 0.0355457i
\(357\) 39.4357 + 8.13059i 2.08716 + 0.430316i
\(358\) −15.5385 + 26.9135i −0.821237 + 1.42243i
\(359\) 28.8019 + 16.6288i 1.52011 + 0.877634i 0.999719 + 0.0237048i \(0.00754619\pi\)
0.520388 + 0.853930i \(0.325787\pi\)
\(360\) −21.3848 + 21.3848i −1.12708 + 1.12708i
\(361\) −1.14079 + 1.97591i −0.0600416 + 0.103995i
\(362\) −8.20667 30.6277i −0.431333 1.60976i
\(363\) 27.3866 102.208i 1.43742 5.36453i
\(364\) 3.98333 14.8660i 0.208783 0.779190i
\(365\) 20.1920i 1.05690i
\(366\) 24.3740i 1.27405i
\(367\) 4.20453 15.6915i 0.219475 0.819091i −0.765068 0.643949i \(-0.777295\pi\)
0.984543 0.175142i \(-0.0560384\pi\)
\(368\) −0.116963 + 0.436513i −0.00609713 + 0.0227548i
\(369\) −1.34702 5.02713i −0.0701229 0.261702i
\(370\) 9.45853 16.3826i 0.491725 0.851693i
\(371\) −6.50818 + 6.50818i −0.337888 + 0.337888i
\(372\) 15.8474 + 9.14950i 0.821649 + 0.474379i
\(373\) 10.9617 18.9862i 0.567575 0.983069i −0.429230 0.903195i \(-0.641215\pi\)
0.996805 0.0798740i \(-0.0254518\pi\)
\(374\) 48.9864 32.2397i 2.53303 1.66708i
\(375\) 14.8411 + 25.7055i 0.766390 + 1.32743i
\(376\) 18.5869i 0.958546i
\(377\) 12.5225 + 3.35541i 0.644944 + 0.172812i
\(378\) −51.6750 + 89.5038i −2.65788 + 4.60358i
\(379\) −8.98338 + 8.98338i −0.461445 + 0.461445i −0.899129 0.437684i \(-0.855799\pi\)
0.437684 + 0.899129i \(0.355799\pi\)
\(380\) −27.0680 + 7.25284i −1.38856 + 0.372063i
\(381\) −4.66984 + 17.4281i −0.239243 + 0.892868i
\(382\) −5.31431 + 3.06822i −0.271904 + 0.156984i
\(383\) 9.40855i 0.480755i 0.970680 + 0.240377i \(0.0772712\pi\)
−0.970680 + 0.240377i \(0.922729\pi\)
\(384\) −9.68482 + 36.1442i −0.494227 + 1.84448i
\(385\) −34.9169 34.9169i −1.77953 1.77953i
\(386\) −10.5126 + 10.5126i −0.535079 + 0.535079i
\(387\) 35.0782 37.9720i 1.78312 1.93023i
\(388\) −3.40407 + 3.40407i −0.172815 + 0.172815i
\(389\) 14.1919i 0.719558i 0.933037 + 0.359779i \(0.117148\pi\)
−0.933037 + 0.359779i \(0.882852\pi\)
\(390\) −17.5181 30.3423i −0.887065 1.53644i
\(391\) −0.393849 + 0.784800i −0.0199178 + 0.0396891i
\(392\) 1.33037 + 2.30427i 0.0671940 + 0.116383i
\(393\) −48.5649 + 28.0390i −2.44978 + 1.41438i
\(394\) 11.8584 + 44.2563i 0.597419 + 2.22960i
\(395\) 10.7702 0.541907
\(396\) 36.1089 + 134.760i 1.81454 + 6.77196i
\(397\) −5.76250 + 21.5060i −0.289212 + 1.07935i 0.656495 + 0.754331i \(0.272038\pi\)
−0.945706 + 0.325022i \(0.894628\pi\)
\(398\) 11.3027 + 11.3027i 0.566555 + 0.566555i
\(399\) −34.5806 + 19.9651i −1.73120 + 0.999507i
\(400\) −2.68315 1.54912i −0.134158 0.0774560i
\(401\) 29.7738 7.97785i 1.48683 0.398395i 0.578165 0.815920i \(-0.303769\pi\)
0.908665 + 0.417525i \(0.137102\pi\)
\(402\) 91.5967 24.5433i 4.56843 1.22411i
\(403\) −2.80457 + 2.80457i −0.139706 + 0.139706i
\(404\) −1.66544 + 2.88462i −0.0828585 + 0.143515i
\(405\) 19.4044 + 72.4182i 0.964213 + 3.59849i
\(406\) −37.3556 + 21.5673i −1.85393 + 1.07037i
\(407\) −11.2701 19.5205i −0.558640 0.967593i
\(408\) −9.20852 + 18.3493i −0.455890 + 0.908424i
\(409\) 10.7873 0.533398 0.266699 0.963780i \(-0.414067\pi\)
0.266699 + 0.963780i \(0.414067\pi\)
\(410\) −3.14919 + 1.81819i −0.155527 + 0.0897938i
\(411\) −15.5113 4.15625i −0.765118 0.205013i
\(412\) −1.70808 + 2.95849i −0.0841513 + 0.145754i
\(413\) 8.33746 + 31.1158i 0.410259 + 1.53111i
\(414\) −2.57273 2.57273i −0.126443 0.126443i
\(415\) −21.6587 + 5.80344i −1.06319 + 0.284880i
\(416\) −12.7193 7.34352i −0.623617 0.360045i
\(417\) −16.9044 9.75976i −0.827812 0.477938i
\(418\) −15.0518 + 56.1742i −0.736210 + 2.74757i
\(419\) 1.06072 + 1.06072i 0.0518193 + 0.0518193i 0.732542 0.680722i \(-0.238334\pi\)
−0.680722 + 0.732542i \(0.738334\pi\)
\(420\) 64.6491 + 17.3227i 3.15455 + 0.845260i
\(421\) −9.08800 + 15.7409i −0.442922 + 0.767163i −0.997905 0.0646984i \(-0.979391\pi\)
0.554983 + 0.831862i \(0.312725\pi\)
\(422\) 17.6100 17.6100i 0.857241 0.857241i
\(423\) −84.0739 48.5401i −4.08781 2.36010i
\(424\) −2.34645 4.06417i −0.113954 0.197373i
\(425\) −4.49828 4.00074i −0.218199 0.194064i
\(426\) −44.3068 −2.14667
\(427\) 8.74003 5.04606i 0.422960 0.244196i
\(428\) −7.99603 + 7.99603i −0.386503 + 0.386503i
\(429\) −41.7468 −2.01556
\(430\) −31.9705 16.8073i −1.54176 0.810519i
\(431\) −15.3783 15.3783i −0.740747 0.740747i 0.231975 0.972722i \(-0.425481\pi\)
−0.972722 + 0.231975i \(0.925481\pi\)
\(432\) 24.1730 + 24.1730i 1.16302 + 1.16302i
\(433\) 19.7965 11.4295i 0.951359 0.549267i 0.0578558 0.998325i \(-0.481574\pi\)
0.893503 + 0.449058i \(0.148240\pi\)
\(434\) 13.1965i 0.633451i
\(435\) −14.5920 + 54.4579i −0.699631 + 2.61106i
\(436\) −4.83457 + 18.0429i −0.231534 + 0.864096i
\(437\) −0.225374 0.841109i −0.0107811 0.0402357i
\(438\) −56.7973 −2.71388
\(439\) −2.38110 8.88639i −0.113644 0.424124i 0.885538 0.464567i \(-0.153790\pi\)
−0.999182 + 0.0404425i \(0.987123\pi\)
\(440\) 21.8046 12.5889i 1.03949 0.600151i
\(441\) 13.8972 0.661771
\(442\) −12.8734 11.4495i −0.612324 0.544595i
\(443\) −2.87554 + 4.98058i −0.136621 + 0.236635i −0.926216 0.376994i \(-0.876958\pi\)
0.789594 + 0.613629i \(0.210291\pi\)
\(444\) 26.4580 + 15.2755i 1.25564 + 0.724945i
\(445\) −0.188930 0.705096i −0.00895613 0.0334247i
\(446\) 28.9653 1.37155
\(447\) −7.91951 29.5560i −0.374580 1.39795i
\(448\) 35.0664 9.39601i 1.65673 0.443920i
\(449\) 3.46384 12.9272i 0.163469 0.610073i −0.834762 0.550611i \(-0.814395\pi\)
0.998231 0.0594622i \(-0.0189386\pi\)
\(450\) 21.6024 12.4721i 1.01834 0.587942i
\(451\) 4.33285i 0.204026i
\(452\) 27.0034 + 27.0034i 1.27013 + 1.27013i
\(453\) −15.6092 + 58.2542i −0.733382 + 2.73702i
\(454\) −41.8510 11.2140i −1.96417 0.526297i
\(455\) −7.25342 + 12.5633i −0.340046 + 0.588976i
\(456\) −5.26944 19.6658i −0.246764 0.920936i
\(457\) 2.34620i 0.109751i −0.998493 0.0548754i \(-0.982524\pi\)
0.998493 0.0548754i \(-0.0174762\pi\)
\(458\) −12.9268 + 22.3899i −0.604031 + 1.04621i
\(459\) 36.5172 + 55.4858i 1.70448 + 2.58986i
\(460\) −0.729785 + 1.26402i −0.0340264 + 0.0589355i
\(461\) −16.4481 + 9.49634i −0.766066 + 0.442288i −0.831469 0.555570i \(-0.812500\pi\)
0.0654034 + 0.997859i \(0.479167\pi\)
\(462\) 98.2167 98.2167i 4.56945 4.56945i
\(463\) 6.65735 + 11.5309i 0.309393 + 0.535885i 0.978230 0.207525i \(-0.0665408\pi\)
−0.668837 + 0.743409i \(0.733207\pi\)
\(464\) 3.69280 + 13.7817i 0.171434 + 0.639801i
\(465\) −12.1965 12.1965i −0.565599 0.565599i
\(466\) 19.1846 5.14050i 0.888709 0.238129i
\(467\) 28.2960 16.3367i 1.30938 0.755971i 0.327388 0.944890i \(-0.393832\pi\)
0.981993 + 0.188919i \(0.0604983\pi\)
\(468\) 35.4953 20.4932i 1.64077 0.947299i
\(469\) −27.7636 27.7636i −1.28200 1.28200i
\(470\) −17.5557 + 65.5189i −0.809785 + 3.02216i
\(471\) 4.55946 4.55946i 0.210089 0.210089i
\(472\) −16.4249 −0.756019
\(473\) −36.3903 + 22.9771i −1.67323 + 1.05649i
\(474\) 30.2951i 1.39150i
\(475\) 5.96994 0.273920
\(476\) 32.8549 1.92338i 1.50590 0.0881581i
\(477\) −24.5112 −1.12229
\(478\) 1.73586 1.00220i 0.0793963 0.0458395i
\(479\) −2.22944 0.597377i −0.101866 0.0272948i 0.207526 0.978229i \(-0.433459\pi\)
−0.309392 + 0.950935i \(0.600125\pi\)
\(480\) 31.9354 55.3138i 1.45765 2.52472i
\(481\) −4.68237 + 4.68237i −0.213498 + 0.213498i
\(482\) −34.5461 + 9.25659i −1.57353 + 0.421626i
\(483\) −0.538284 + 2.00890i −0.0244928 + 0.0914083i
\(484\) 86.4879i 3.93127i
\(485\) 3.92976 2.26885i 0.178441 0.103023i
\(486\) −102.533 + 27.4735i −4.65097 + 1.24622i
\(487\) −37.6678 + 10.0931i −1.70689 + 0.457360i −0.974659 0.223696i \(-0.928188\pi\)
−0.732232 + 0.681056i \(0.761521\pi\)
\(488\) 1.33182 + 4.97041i 0.0602886 + 0.225000i
\(489\) 8.76199 0.396231
\(490\) −2.51313 9.37914i −0.113532 0.423706i
\(491\) −10.6015 6.12079i −0.478440 0.276228i 0.241326 0.970444i \(-0.422418\pi\)
−0.719766 + 0.694217i \(0.755751\pi\)
\(492\) −2.93638 5.08595i −0.132382 0.229292i
\(493\) 1.62019 + 27.6757i 0.0729695 + 1.24645i
\(494\) 17.0850 0.768691
\(495\) 131.505i 5.91069i
\(496\) −4.21634 1.12977i −0.189319 0.0507280i
\(497\) 9.17265 + 15.8875i 0.411450 + 0.712652i
\(498\) −16.3243 60.9232i −0.731510 2.73003i
\(499\) 22.7844 6.10506i 1.01997 0.273300i 0.290180 0.956972i \(-0.406285\pi\)
0.729789 + 0.683672i \(0.239618\pi\)
\(500\) 17.1551 + 17.1551i 0.767201 + 0.767201i
\(501\) −15.0974 8.71649i −0.674502 0.389424i
\(502\) −23.1043 13.3393i −1.03119 0.595360i
\(503\) −4.55646 + 1.22090i −0.203162 + 0.0544372i −0.358965 0.933351i \(-0.616870\pi\)
0.155803 + 0.987788i \(0.450204\pi\)
\(504\) −9.11633 + 34.0226i −0.406074 + 1.51549i
\(505\) 2.22006 2.22006i 0.0987916 0.0987916i
\(506\) 1.51453 + 2.62324i 0.0673289 + 0.116617i
\(507\) −7.92571 29.5791i −0.351993 1.31366i
\(508\) 14.7475i 0.654316i
\(509\) 10.1130 17.5163i 0.448253 0.776397i −0.550019 0.835152i \(-0.685380\pi\)
0.998272 + 0.0587548i \(0.0187130\pi\)
\(510\) 49.7913 55.9836i 2.20480 2.47899i
\(511\) 11.7585 + 20.3664i 0.520167 + 0.900955i
\(512\) 22.5695i 0.997440i
\(513\) −63.6273 17.0489i −2.80922 0.752727i
\(514\) −25.5536 −1.12712
\(515\) 2.27692 2.27692i 0.100333 0.100333i
\(516\) 27.1438 51.6325i 1.19494 2.27299i
\(517\) 57.1496 + 57.1496i 2.51344 + 2.51344i
\(518\) 22.0322i 0.968039i
\(519\) −50.1674 + 28.9642i −2.20210 + 1.27139i
\(520\) −5.23027 5.23027i −0.229362 0.229362i
\(521\) 3.79711 14.1710i 0.166354 0.620843i −0.831509 0.555511i \(-0.812523\pi\)
0.997864 0.0653318i \(-0.0208106\pi\)
\(522\) −110.958 29.7311i −4.85651 1.30130i
\(523\) −1.74399 + 3.02068i −0.0762594 + 0.132085i −0.901633 0.432501i \(-0.857631\pi\)
0.825374 + 0.564587i \(0.190964\pi\)
\(524\) −32.4109 + 32.4109i −1.41588 + 1.41588i
\(525\) −12.3483 7.12930i −0.538924 0.311148i
\(526\) 13.0327 + 22.5732i 0.568251 + 0.984240i
\(527\) −7.58050 3.80425i −0.330212 0.165716i
\(528\) −22.9723 39.7892i −0.999741 1.73160i
\(529\) 19.8793 + 11.4773i 0.864318 + 0.499014i
\(530\) 4.43254 + 16.5425i 0.192537 + 0.718559i
\(531\) −42.8941 + 74.2947i −1.86144 + 3.22412i
\(532\) −23.0781 + 23.0781i −1.00056 + 1.00056i
\(533\) 1.22953 0.329452i 0.0532569 0.0142701i
\(534\) 1.98334 0.531435i 0.0858275 0.0229974i
\(535\) 9.23088 5.32945i 0.399086 0.230412i
\(536\) 17.3376 10.0098i 0.748868 0.432359i
\(537\) 33.4519 + 33.4519i 1.44356 + 1.44356i
\(538\) −25.3772 25.3772i −1.09409 1.09409i
\(539\) −11.1755 2.99448i −0.481365 0.128981i
\(540\) 55.2060 + 95.6196i 2.37569 + 4.11481i
\(541\) 5.83956 + 21.7935i 0.251062 + 0.936977i 0.970239 + 0.242150i \(0.0778526\pi\)
−0.719176 + 0.694827i \(0.755481\pi\)
\(542\) 35.5876 + 20.5465i 1.52862 + 0.882548i
\(543\) −48.2688 −2.07141
\(544\) 6.34190 30.7601i 0.271907 1.31883i
\(545\) 8.80348 15.2481i 0.377100 0.653156i
\(546\) −35.3389 20.4029i −1.51236 0.873164i
\(547\) −22.0351 5.90430i −0.942155 0.252450i −0.245125 0.969492i \(-0.578829\pi\)
−0.697030 + 0.717042i \(0.745496\pi\)
\(548\) −13.1256 −0.560698
\(549\) 25.9607 + 6.95614i 1.10797 + 0.296881i
\(550\) −20.0591 + 5.37483i −0.855324 + 0.229183i
\(551\) −19.4402 19.4402i −0.828179 0.828179i
\(552\) −0.918358 0.530214i −0.0390879 0.0225674i
\(553\) 10.8632 6.27188i 0.461951 0.266707i
\(554\) 4.63293 17.2903i 0.196834 0.734596i
\(555\) −20.3627 20.3627i −0.864347 0.864347i
\(556\) −15.4109 4.12933i −0.653566 0.175123i
\(557\) −7.84780 −0.332522 −0.166261 0.986082i \(-0.553169\pi\)
−0.166261 + 0.986082i \(0.553169\pi\)
\(558\) 24.8504 24.8504i 1.05200 1.05200i
\(559\) 9.28716 + 8.57938i 0.392805 + 0.362869i
\(560\) −15.9655 −0.674667
\(561\) −28.1053 84.7327i −1.18661 3.57742i
\(562\) −12.3949 21.4686i −0.522846 0.905596i
\(563\) 2.05178i 0.0864724i −0.999065 0.0432362i \(-0.986233\pi\)
0.999065 0.0432362i \(-0.0137668\pi\)
\(564\) −105.813 28.3525i −4.45554 1.19386i
\(565\) −17.9981 31.1736i −0.757184 1.31148i
\(566\) −11.5632 43.1545i −0.486038 1.81392i
\(567\) 61.7438 + 61.7438i 2.59300 + 2.59300i
\(568\) −9.03514 + 2.42096i −0.379106 + 0.101581i
\(569\) 9.10446 5.25646i 0.381679 0.220362i −0.296870 0.954918i \(-0.595943\pi\)
0.678549 + 0.734556i \(0.262609\pi\)
\(570\) 74.2991i 3.11205i
\(571\) 10.2036 38.0802i 0.427006 1.59361i −0.332498 0.943104i \(-0.607892\pi\)
0.759504 0.650503i \(-0.225442\pi\)
\(572\) −32.9595 + 8.83148i −1.37811 + 0.369263i
\(573\) 2.41774 + 9.02311i 0.101002 + 0.376946i
\(574\) −2.11759 + 3.66778i −0.0883866 + 0.153090i
\(575\) 0.219871 0.219871i 0.00916926 0.00916926i
\(576\) 83.7274 + 48.3400i 3.48864 + 2.01417i
\(577\) −13.1707 + 22.8123i −0.548304 + 0.949690i 0.450087 + 0.892985i \(0.351393\pi\)
−0.998391 + 0.0567052i \(0.981940\pi\)
\(578\) 14.5720 33.8369i 0.606114 1.40743i
\(579\) 11.3160 + 19.5999i 0.470276 + 0.814543i
\(580\) 46.0820i 1.91345i
\(581\) −18.4662 + 18.4662i −0.766109 + 0.766109i
\(582\) 6.38198 + 11.0539i 0.264541 + 0.458199i
\(583\) 19.7109 + 5.28151i 0.816341 + 0.218738i
\(584\) −11.5822 + 3.10345i −0.479277 + 0.128422i
\(585\) −37.3170 + 9.99905i −1.54287 + 0.413410i
\(586\) 60.1786i 2.48595i
\(587\) −10.7546 6.20919i −0.443891 0.256281i 0.261356 0.965243i \(-0.415830\pi\)
−0.705247 + 0.708962i \(0.749164\pi\)
\(588\) 15.1473 4.05872i 0.624666 0.167379i
\(589\) 8.12439 2.17692i 0.334760 0.0896986i
\(590\) 57.8979 + 15.5137i 2.38362 + 0.638689i
\(591\) 69.7472 2.86902
\(592\) −7.03940 1.88620i −0.289318 0.0775224i
\(593\) 10.1873 + 5.88163i 0.418341 + 0.241530i 0.694367 0.719621i \(-0.255684\pi\)
−0.276026 + 0.961150i \(0.589018\pi\)
\(594\) 229.139 9.40167
\(595\) −30.3827 6.26410i −1.24557 0.256803i
\(596\) −12.5051 21.6594i −0.512227 0.887204i
\(597\) 21.0729 12.1665i 0.862458 0.497940i
\(598\) 0.629236 0.629236i 0.0257314 0.0257314i
\(599\) 6.99833 + 12.1215i 0.285944 + 0.495270i 0.972838 0.231488i \(-0.0743595\pi\)
−0.686894 + 0.726758i \(0.741026\pi\)
\(600\) 5.14077 5.14077i 0.209871 0.209871i
\(601\) −0.161015 0.161015i −0.00656793 0.00656793i 0.703815 0.710383i \(-0.251478\pi\)
−0.710383 + 0.703815i \(0.751478\pi\)
\(602\) −42.0341 + 1.66517i −1.71318 + 0.0678671i
\(603\) 104.564i 4.25816i
\(604\) 49.2943i 2.00576i
\(605\) −21.0996 + 78.7448i −0.857821 + 3.20143i
\(606\) 6.24475 + 6.24475i 0.253675 + 0.253675i
\(607\) −5.29798 1.41959i −0.215039 0.0576194i 0.149691 0.988733i \(-0.452172\pi\)
−0.364730 + 0.931113i \(0.618839\pi\)
\(608\) 15.5729 + 26.9731i 0.631565 + 1.09390i
\(609\) 16.9949 + 63.4257i 0.688667 + 2.57014i
\(610\) 18.7786i 0.760325i
\(611\) 11.8719 20.5627i 0.480285 0.831879i
\(612\) 65.4912 + 58.2473i 2.64732 + 2.35451i
\(613\) 25.3586 1.02423 0.512113 0.858918i \(-0.328863\pi\)
0.512113 + 0.858918i \(0.328863\pi\)
\(614\) −11.0370 + 6.37221i −0.445417 + 0.257162i
\(615\) 1.43272 + 5.34698i 0.0577728 + 0.215611i
\(616\) 14.6619 25.3952i 0.590746 1.02320i
\(617\) 5.04556 + 18.8303i 0.203127 + 0.758079i 0.990012 + 0.140980i \(0.0450254\pi\)
−0.786886 + 0.617099i \(0.788308\pi\)
\(618\) 6.40466 + 6.40466i 0.257633 + 0.257633i
\(619\) −42.1848 + 11.3034i −1.69555 + 0.454321i −0.971813 0.235754i \(-0.924244\pi\)
−0.723737 + 0.690076i \(0.757577\pi\)
\(620\) −12.2094 7.04910i −0.490341 0.283099i
\(621\) −2.97128 + 1.71547i −0.119233 + 0.0688394i
\(622\) 19.6701 73.4097i 0.788698 2.94346i
\(623\) −0.601165 0.601165i −0.0240852 0.0240852i
\(624\) −9.54424 + 9.54424i −0.382075 + 0.382075i
\(625\) −15.0843 26.1267i −0.603371 1.04507i
\(626\) −10.3495 2.77314i −0.413649 0.110837i
\(627\) 76.6691 + 44.2649i 3.06187 + 1.76777i
\(628\) 2.63519 4.56428i 0.105156 0.182135i
\(629\) −12.6560 6.35139i −0.504629 0.253246i
\(630\) 64.2702 111.319i 2.56058 4.43506i
\(631\) −2.00351 1.15673i −0.0797584 0.0460485i 0.459590 0.888131i \(-0.347996\pi\)
−0.539349 + 0.842082i \(0.681330\pi\)
\(632\) 1.65535 + 6.17785i 0.0658463 + 0.245742i
\(633\) −18.9557 32.8323i −0.753422 1.30497i
\(634\) −36.6395 + 36.6395i −1.45514 + 1.45514i
\(635\) 3.59781 13.4272i 0.142775 0.532843i
\(636\) −26.7161 + 7.15857i −1.05936 + 0.283856i
\(637\) 3.39896i 0.134672i
\(638\) 82.8216 + 47.8171i 3.27894 + 1.89310i
\(639\) −12.6448 + 47.1909i −0.500219 + 1.86684i
\(640\) 7.46154 27.8468i 0.294943 1.10074i
\(641\) 20.2220 20.2220i 0.798722 0.798722i −0.184172 0.982894i \(-0.558960\pi\)
0.982894 + 0.184172i \(0.0589605\pi\)
\(642\) 14.9910 + 25.9652i 0.591649 + 1.02477i
\(643\) 5.57656 5.57656i 0.219918 0.219918i −0.588546 0.808464i \(-0.700299\pi\)
0.808464 + 0.588546i \(0.200299\pi\)
\(644\) 1.69992i 0.0669863i
\(645\) −37.3099 + 40.3879i −1.46908 + 1.59027i
\(646\) 11.5022 + 34.6771i 0.452547 + 1.36435i
\(647\) 5.93004 0.233134 0.116567 0.993183i \(-0.462811\pi\)
0.116567 + 0.993183i \(0.462811\pi\)
\(648\) −38.5572 + 22.2610i −1.51467 + 0.874494i
\(649\) 50.5021 50.5021i 1.98238 1.98238i
\(650\) 3.05042 + 5.28348i 0.119647 + 0.207235i
\(651\) −19.4043 5.19937i −0.760514 0.203779i
\(652\) 6.91768 1.85359i 0.270917 0.0725920i
\(653\) −16.3540 16.3540i −0.639983 0.639983i 0.310568 0.950551i \(-0.399481\pi\)
−0.950551 + 0.310568i \(0.899481\pi\)
\(654\) 42.8908 + 24.7630i 1.67716 + 0.968311i
\(655\) 37.4161 21.6022i 1.46197 0.844069i
\(656\) 0.990585 + 0.990585i 0.0386759 + 0.0386759i
\(657\) −16.2095 + 60.4946i −0.632392 + 2.36012i
\(658\) 20.4467 + 76.3081i 0.797095 + 2.97480i
\(659\) 8.69745 15.0644i 0.338805 0.586827i −0.645403 0.763842i \(-0.723311\pi\)
0.984208 + 0.177015i \(0.0566441\pi\)
\(660\) −38.4063 143.334i −1.49496 5.57928i
\(661\) 13.8811i 0.539913i 0.962873 + 0.269956i \(0.0870093\pi\)
−0.962873 + 0.269956i \(0.912991\pi\)
\(662\) −21.4545 + 37.1603i −0.833852 + 1.44427i
\(663\) −21.9075 + 14.4181i −0.850818 + 0.559954i
\(664\) −6.65778 11.5316i −0.258372 0.447514i
\(665\) 26.6422 15.3819i 1.03314 0.596483i
\(666\) 41.4890 41.4890i 1.60766 1.60766i
\(667\) −1.43195 −0.0554453
\(668\) −13.7635 3.68792i −0.532526 0.142690i
\(669\) 11.4122 42.5911i 0.441223 1.64667i
\(670\) −70.5694 + 18.9090i −2.72633 + 0.730519i
\(671\) −19.3776 11.1877i −0.748065 0.431895i
\(672\) 74.3887i 2.86961i
\(673\) 36.4291 9.76115i 1.40424 0.376265i 0.524374 0.851488i \(-0.324299\pi\)
0.879865 + 0.475223i \(0.157633\pi\)
\(674\) −48.4436 + 12.9804i −1.86598 + 0.499988i
\(675\) −6.08795 22.7205i −0.234325 0.874513i
\(676\) −12.5149 21.6764i −0.481340 0.833706i
\(677\) −8.84975 + 8.84975i −0.340123 + 0.340123i −0.856414 0.516290i \(-0.827313\pi\)
0.516290 + 0.856414i \(0.327313\pi\)
\(678\) 87.6871 50.6262i 3.36760 1.94429i
\(679\) 2.64247 4.57689i 0.101409 0.175645i
\(680\) 7.09458 14.1369i 0.272065 0.542127i
\(681\) −32.9783 + 57.1201i −1.26373 + 2.18885i
\(682\) −25.3382 + 14.6290i −0.970251 + 0.560174i
\(683\) 3.16373 + 0.847720i 0.121057 + 0.0324371i 0.318839 0.947809i \(-0.396707\pi\)
−0.197782 + 0.980246i \(0.563374\pi\)
\(684\) −86.9172 −3.32336
\(685\) 11.9505 + 3.20213i 0.456605 + 0.122347i
\(686\) 23.7568 + 23.7568i 0.907040 + 0.907040i
\(687\) 27.8294 + 27.8294i 1.06176 + 1.06176i
\(688\) −3.06656 + 13.5727i −0.116912 + 0.517454i
\(689\) 5.99493i 0.228389i
\(690\) 2.73641 + 2.73641i 0.104174 + 0.104174i
\(691\) 4.47530 16.7021i 0.170249 0.635376i −0.827064 0.562108i \(-0.809990\pi\)
0.997312 0.0732682i \(-0.0233429\pi\)
\(692\) −33.4803 + 33.4803i −1.27273 + 1.27273i
\(693\) −76.5800 132.640i −2.90903 5.03859i
\(694\) 24.5165 + 6.56919i 0.930635 + 0.249363i
\(695\) 13.0238 + 7.51927i 0.494020 + 0.285222i
\(696\) −33.4802 −1.26906
\(697\) 1.49644 + 2.27376i 0.0566818 + 0.0861246i
\(698\) −23.5785 40.8391i −0.892458 1.54578i
\(699\) 30.2346i 1.14358i
\(700\) −11.2573 3.01639i −0.425486 0.114009i
\(701\) −9.14510 + 15.8398i −0.345406 + 0.598260i −0.985427 0.170097i \(-0.945592\pi\)
0.640022 + 0.768357i \(0.278925\pi\)
\(702\) −17.4227 65.0225i −0.657578 2.45412i
\(703\) 13.5641 3.63449i 0.511579 0.137077i
\(704\) −56.9141 56.9141i −2.14503 2.14503i
\(705\) 89.4230 + 51.6284i 3.36786 + 1.94444i
\(706\) −33.9747 19.6153i −1.27866 0.738233i
\(707\) 0.946413 3.53206i 0.0355935 0.132837i
\(708\) −25.0547 + 93.5053i −0.941612 + 3.51414i
\(709\) 33.2615 33.2615i 1.24916 1.24916i 0.293069 0.956091i \(-0.405323\pi\)
0.956091 0.293069i \(-0.0946766\pi\)
\(710\) 34.1355 1.28108
\(711\) 32.2672 + 8.64597i 1.21011 + 0.324249i
\(712\) 0.375409 0.216743i 0.0140691 0.00812278i
\(713\) 0.219043 0.379394i 0.00820324 0.0142084i
\(714\) 17.6201 85.4624i 0.659415 3.19835i
\(715\) 32.1633 1.20284
\(716\) 33.4874 + 19.3339i 1.25148 + 0.722543i
\(717\) −0.789725 2.94730i −0.0294928 0.110069i
\(718\) 36.0368 62.4176i 1.34488 2.32941i
\(719\) −6.19736 1.66058i −0.231123 0.0619291i 0.141399 0.989953i \(-0.454840\pi\)
−0.372521 + 0.928024i \(0.621507\pi\)
\(720\) −30.0648 30.0648i −1.12045 1.12045i
\(721\) 0.970649 3.62251i 0.0361489 0.134909i
\(722\) 4.28205 + 2.47225i 0.159362 + 0.0920075i
\(723\) 54.4441i 2.02480i
\(724\) −38.1087 + 10.2112i −1.41630 + 0.379496i
\(725\) 2.54089 9.48273i 0.0943662 0.352180i
\(726\) −221.499 59.3504i −8.22059 2.20270i
\(727\) −9.14098 −0.339020 −0.169510 0.985528i \(-0.554219\pi\)
−0.169510 + 0.985528i \(0.554219\pi\)
\(728\) −8.32122 2.22966i −0.308405 0.0826368i
\(729\) 73.0972i 2.70730i
\(730\) 43.7587 1.61958
\(731\) −11.1610 + 24.6259i −0.412803 + 0.910820i
\(732\) 30.3276 1.12094
\(733\) 43.5631i 1.60904i 0.593926 + 0.804519i \(0.297577\pi\)
−0.593926 + 0.804519i \(0.702423\pi\)
\(734\) −34.0056 9.11178i −1.25517 0.336322i
\(735\) −14.7814 −0.545220
\(736\) 1.56696 + 0.419865i 0.0577588 + 0.0154764i
\(737\) −22.5307 + 84.0857i −0.829929 + 3.09734i
\(738\) −10.8945 + 2.91916i −0.401031 + 0.107456i
\(739\) 12.5990i 0.463460i −0.972780 0.231730i \(-0.925561\pi\)
0.972780 0.231730i \(-0.0744386\pi\)
\(740\) −20.3842 11.7688i −0.749339 0.432631i
\(741\) 6.73143 25.1220i 0.247285 0.922881i
\(742\) 14.1041 + 14.1041i 0.517778 + 0.517778i
\(743\) −5.02360 1.34607i −0.184298 0.0493825i 0.165490 0.986212i \(-0.447080\pi\)
−0.349788 + 0.936829i \(0.613746\pi\)
\(744\) 5.12142 8.87056i 0.187760 0.325210i
\(745\) 6.10147 + 22.7710i 0.223541 + 0.834265i
\(746\) −41.1457 23.7555i −1.50645 0.869750i
\(747\) −69.5478 −2.54462
\(748\) −40.1145 60.9516i −1.46673 2.22861i
\(749\) 6.20707 10.7510i 0.226801 0.392831i
\(750\) 55.7073 32.1626i 2.03414 1.17441i
\(751\) 36.8333 + 9.86946i 1.34407 + 0.360142i 0.857942 0.513747i \(-0.171743\pi\)
0.486126 + 0.873889i \(0.338410\pi\)
\(752\) 26.1313 0.952910
\(753\) −28.7172 + 28.7172i −1.04651 + 1.04651i
\(754\) 7.27162 27.1380i 0.264817 0.988309i
\(755\) 12.0259 44.8811i 0.437666 1.63339i
\(756\) 111.366 + 64.2970i 4.05033 + 2.33846i
\(757\) 28.1628 + 16.2598i 1.02360 + 0.590973i 0.915144 0.403128