Properties

Label 390.2.bh.c.71.2
Level $390$
Weight $2$
Character 390.71
Analytic conductor $3.114$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bh (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.2
Character \(\chi\) \(=\) 390.71
Dual form 390.2.bh.c.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.39472 + 1.02701i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.707107 - 0.707107i) q^{5} +(1.08139 - 1.35299i) q^{6} +(-0.213554 + 0.796995i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.890511 - 2.86478i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-1.39472 + 1.02701i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.707107 - 0.707107i) q^{5} +(1.08139 - 1.35299i) q^{6} +(-0.213554 + 0.796995i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.890511 - 2.86478i) q^{9} +(0.866025 + 0.500000i) q^{10} +(-0.981698 - 3.66375i) q^{11} +(-0.694363 + 1.58678i) q^{12} +(3.42697 + 1.12067i) q^{13} -0.825110i q^{14} +(1.71242 + 0.260015i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.49980 + 2.59772i) q^{17} +(-0.118707 + 2.99765i) q^{18} +(1.17350 + 0.314438i) q^{19} +(-0.965926 - 0.258819i) q^{20} +(-0.520671 - 1.33091i) q^{21} +(1.89649 + 3.28482i) q^{22} +(1.76190 - 3.05169i) q^{23} +(0.260015 - 1.71242i) q^{24} +1.00000i q^{25} +(-3.60025 - 0.195522i) q^{26} +(1.70014 + 4.91015i) q^{27} +(0.213554 + 0.796995i) q^{28} +(6.48200 + 3.74239i) q^{29} +(-1.72137 + 0.192053i) q^{30} +(0.00278407 - 0.00278407i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(5.13189 + 4.10170i) q^{33} +(-2.12103 - 2.12103i) q^{34} +(0.714566 - 0.412555i) q^{35} +(-0.661187 - 2.92623i) q^{36} +(10.9895 - 2.94462i) q^{37} -1.21489 q^{38} +(-5.93061 + 1.95649i) q^{39} +1.00000 q^{40} +(4.61510 - 1.23661i) q^{41} +(0.847394 + 1.15080i) q^{42} +(3.40698 - 1.96702i) q^{43} +(-2.68205 - 2.68205i) q^{44} +(-2.65539 + 1.39602i) q^{45} +(-0.912024 + 3.40372i) q^{46} +(-7.01463 + 7.01463i) q^{47} +(0.192053 + 1.72137i) q^{48} +(5.47258 + 3.15960i) q^{49} +(-0.258819 - 0.965926i) q^{50} +(-4.75968 - 2.08280i) q^{51} +(3.52818 - 0.742952i) q^{52} +4.90674i q^{53} +(-2.91305 - 4.30281i) q^{54} +(-1.89649 + 3.28482i) q^{55} +(-0.412555 - 0.714566i) q^{56} +(-1.95964 + 0.766637i) q^{57} +(-7.22973 - 1.93720i) q^{58} +(4.67330 + 1.25221i) q^{59} +(1.61301 - 0.631032i) q^{60} +(-6.87481 - 11.9075i) q^{61} +(-0.00196864 + 0.00340978i) q^{62} +(2.09305 + 1.32152i) q^{63} -1.00000i q^{64} +(-1.63080 - 3.21567i) q^{65} +(-6.01863 - 2.63371i) q^{66} +(-3.00389 - 11.2107i) q^{67} +(2.59772 + 1.49980i) q^{68} +(0.676753 + 6.06575i) q^{69} +(-0.583441 + 0.583441i) q^{70} +(1.52747 - 5.70060i) q^{71} +(1.39602 + 2.65539i) q^{72} +(-8.49044 - 8.49044i) q^{73} +(-9.85289 + 5.68857i) q^{74} +(-1.02701 - 1.39472i) q^{75} +(1.17350 - 0.314438i) q^{76} +3.12963 q^{77} +(5.22215 - 3.42478i) q^{78} +5.90955 q^{79} +(-0.965926 + 0.258819i) q^{80} +(-7.41398 - 5.10224i) q^{81} +(-4.13778 + 2.38895i) q^{82} +(-5.36244 - 5.36244i) q^{83} +(-1.11637 - 0.892267i) q^{84} +(0.776351 - 2.89738i) q^{85} +(-2.78179 + 2.78179i) q^{86} +(-12.8841 + 1.43747i) q^{87} +(3.28482 + 1.89649i) q^{88} +(1.85846 + 6.93588i) q^{89} +(2.20360 - 2.03572i) q^{90} +(-1.62501 + 2.49195i) q^{91} -3.52379i q^{92} +(-0.00102375 + 0.00674227i) q^{93} +(4.96009 - 8.59113i) q^{94} +(-0.607447 - 1.05213i) q^{95} +(-0.631032 - 1.61301i) q^{96} +(-7.65690 - 2.05166i) q^{97} +(-6.10387 - 1.63553i) q^{98} +(-11.3701 - 0.450254i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q + 8 q^{6} - 8 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q + 8 q^{6} - 8 q^{7} + 8 q^{9} + 8 q^{13} + 4 q^{15} + 20 q^{16} - 8 q^{18} - 16 q^{19} + 4 q^{21} - 8 q^{22} + 8 q^{24} - 48 q^{27} + 8 q^{28} + 36 q^{31} + 12 q^{33} + 16 q^{34} - 12 q^{36} - 64 q^{37} - 60 q^{39} + 40 q^{40} - 12 q^{42} + 8 q^{45} - 32 q^{46} + 48 q^{49} + 24 q^{52} - 28 q^{54} + 8 q^{55} - 76 q^{57} - 28 q^{58} + 4 q^{60} - 40 q^{61} + 80 q^{63} + 40 q^{66} - 28 q^{67} - 36 q^{69} + 16 q^{70} + 16 q^{72} + 8 q^{73} - 16 q^{76} - 28 q^{78} + 40 q^{79} + 12 q^{81} + 20 q^{84} + 44 q^{85} + 40 q^{87} + 12 q^{88} + 120 q^{91} - 8 q^{93} - 16 q^{94} + 4 q^{96} - 160 q^{97} - 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −1.39472 + 1.02701i −0.805244 + 0.592943i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.707107 0.707107i −0.316228 0.316228i
\(6\) 1.08139 1.35299i 0.441476 0.552358i
\(7\) −0.213554 + 0.796995i −0.0807159 + 0.301236i −0.994469 0.105035i \(-0.966504\pi\)
0.913753 + 0.406271i \(0.133171\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.890511 2.86478i 0.296837 0.954928i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) −0.981698 3.66375i −0.295993 1.10466i −0.940426 0.340000i \(-0.889573\pi\)
0.644433 0.764661i \(-0.277094\pi\)
\(12\) −0.694363 + 1.58678i −0.200445 + 0.458063i
\(13\) 3.42697 + 1.12067i 0.950469 + 0.310819i
\(14\) 0.825110i 0.220520i
\(15\) 1.71242 + 0.260015i 0.442146 + 0.0671356i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.49980 + 2.59772i 0.363754 + 0.630040i 0.988575 0.150727i \(-0.0481616\pi\)
−0.624822 + 0.780768i \(0.714828\pi\)
\(18\) −0.118707 + 2.99765i −0.0279795 + 0.706553i
\(19\) 1.17350 + 0.314438i 0.269219 + 0.0721370i 0.390903 0.920432i \(-0.372163\pi\)
−0.121684 + 0.992569i \(0.538829\pi\)
\(20\) −0.965926 0.258819i −0.215988 0.0578737i
\(21\) −0.520671 1.33091i −0.113620 0.290428i
\(22\) 1.89649 + 3.28482i 0.404334 + 0.700327i
\(23\) 1.76190 3.05169i 0.367381 0.636322i −0.621775 0.783196i \(-0.713588\pi\)
0.989155 + 0.146874i \(0.0469213\pi\)
\(24\) 0.260015 1.71242i 0.0530753 0.349547i
\(25\) 1.00000i 0.200000i
\(26\) −3.60025 0.195522i −0.706066 0.0383451i
\(27\) 1.70014 + 4.91015i 0.327192 + 0.944958i
\(28\) 0.213554 + 0.796995i 0.0403580 + 0.150618i
\(29\) 6.48200 + 3.74239i 1.20368 + 0.694943i 0.961371 0.275256i \(-0.0887627\pi\)
0.242306 + 0.970200i \(0.422096\pi\)
\(30\) −1.72137 + 0.192053i −0.314278 + 0.0350638i
\(31\) 0.00278407 0.00278407i 0.000500034 0.000500034i −0.706857 0.707357i \(-0.749887\pi\)
0.707357 + 0.706857i \(0.249887\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 5.13189 + 4.10170i 0.893348 + 0.714015i
\(34\) −2.12103 2.12103i −0.363754 0.363754i
\(35\) 0.714566 0.412555i 0.120784 0.0697345i
\(36\) −0.661187 2.92623i −0.110198 0.487705i
\(37\) 10.9895 2.94462i 1.80666 0.484093i 0.811673 0.584112i \(-0.198557\pi\)
0.994985 + 0.100020i \(0.0318906\pi\)
\(38\) −1.21489 −0.197082
\(39\) −5.93061 + 1.95649i −0.949658 + 0.313289i
\(40\) 1.00000 0.158114
\(41\) 4.61510 1.23661i 0.720757 0.193126i 0.120247 0.992744i \(-0.461631\pi\)
0.600509 + 0.799618i \(0.294965\pi\)
\(42\) 0.847394 + 1.15080i 0.130756 + 0.177572i
\(43\) 3.40698 1.96702i 0.519560 0.299968i −0.217195 0.976128i \(-0.569691\pi\)
0.736755 + 0.676160i \(0.236357\pi\)
\(44\) −2.68205 2.68205i −0.404334 0.404334i
\(45\) −2.65539 + 1.39602i −0.395843 + 0.208107i
\(46\) −0.912024 + 3.40372i −0.134471 + 0.501851i
\(47\) −7.01463 + 7.01463i −1.02319 + 1.02319i −0.0234640 + 0.999725i \(0.507470\pi\)
−0.999725 + 0.0234640i \(0.992530\pi\)
\(48\) 0.192053 + 1.72137i 0.0277204 + 0.248458i
\(49\) 5.47258 + 3.15960i 0.781797 + 0.451371i
\(50\) −0.258819 0.965926i −0.0366025 0.136603i
\(51\) −4.75968 2.08280i −0.666489 0.291651i
\(52\) 3.52818 0.742952i 0.489270 0.103029i
\(53\) 4.90674i 0.673992i 0.941506 + 0.336996i \(0.109411\pi\)
−0.941506 + 0.336996i \(0.890589\pi\)
\(54\) −2.91305 4.30281i −0.396415 0.585538i
\(55\) −1.89649 + 3.28482i −0.255723 + 0.442926i
\(56\) −0.412555 0.714566i −0.0551300 0.0954880i
\(57\) −1.95964 + 0.766637i −0.259560 + 0.101544i
\(58\) −7.22973 1.93720i −0.949310 0.254367i
\(59\) 4.67330 + 1.25221i 0.608412 + 0.163024i 0.549854 0.835261i \(-0.314683\pi\)
0.0585576 + 0.998284i \(0.481350\pi\)
\(60\) 1.61301 0.631032i 0.208239 0.0814659i
\(61\) −6.87481 11.9075i −0.880230 1.52460i −0.851085 0.525027i \(-0.824055\pi\)
−0.0291445 0.999575i \(-0.509278\pi\)
\(62\) −0.00196864 + 0.00340978i −0.000250017 + 0.000433042i
\(63\) 2.09305 + 1.32152i 0.263699 + 0.166496i
\(64\) 1.00000i 0.125000i
\(65\) −1.63080 3.21567i −0.202275 0.398854i
\(66\) −6.01863 2.63371i −0.740842 0.324187i
\(67\) −3.00389 11.2107i −0.366984 1.36960i −0.864711 0.502269i \(-0.832499\pi\)
0.497727 0.867334i \(-0.334168\pi\)
\(68\) 2.59772 + 1.49980i 0.315020 + 0.181877i
\(69\) 0.676753 + 6.06575i 0.0814715 + 0.730230i
\(70\) −0.583441 + 0.583441i −0.0697345 + 0.0697345i
\(71\) 1.52747 5.70060i 0.181277 0.676537i −0.814119 0.580698i \(-0.802780\pi\)
0.995397 0.0958392i \(-0.0305535\pi\)
\(72\) 1.39602 + 2.65539i 0.164523 + 0.312941i
\(73\) −8.49044 8.49044i −0.993730 0.993730i 0.00625000 0.999980i \(-0.498011\pi\)
−0.999980 + 0.00625000i \(0.998011\pi\)
\(74\) −9.85289 + 5.68857i −1.14538 + 0.661283i
\(75\) −1.02701 1.39472i −0.118589 0.161049i
\(76\) 1.17350 0.314438i 0.134609 0.0360685i
\(77\) 3.12963 0.356655
\(78\) 5.22215 3.42478i 0.591292 0.387780i
\(79\) 5.90955 0.664877 0.332438 0.943125i \(-0.392129\pi\)
0.332438 + 0.943125i \(0.392129\pi\)
\(80\) −0.965926 + 0.258819i −0.107994 + 0.0289368i
\(81\) −7.41398 5.10224i −0.823776 0.566916i
\(82\) −4.13778 + 2.38895i −0.456942 + 0.263815i
\(83\) −5.36244 5.36244i −0.588605 0.588605i 0.348649 0.937253i \(-0.386641\pi\)
−0.937253 + 0.348649i \(0.886641\pi\)
\(84\) −1.11637 0.892267i −0.121806 0.0973543i
\(85\) 0.776351 2.89738i 0.0842071 0.314265i
\(86\) −2.78179 + 2.78179i −0.299968 + 0.299968i
\(87\) −12.8841 + 1.43747i −1.38132 + 0.154113i
\(88\) 3.28482 + 1.89649i 0.350163 + 0.202167i
\(89\) 1.85846 + 6.93588i 0.196997 + 0.735202i 0.991741 + 0.128257i \(0.0409384\pi\)
−0.794744 + 0.606945i \(0.792395\pi\)
\(90\) 2.20360 2.03572i 0.232280 0.214584i
\(91\) −1.62501 + 2.49195i −0.170348 + 0.261227i
\(92\) 3.52379i 0.367381i
\(93\) −0.00102375 + 0.00674227i −0.000106158 + 0.000699141i
\(94\) 4.96009 8.59113i 0.511594 0.886107i
\(95\) −0.607447 1.05213i −0.0623228 0.107946i
\(96\) −0.631032 1.61301i −0.0644044 0.164627i
\(97\) −7.65690 2.05166i −0.777440 0.208314i −0.151784 0.988414i \(-0.548502\pi\)
−0.625656 + 0.780099i \(0.715169\pi\)
\(98\) −6.10387 1.63553i −0.616584 0.165213i
\(99\) −11.3701 0.450254i −1.14273 0.0452522i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 7.69191 13.3228i 0.765374 1.32567i −0.174675 0.984626i \(-0.555887\pi\)
0.940049 0.341041i \(-0.110779\pi\)
\(102\) 5.13657 + 0.779939i 0.508596 + 0.0772254i
\(103\) 16.3952i 1.61547i 0.589548 + 0.807733i \(0.299306\pi\)
−0.589548 + 0.807733i \(0.700694\pi\)
\(104\) −3.21567 + 1.63080i −0.315322 + 0.159913i
\(105\) −0.572926 + 1.30927i −0.0559118 + 0.127771i
\(106\) −1.26996 4.73954i −0.123349 0.460345i
\(107\) −0.677545 0.391181i −0.0655008 0.0378169i 0.466892 0.884314i \(-0.345374\pi\)
−0.532393 + 0.846497i \(0.678707\pi\)
\(108\) 3.92744 + 3.40224i 0.377918 + 0.327381i
\(109\) −0.503685 + 0.503685i −0.0482443 + 0.0482443i −0.730817 0.682573i \(-0.760861\pi\)
0.682573 + 0.730817i \(0.260861\pi\)
\(110\) 0.981698 3.66375i 0.0936012 0.349324i
\(111\) −12.3031 + 15.3932i −1.16776 + 1.46106i
\(112\) 0.583441 + 0.583441i 0.0551300 + 0.0551300i
\(113\) −5.41625 + 3.12708i −0.509518 + 0.294170i −0.732636 0.680621i \(-0.761710\pi\)
0.223117 + 0.974792i \(0.428377\pi\)
\(114\) 1.69444 1.24771i 0.158699 0.116858i
\(115\) −3.40372 + 0.912024i −0.317399 + 0.0850467i
\(116\) 7.48477 0.694943
\(117\) 6.26224 8.81955i 0.578944 0.815367i
\(118\) −4.83816 −0.445389
\(119\) −2.39066 + 0.640575i −0.219151 + 0.0587215i
\(120\) −1.39472 + 1.02701i −0.127320 + 0.0937525i
\(121\) −2.93302 + 1.69338i −0.266638 + 0.153944i
\(122\) 9.72246 + 9.72246i 0.880230 + 0.880230i
\(123\) −5.16678 + 6.46447i −0.465873 + 0.582882i
\(124\) 0.00101904 0.00380311i 9.15126e−5 0.000341530i
\(125\) 0.707107 0.707107i 0.0632456 0.0632456i
\(126\) −2.36376 0.734770i −0.210581 0.0654585i
\(127\) 0.683797 + 0.394790i 0.0606771 + 0.0350320i 0.530032 0.847978i \(-0.322180\pi\)
−0.469355 + 0.883010i \(0.655513\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −2.73165 + 6.24245i −0.240509 + 0.549617i
\(130\) 2.40750 + 2.68401i 0.211152 + 0.235404i
\(131\) 0.615603i 0.0537854i 0.999638 + 0.0268927i \(0.00856125\pi\)
−0.999638 + 0.0268927i \(0.991439\pi\)
\(132\) 6.49520 + 0.986234i 0.565335 + 0.0858406i
\(133\) −0.501211 + 0.868123i −0.0434605 + 0.0752758i
\(134\) 5.80308 + 10.0512i 0.501309 + 0.868293i
\(135\) 2.26982 4.67418i 0.195355 0.402289i
\(136\) −2.89738 0.776351i −0.248448 0.0665716i
\(137\) 10.3607 + 2.77613i 0.885172 + 0.237181i 0.672637 0.739973i \(-0.265162\pi\)
0.212534 + 0.977154i \(0.431828\pi\)
\(138\) −2.22362 5.68391i −0.189287 0.483846i
\(139\) 11.5899 + 20.0743i 0.983042 + 1.70268i 0.650331 + 0.759651i \(0.274630\pi\)
0.332711 + 0.943029i \(0.392037\pi\)
\(140\) 0.412555 0.714566i 0.0348673 0.0603919i
\(141\) 2.57940 16.9875i 0.217224 1.43061i
\(142\) 5.90170i 0.495259i
\(143\) 0.741614 13.6557i 0.0620168 1.14195i
\(144\) −2.03572 2.20360i −0.169643 0.183633i
\(145\) −1.93720 7.22973i −0.160876 0.600397i
\(146\) 10.3986 + 6.00365i 0.860596 + 0.496865i
\(147\) −10.8777 + 1.21362i −0.897175 + 0.100097i
\(148\) 8.04485 8.04485i 0.661283 0.661283i
\(149\) 1.19718 4.46795i 0.0980772 0.366029i −0.899391 0.437145i \(-0.855990\pi\)
0.997468 + 0.0711164i \(0.0226562\pi\)
\(150\) 1.35299 + 1.08139i 0.110472 + 0.0882952i
\(151\) −5.26555 5.26555i −0.428504 0.428504i 0.459614 0.888119i \(-0.347988\pi\)
−0.888119 + 0.459614i \(0.847988\pi\)
\(152\) −1.05213 + 0.607447i −0.0853390 + 0.0492705i
\(153\) 8.77750 1.98329i 0.709619 0.160340i
\(154\) −3.02299 + 0.810009i −0.243600 + 0.0652724i
\(155\) −0.00393727 −0.000316249
\(156\) −4.15781 + 4.65968i −0.332892 + 0.373073i
\(157\) 4.36770 0.348580 0.174290 0.984694i \(-0.444237\pi\)
0.174290 + 0.984694i \(0.444237\pi\)
\(158\) −5.70819 + 1.52950i −0.454119 + 0.121681i
\(159\) −5.03925 6.84354i −0.399639 0.542728i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) 2.05592 + 2.05592i 0.162030 + 0.162030i
\(162\) 8.48191 + 3.00951i 0.666402 + 0.236450i
\(163\) 1.31903 4.92267i 0.103314 0.385574i −0.894834 0.446398i \(-0.852706\pi\)
0.998148 + 0.0608248i \(0.0193731\pi\)
\(164\) 3.37848 3.37848i 0.263815 0.263815i
\(165\) −0.728453 6.52914i −0.0567100 0.508293i
\(166\) 6.56762 + 3.79182i 0.509747 + 0.294302i
\(167\) 2.38628 + 8.90571i 0.184656 + 0.689144i 0.994704 + 0.102781i \(0.0327742\pi\)
−0.810048 + 0.586363i \(0.800559\pi\)
\(168\) 1.30927 + 0.572926i 0.101012 + 0.0442022i
\(169\) 10.4882 + 7.68101i 0.806784 + 0.590847i
\(170\) 2.99959i 0.230058i
\(171\) 1.94581 3.08181i 0.148800 0.235672i
\(172\) 1.96702 3.40698i 0.149984 0.259780i
\(173\) −2.74926 4.76186i −0.209023 0.362038i 0.742384 0.669974i \(-0.233695\pi\)
−0.951407 + 0.307937i \(0.900362\pi\)
\(174\) 12.0730 4.72313i 0.915252 0.358059i
\(175\) −0.796995 0.213554i −0.0602472 0.0161432i
\(176\) −3.66375 0.981698i −0.276165 0.0739982i
\(177\) −7.80399 + 3.05303i −0.586584 + 0.229480i
\(178\) −3.59028 6.21854i −0.269103 0.466100i
\(179\) −2.40507 + 4.16571i −0.179764 + 0.311360i −0.941800 0.336175i \(-0.890867\pi\)
0.762036 + 0.647535i \(0.224200\pi\)
\(180\) −1.60163 + 2.53669i −0.119378 + 0.189074i
\(181\) 9.68726i 0.720048i 0.932943 + 0.360024i \(0.117232\pi\)
−0.932943 + 0.360024i \(0.882768\pi\)
\(182\) 0.924678 2.82762i 0.0685417 0.209597i
\(183\) 21.8176 + 9.54723i 1.61280 + 0.705752i
\(184\) 0.912024 + 3.40372i 0.0672353 + 0.250926i
\(185\) −9.85289 5.68857i −0.724399 0.418232i
\(186\) −0.000756163 0.00677750i −5.54446e−5 0.000496951i
\(187\) 8.04505 8.04505i 0.588312 0.588312i
\(188\) −2.56753 + 9.58216i −0.187257 + 0.698851i
\(189\) −4.27643 + 0.306419i −0.311065 + 0.0222887i
\(190\) 0.859060 + 0.859060i 0.0623228 + 0.0623228i
\(191\) 4.55237 2.62831i 0.329398 0.190178i −0.326176 0.945309i \(-0.605760\pi\)
0.655574 + 0.755131i \(0.272427\pi\)
\(192\) 1.02701 + 1.39472i 0.0741179 + 0.100656i
\(193\) −0.170227 + 0.0456122i −0.0122532 + 0.00328324i −0.264940 0.964265i \(-0.585352\pi\)
0.252687 + 0.967548i \(0.418686\pi\)
\(194\) 7.92700 0.569126
\(195\) 5.57702 + 2.81013i 0.399379 + 0.201237i
\(196\) 6.31919 0.451371
\(197\) 7.06564 1.89323i 0.503406 0.134887i 0.00182570 0.999998i \(-0.499419\pi\)
0.501580 + 0.865111i \(0.332752\pi\)
\(198\) 11.0992 2.50787i 0.788783 0.178227i
\(199\) −16.9120 + 9.76412i −1.19886 + 0.692160i −0.960300 0.278969i \(-0.910007\pi\)
−0.238556 + 0.971129i \(0.576674\pi\)
\(200\) −0.707107 0.707107i −0.0500000 0.0500000i
\(201\) 15.7031 + 12.5508i 1.10761 + 0.885264i
\(202\) −3.98163 + 14.8596i −0.280146 + 1.04552i
\(203\) −4.36692 + 4.36692i −0.306498 + 0.306498i
\(204\) −5.16341 + 0.576079i −0.361511 + 0.0403336i
\(205\) −4.13778 2.38895i −0.288995 0.166851i
\(206\) −4.24339 15.8365i −0.295651 1.10338i
\(207\) −7.17345 7.76502i −0.498589 0.539706i
\(208\) 2.68401 2.40750i 0.186103 0.166930i
\(209\) 4.60808i 0.318748i
\(210\) 0.214541 1.41294i 0.0148047 0.0975020i
\(211\) −3.04589 + 5.27563i −0.209688 + 0.363189i −0.951616 0.307289i \(-0.900578\pi\)
0.741929 + 0.670479i \(0.233911\pi\)
\(212\) 2.45337 + 4.24936i 0.168498 + 0.291847i
\(213\) 3.72416 + 9.51949i 0.255175 + 0.652265i
\(214\) 0.755704 + 0.202490i 0.0516588 + 0.0138419i
\(215\) −3.79999 1.01821i −0.259157 0.0694410i
\(216\) −4.67418 2.26982i −0.318037 0.154442i
\(217\) 0.00162434 + 0.00281344i 0.000110267 + 0.000190989i
\(218\) 0.356159 0.616886i 0.0241221 0.0417808i
\(219\) 20.5616 + 3.12208i 1.38942 + 0.210970i
\(220\) 3.79299i 0.255723i
\(221\) 2.22855 + 10.5831i 0.149909 + 0.711895i
\(222\) 7.89986 18.0530i 0.530204 1.21164i
\(223\) −2.15128 8.02867i −0.144060 0.537640i −0.999795 0.0202258i \(-0.993561\pi\)
0.855735 0.517414i \(-0.173105\pi\)
\(224\) −0.714566 0.412555i −0.0477440 0.0275650i
\(225\) 2.86478 + 0.890511i 0.190986 + 0.0593674i
\(226\) 4.42235 4.42235i 0.294170 0.294170i
\(227\) 5.28248 19.7145i 0.350611 1.30850i −0.535309 0.844657i \(-0.679805\pi\)
0.885919 0.463840i \(-0.153529\pi\)
\(228\) −1.31378 + 1.64375i −0.0870070 + 0.108860i
\(229\) −0.725435 0.725435i −0.0479381 0.0479381i 0.682731 0.730669i \(-0.260792\pi\)
−0.730669 + 0.682731i \(0.760792\pi\)
\(230\) 3.05169 1.76190i 0.201223 0.116176i
\(231\) −4.36498 + 3.21416i −0.287194 + 0.211476i
\(232\) −7.22973 + 1.93720i −0.474655 + 0.127183i
\(233\) −11.6818 −0.765300 −0.382650 0.923893i \(-0.624988\pi\)
−0.382650 + 0.923893i \(0.624988\pi\)
\(234\) −3.76619 + 10.1398i −0.246203 + 0.662860i
\(235\) 9.92018 0.647121
\(236\) 4.67330 1.25221i 0.304206 0.0815118i
\(237\) −8.24220 + 6.06916i −0.535388 + 0.394234i
\(238\) 2.14341 1.23750i 0.138936 0.0802150i
\(239\) −14.3879 14.3879i −0.930674 0.930674i 0.0670742 0.997748i \(-0.478634\pi\)
−0.997748 + 0.0670742i \(0.978634\pi\)
\(240\) 1.08139 1.35299i 0.0698035 0.0873354i
\(241\) −4.66870 + 17.4238i −0.300738 + 1.12237i 0.635815 + 0.771841i \(0.280664\pi\)
−0.936553 + 0.350527i \(0.886003\pi\)
\(242\) 2.39480 2.39480i 0.153944 0.153944i
\(243\) 15.5805 0.497989i 0.999490 0.0319460i
\(244\) −11.9075 6.87481i −0.762301 0.440115i
\(245\) −1.63553 6.10387i −0.104490 0.389962i
\(246\) 3.31760 7.58146i 0.211522 0.483376i
\(247\) 3.66916 + 2.39267i 0.233463 + 0.152242i
\(248\) 0.00393727i 0.000250017i
\(249\) 12.9864 + 1.97186i 0.822980 + 0.124962i
\(250\) −0.500000 + 0.866025i −0.0316228 + 0.0547723i
\(251\) 14.7378 + 25.5266i 0.930242 + 1.61123i 0.782906 + 0.622139i \(0.213736\pi\)
0.147335 + 0.989087i \(0.452930\pi\)
\(252\) 2.47339 + 0.0979463i 0.155809 + 0.00617004i
\(253\) −12.9103 3.45930i −0.811662 0.217484i
\(254\) −0.762676 0.204358i −0.0478546 0.0128226i
\(255\) 1.89284 + 4.83837i 0.118534 + 0.302990i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −6.45733 + 11.1844i −0.402797 + 0.697665i −0.994062 0.108812i \(-0.965295\pi\)
0.591265 + 0.806477i \(0.298629\pi\)
\(258\) 1.02291 6.73675i 0.0636836 0.419411i
\(259\) 9.38739i 0.583304i
\(260\) −3.02014 1.96945i −0.187301 0.122140i
\(261\) 16.4934 15.2369i 1.02092 0.943140i
\(262\) −0.159330 0.594626i −0.00984342 0.0367361i
\(263\) −23.8997 13.7985i −1.47372 0.850850i −0.474154 0.880442i \(-0.657246\pi\)
−0.999562 + 0.0295919i \(0.990579\pi\)
\(264\) −6.52914 + 0.728453i −0.401841 + 0.0448332i
\(265\) 3.46959 3.46959i 0.213135 0.213135i
\(266\) 0.259446 0.968265i 0.0159077 0.0593682i
\(267\) −9.71525 7.76499i −0.594564 0.475210i
\(268\) −8.20679 8.20679i −0.501309 0.501309i
\(269\) 18.1139 10.4581i 1.10442 0.637639i 0.167044 0.985949i \(-0.446578\pi\)
0.937379 + 0.348310i \(0.113244\pi\)
\(270\) −0.982710 + 5.10238i −0.0598058 + 0.310521i
\(271\) −15.0716 + 4.03842i −0.915534 + 0.245316i −0.685675 0.727908i \(-0.740493\pi\)
−0.229858 + 0.973224i \(0.573826\pi\)
\(272\) 2.99959 0.181877
\(273\) −0.292807 5.14449i −0.0177215 0.311358i
\(274\) −10.7262 −0.647991
\(275\) 3.66375 0.981698i 0.220932 0.0591986i
\(276\) 3.61896 + 4.91472i 0.217836 + 0.295831i
\(277\) −21.0524 + 12.1546i −1.26492 + 0.730301i −0.974022 0.226453i \(-0.927287\pi\)
−0.290897 + 0.956754i \(0.593954\pi\)
\(278\) −16.3906 16.3906i −0.983042 0.983042i
\(279\) −0.00549652 0.0104550i −0.000329068 0.000625925i
\(280\) −0.213554 + 0.796995i −0.0127623 + 0.0476296i
\(281\) −16.7143 + 16.7143i −0.997090 + 0.997090i −0.999996 0.00290627i \(-0.999075\pi\)
0.00290627 + 0.999996i \(0.499075\pi\)
\(282\) 1.90520 + 17.0763i 0.113453 + 1.01688i
\(283\) 19.5493 + 11.2868i 1.16208 + 0.670930i 0.951803 0.306711i \(-0.0992285\pi\)
0.210282 + 0.977641i \(0.432562\pi\)
\(284\) −1.52747 5.70060i −0.0906387 0.338268i
\(285\) 1.92777 + 0.843578i 0.114191 + 0.0499692i
\(286\) 2.81801 + 13.3823i 0.166632 + 0.791314i
\(287\) 3.94229i 0.232706i
\(288\) 2.53669 + 1.60163i 0.149476 + 0.0943769i
\(289\) 4.00123 6.93033i 0.235366 0.407666i
\(290\) 3.74239 + 6.48200i 0.219760 + 0.380636i
\(291\) 12.7863 5.00219i 0.749548 0.293234i
\(292\) −11.5982 3.10772i −0.678731 0.181865i
\(293\) 27.9435 + 7.48743i 1.63247 + 0.437420i 0.954632 0.297787i \(-0.0962484\pi\)
0.677843 + 0.735207i \(0.262915\pi\)
\(294\) 10.1929 3.98761i 0.594463 0.232562i
\(295\) −2.41908 4.18997i −0.140844 0.243949i
\(296\) −5.68857 + 9.85289i −0.330641 + 0.572688i
\(297\) 16.3205 11.0492i 0.947012 0.641137i
\(298\) 4.62556i 0.267952i
\(299\) 9.45790 8.48354i 0.546965 0.490616i
\(300\) −1.58678 0.694363i −0.0916126 0.0400891i
\(301\) 0.840132 + 3.13541i 0.0484244 + 0.180722i
\(302\) 6.44895 + 3.72330i 0.371095 + 0.214252i
\(303\) 2.95450 + 26.4813i 0.169732 + 1.52131i
\(304\) 0.859060 0.859060i 0.0492705 0.0492705i
\(305\) −3.55867 + 13.2811i −0.203769 + 0.760475i
\(306\) −7.96510 + 4.18750i −0.455334 + 0.239383i
\(307\) −5.27808 5.27808i −0.301236 0.301236i 0.540261 0.841497i \(-0.318325\pi\)
−0.841497 + 0.540261i \(0.818325\pi\)
\(308\) 2.71034 1.56482i 0.154436 0.0891637i
\(309\) −16.8380 22.8668i −0.957880 1.30085i
\(310\) 0.00380311 0.00101904i 0.000216002 5.78776e-5i
\(311\) 17.2916 0.980516 0.490258 0.871577i \(-0.336903\pi\)
0.490258 + 0.871577i \(0.336903\pi\)
\(312\) 2.81013 5.57702i 0.159092 0.315737i
\(313\) −3.71423 −0.209941 −0.104970 0.994475i \(-0.533475\pi\)
−0.104970 + 0.994475i \(0.533475\pi\)
\(314\) −4.21887 + 1.13044i −0.238085 + 0.0637946i
\(315\) −0.545552 2.41446i −0.0307384 0.136040i
\(316\) 5.11782 2.95478i 0.287900 0.166219i
\(317\) −11.8820 11.8820i −0.667358 0.667358i 0.289746 0.957104i \(-0.406429\pi\)
−0.957104 + 0.289746i \(0.906429\pi\)
\(318\) 6.63879 + 5.30610i 0.372285 + 0.297551i
\(319\) 7.34778 27.4223i 0.411397 1.53535i
\(320\) −0.707107 + 0.707107i −0.0395285 + 0.0395285i
\(321\) 1.34673 0.150255i 0.0751674 0.00838639i
\(322\) −2.51798 1.45376i −0.140322 0.0810148i
\(323\) 0.943185 + 3.52001i 0.0524802 + 0.195859i
\(324\) −8.97182 0.711684i −0.498434 0.0395380i
\(325\) −1.12067 + 3.42697i −0.0621637 + 0.190094i
\(326\) 5.09633i 0.282259i
\(327\) 0.185213 1.21979i 0.0102423 0.0674545i
\(328\) −2.38895 + 4.13778i −0.131908 + 0.228471i
\(329\) −4.09262 7.08863i −0.225634 0.390809i
\(330\) 2.39350 + 6.11813i 0.131758 + 0.336792i
\(331\) −18.7857 5.03361i −1.03256 0.276672i −0.297531 0.954712i \(-0.596163\pi\)
−0.735025 + 0.678040i \(0.762830\pi\)
\(332\) −7.32523 1.96279i −0.402024 0.107722i
\(333\) 1.35055 34.1047i 0.0740094 1.86893i
\(334\) −4.60993 7.98464i −0.252244 0.436900i
\(335\) −5.80308 + 10.0512i −0.317056 + 0.549157i
\(336\) −1.41294 0.214541i −0.0770821 0.0117042i
\(337\) 29.4143i 1.60230i 0.598465 + 0.801149i \(0.295777\pi\)
−0.598465 + 0.801149i \(0.704223\pi\)
\(338\) −12.1188 4.70474i −0.659176 0.255904i
\(339\) 4.34265 9.92394i 0.235860 0.538994i
\(340\) −0.776351 2.89738i −0.0421036 0.157133i
\(341\) −0.0129332 0.00746701i −0.000700375 0.000404361i
\(342\) −1.08188 + 3.48041i −0.0585012 + 0.188199i
\(343\) −7.77096 + 7.77096i −0.419593 + 0.419593i
\(344\) −1.01821 + 3.79999i −0.0548980 + 0.204882i
\(345\) 3.81060 4.76767i 0.205156 0.256683i
\(346\) 3.88804 + 3.88804i 0.209023 + 0.209023i
\(347\) −18.3677 + 10.6046i −0.986030 + 0.569285i −0.904085 0.427352i \(-0.859446\pi\)
−0.0819448 + 0.996637i \(0.526113\pi\)
\(348\) −10.4392 + 7.68692i −0.559599 + 0.412062i
\(349\) −15.5273 + 4.16053i −0.831157 + 0.222708i −0.649218 0.760602i \(-0.724904\pi\)
−0.181939 + 0.983310i \(0.558237\pi\)
\(350\) 0.825110 0.0441040
\(351\) 0.323650 + 18.7322i 0.0172752 + 0.999851i
\(352\) 3.79299 0.202167
\(353\) −31.5613 + 8.45683i −1.67984 + 0.450112i −0.967737 0.251963i \(-0.918924\pi\)
−0.712103 + 0.702075i \(0.752257\pi\)
\(354\) 6.74790 4.96882i 0.358647 0.264090i
\(355\) −5.11102 + 2.95085i −0.271265 + 0.156615i
\(356\) 5.07742 + 5.07742i 0.269103 + 0.269103i
\(357\) 2.67644 3.34865i 0.141652 0.177229i
\(358\) 1.24496 4.64624i 0.0657980 0.245562i
\(359\) −4.78448 + 4.78448i −0.252515 + 0.252515i −0.822001 0.569486i \(-0.807142\pi\)
0.569486 + 0.822001i \(0.307142\pi\)
\(360\) 0.890511 2.86478i 0.0469341 0.150987i
\(361\) −15.1763 8.76202i −0.798750 0.461159i
\(362\) −2.50725 9.35718i −0.131778 0.491802i
\(363\) 2.35164 5.37404i 0.123429 0.282064i
\(364\) −0.161327 + 2.97060i −0.00845585 + 0.155702i
\(365\) 12.0073i 0.628490i
\(366\) −23.5452 3.57511i −1.23073 0.186874i
\(367\) 6.73485 11.6651i 0.351556 0.608913i −0.634966 0.772540i \(-0.718986\pi\)
0.986522 + 0.163627i \(0.0523192\pi\)
\(368\) −1.76190 3.05169i −0.0918451 0.159080i
\(369\) 0.567170 14.3225i 0.0295257 0.745598i
\(370\) 10.9895 + 2.94462i 0.571315 + 0.153084i
\(371\) −3.91065 1.04785i −0.203031 0.0544019i
\(372\) 0.00248454 + 0.00635086i 0.000128818 + 0.000329277i
\(373\) −17.0360 29.5072i −0.882089 1.52782i −0.849014 0.528370i \(-0.822804\pi\)
−0.0330743 0.999453i \(-0.510530\pi\)
\(374\) −5.68871 + 9.85313i −0.294156 + 0.509493i
\(375\) −0.260015 + 1.71242i −0.0134271 + 0.0884291i
\(376\) 9.92018i 0.511594i
\(377\) 18.0196 + 20.0892i 0.928057 + 1.03465i
\(378\) 4.05141 1.40280i 0.208382 0.0721523i
\(379\) −6.18511 23.0832i −0.317708 1.18570i −0.921442 0.388516i \(-0.872988\pi\)
0.603734 0.797186i \(-0.293679\pi\)
\(380\) −1.05213 0.607447i −0.0539731 0.0311614i
\(381\) −1.35916 + 0.151641i −0.0696319 + 0.00776880i
\(382\) −3.71699 + 3.71699i −0.190178 + 0.190178i
\(383\) 5.87449 21.9239i 0.300172 1.12026i −0.636850 0.770988i \(-0.719763\pi\)
0.937022 0.349270i \(-0.113570\pi\)
\(384\) −1.35299 1.08139i −0.0690447 0.0551845i
\(385\) −2.21299 2.21299i −0.112784 0.112784i
\(386\) 0.152621 0.0881160i 0.00776822 0.00448499i
\(387\) −2.60114 11.5119i −0.132223 0.585184i
\(388\) −7.65690 + 2.05166i −0.388720 + 0.104157i
\(389\) −9.80108 −0.496934 −0.248467 0.968640i \(-0.579927\pi\)
−0.248467 + 0.968640i \(0.579927\pi\)
\(390\) −6.11430 1.27093i −0.309610 0.0643563i
\(391\) 10.5699 0.534544
\(392\) −6.10387 + 1.63553i −0.308292 + 0.0826066i
\(393\) −0.632228 0.858596i −0.0318917 0.0433104i
\(394\) −6.33488 + 3.65744i −0.319147 + 0.184259i
\(395\) −4.17869 4.17869i −0.210252 0.210252i
\(396\) −10.0719 + 5.29510i −0.506131 + 0.266089i
\(397\) 6.48832 24.2147i 0.325640 1.21530i −0.588028 0.808841i \(-0.700095\pi\)
0.913667 0.406463i \(-0.133238\pi\)
\(398\) 13.8085 13.8085i 0.692160 0.692160i
\(399\) −0.192518 1.72554i −0.00963794 0.0863850i
\(400\) 0.866025 + 0.500000i 0.0433013 + 0.0250000i
\(401\) 8.23082 + 30.7179i 0.411028 + 1.53398i 0.792661 + 0.609663i \(0.208695\pi\)
−0.381633 + 0.924314i \(0.624638\pi\)
\(402\) −18.4164 8.05888i −0.918525 0.401940i
\(403\) 0.0126609 0.00642089i 0.000630687 0.000319847i
\(404\) 15.3838i 0.765374i
\(405\) 1.63464 + 8.85031i 0.0812261 + 0.439775i
\(406\) 3.08788 5.34837i 0.153249 0.265435i
\(407\) −21.5767 37.3719i −1.06952 1.85246i
\(408\) 4.83837 1.89284i 0.239535 0.0937094i
\(409\) 21.7307 + 5.82273i 1.07451 + 0.287915i 0.752347 0.658767i \(-0.228922\pi\)
0.322168 + 0.946683i \(0.395588\pi\)
\(410\) 4.61510 + 1.23661i 0.227923 + 0.0610719i
\(411\) −17.3014 + 6.76854i −0.853414 + 0.333868i
\(412\) 8.19760 + 14.1987i 0.403867 + 0.699518i
\(413\) −1.99601 + 3.45719i −0.0982171 + 0.170117i
\(414\) 8.93876 + 5.64380i 0.439316 + 0.277378i
\(415\) 7.58364i 0.372266i
\(416\) −1.96945 + 3.02014i −0.0965602 + 0.148075i
\(417\) −36.7812 16.0952i −1.80118 0.788185i
\(418\) 1.19266 + 4.45107i 0.0583349 + 0.217709i
\(419\) 16.2904 + 9.40527i 0.795838 + 0.459477i 0.842014 0.539456i \(-0.181370\pi\)
−0.0461757 + 0.998933i \(0.514703\pi\)
\(420\) 0.158464 + 1.42032i 0.00773228 + 0.0693045i
\(421\) 22.9593 22.9593i 1.11897 1.11897i 0.127075 0.991893i \(-0.459441\pi\)
0.991893 0.127075i \(-0.0405590\pi\)
\(422\) 1.57667 5.88420i 0.0767510 0.286439i
\(423\) 13.8488 + 26.3420i 0.673351 + 1.28079i
\(424\) −3.46959 3.46959i −0.168498 0.168498i
\(425\) −2.59772 + 1.49980i −0.126008 + 0.0727508i
\(426\) −6.06109 8.23124i −0.293661 0.398805i
\(427\) 10.9584 2.93629i 0.530314 0.142097i
\(428\) −0.782362 −0.0378169
\(429\) 12.9902 + 19.8076i 0.627170 + 0.956318i
\(430\) 3.93404 0.189716
\(431\) 21.1395 5.66432i 1.01825 0.272840i 0.289180 0.957275i \(-0.406617\pi\)
0.729075 + 0.684434i \(0.239951\pi\)
\(432\) 5.10238 + 0.982710i 0.245488 + 0.0472807i
\(433\) −5.85090 + 3.37802i −0.281176 + 0.162337i −0.633956 0.773369i \(-0.718570\pi\)
0.352779 + 0.935707i \(0.385237\pi\)
\(434\) −0.00229717 0.00229717i −0.000110267 0.000110267i
\(435\) 10.1269 + 8.09396i 0.485545 + 0.388076i
\(436\) −0.184361 + 0.688046i −0.00882931 + 0.0329515i
\(437\) 3.02715 3.02715i 0.144808 0.144808i
\(438\) −20.6690 + 2.30603i −0.987603 + 0.110186i
\(439\) −23.5242 13.5817i −1.12275 0.648219i −0.180648 0.983548i \(-0.557819\pi\)
−0.942101 + 0.335329i \(0.891153\pi\)
\(440\) −0.981698 3.66375i −0.0468006 0.174662i
\(441\) 13.9250 12.8641i 0.663093 0.612577i
\(442\) −4.89172 9.64568i −0.232675 0.458798i
\(443\) 30.5438i 1.45118i 0.688126 + 0.725591i \(0.258434\pi\)
−0.688126 + 0.725591i \(0.741566\pi\)
\(444\) −2.95823 + 19.4825i −0.140391 + 0.924597i
\(445\) 3.59028 6.21854i 0.170195 0.294787i
\(446\) 4.15595 + 7.19831i 0.196790 + 0.340850i
\(447\) 2.91888 + 7.46108i 0.138058 + 0.352897i
\(448\) 0.796995 + 0.213554i 0.0376545 + 0.0100895i
\(449\) −14.7387 3.94923i −0.695563 0.186376i −0.106321 0.994332i \(-0.533907\pi\)
−0.589242 + 0.807956i \(0.700574\pi\)
\(450\) −2.99765 0.118707i −0.141311 0.00559590i
\(451\) −9.06126 15.6946i −0.426678 0.739028i
\(452\) −3.12708 + 5.41625i −0.147085 + 0.254759i
\(453\) 12.7517 + 1.93623i 0.599129 + 0.0909720i
\(454\) 20.4099i 0.957886i
\(455\) 2.91113 0.613018i 0.136476 0.0287387i
\(456\) 0.843578 1.92777i 0.0395041 0.0902759i
\(457\) 0.951818 + 3.55223i 0.0445242 + 0.166167i 0.984608 0.174777i \(-0.0559203\pi\)
−0.940084 + 0.340943i \(0.889254\pi\)
\(458\) 0.888473 + 0.512960i 0.0415156 + 0.0239690i
\(459\) −10.2053 + 11.7807i −0.476344 + 0.549876i
\(460\) −2.49170 + 2.49170i −0.116176 + 0.116176i
\(461\) −4.95099 + 18.4773i −0.230591 + 0.860576i 0.749497 + 0.662008i \(0.230296\pi\)
−0.980087 + 0.198568i \(0.936371\pi\)
\(462\) 3.38436 4.23438i 0.157455 0.197001i
\(463\) 28.1621 + 28.1621i 1.30880 + 1.30880i 0.922280 + 0.386523i \(0.126324\pi\)
0.386523 + 0.922280i \(0.373676\pi\)
\(464\) 6.48200 3.74239i 0.300919 0.173736i
\(465\) 0.00549141 0.00404361i 0.000254658 0.000187518i
\(466\) 11.2837 3.02347i 0.522709 0.140060i
\(467\) 31.6851 1.46621 0.733105 0.680116i \(-0.238070\pi\)
0.733105 + 0.680116i \(0.238070\pi\)
\(468\) 1.01348 10.7691i 0.0468482 0.497800i
\(469\) 9.57635 0.442195
\(470\) −9.58216 + 2.56753i −0.441992 + 0.118431i
\(471\) −6.09173 + 4.48566i −0.280692 + 0.206688i
\(472\) −4.18997 + 2.41908i −0.192859 + 0.111347i
\(473\) −10.5513 10.5513i −0.485149 0.485149i
\(474\) 6.39054 7.99559i 0.293527 0.367250i
\(475\) −0.314438 + 1.17350i −0.0144274 + 0.0538438i
\(476\) −1.75008 + 1.75008i −0.0802150 + 0.0802150i
\(477\) 14.0567 + 4.36950i 0.643614 + 0.200066i
\(478\) 17.6215 + 10.1738i 0.805987 + 0.465337i
\(479\) 6.64561 + 24.8018i 0.303646 + 1.13322i 0.934105 + 0.356999i \(0.116200\pi\)
−0.630459 + 0.776222i \(0.717133\pi\)
\(480\) −0.694363 + 1.58678i −0.0316932 + 0.0724261i
\(481\) 40.9605 + 2.22448i 1.86764 + 0.101428i
\(482\) 18.0385i 0.821631i
\(483\) −4.97890 0.755998i −0.226548 0.0343991i
\(484\) −1.69338 + 2.93302i −0.0769719 + 0.133319i
\(485\) 3.96350 + 6.86499i 0.179973 + 0.311723i
\(486\) −14.9207 + 4.51355i −0.676818 + 0.204739i
\(487\) −23.2525 6.23048i −1.05367 0.282330i −0.309903 0.950768i \(-0.600297\pi\)
−0.743768 + 0.668438i \(0.766963\pi\)
\(488\) 13.2811 + 3.55867i 0.601208 + 0.161093i
\(489\) 3.21594 + 8.22042i 0.145430 + 0.371740i
\(490\) 3.15960 + 5.47258i 0.142736 + 0.247226i
\(491\) 5.01301 8.68279i 0.226234 0.391849i −0.730455 0.682961i \(-0.760692\pi\)
0.956689 + 0.291112i \(0.0940252\pi\)
\(492\) −1.24233 + 8.18178i −0.0560083 + 0.368863i
\(493\) 22.4512i 1.01115i
\(494\) −4.16340 1.36150i −0.187320 0.0612567i
\(495\) 7.72146 + 8.35822i 0.347054 + 0.375674i
\(496\) −0.00101904 0.00380311i −4.57563e−5 0.000170765i
\(497\) 4.21715 + 2.43477i 0.189165 + 0.109215i
\(498\) −13.0543 + 1.45646i −0.584975 + 0.0652654i
\(499\) −15.2170 + 15.2170i −0.681206 + 0.681206i −0.960272 0.279066i \(-0.909975\pi\)
0.279066 + 0.960272i \(0.409975\pi\)
\(500\) 0.258819 0.965926i 0.0115747 0.0431975i
\(501\) −12.4744 9.97028i −0.557316 0.445439i
\(502\) −20.8424 20.8424i −0.930242 0.930242i
\(503\) 30.8229 17.7956i 1.37433 0.793467i 0.382856 0.923808i \(-0.374940\pi\)
0.991469 + 0.130341i \(0.0416071\pi\)
\(504\) −2.41446 + 0.545552i −0.107549 + 0.0243008i
\(505\) −14.8596 + 3.98163i −0.661245 + 0.177180i
\(506\) 13.3657 0.594178
\(507\) −22.5166 + 0.0585567i −0.999997 + 0.00260059i
\(508\) 0.789580 0.0350320
\(509\) −25.7113 + 6.88933i −1.13963 + 0.305364i −0.778804 0.627267i \(-0.784173\pi\)
−0.360830 + 0.932632i \(0.617507\pi\)
\(510\) −3.08060 4.18360i −0.136411 0.185253i
\(511\) 8.58001 4.95367i 0.379557 0.219137i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 0.451173 + 6.29664i 0.0199198 + 0.278003i
\(514\) 3.34256 12.4746i 0.147434 0.550231i
\(515\) 11.5932 11.5932i 0.510855 0.510855i
\(516\) 0.755543 + 6.77195i 0.0332609 + 0.298118i
\(517\) 32.5861 + 18.8136i 1.43313 + 0.827420i
\(518\) −2.42964 9.06753i −0.106752 0.398404i
\(519\) 8.72493 + 3.81797i 0.382982 + 0.167590i
\(520\) 3.42697 + 1.12067i 0.150282 + 0.0491447i
\(521\) 13.4752i 0.590358i −0.955442 0.295179i \(-0.904621\pi\)
0.955442 0.295179i \(-0.0953793\pi\)
\(522\) −11.9878 + 18.9865i −0.524693 + 0.831018i
\(523\) 2.98474 5.16972i 0.130514 0.226056i −0.793361 0.608751i \(-0.791671\pi\)
0.923875 + 0.382695i \(0.125004\pi\)
\(524\) 0.307801 + 0.533127i 0.0134464 + 0.0232898i
\(525\) 1.33091 0.520671i 0.0580857 0.0227239i
\(526\) 26.6566 + 7.14261i 1.16228 + 0.311433i
\(527\) 0.0114078 + 0.00305671i 0.000496931 + 0.000133152i
\(528\) 6.11813 2.39350i 0.266257 0.104164i
\(529\) 5.29145 + 9.16506i 0.230063 + 0.398481i
\(530\) −2.45337 + 4.24936i −0.106567 + 0.184580i
\(531\) 7.74893 12.2729i 0.336275 0.532598i
\(532\) 1.00242i 0.0434605i
\(533\) 17.2016 + 0.934185i 0.745084 + 0.0404641i
\(534\) 11.3939 + 4.98591i 0.493064 + 0.215761i
\(535\) 0.202490 + 0.755704i 0.00875441 + 0.0326719i
\(536\) 10.0512 + 5.80308i 0.434147 + 0.250655i
\(537\) −0.923801 8.28004i −0.0398649 0.357310i
\(538\) −14.7899 + 14.7899i −0.637639 + 0.637639i
\(539\) 6.20354 23.1519i 0.267205 0.997224i
\(540\) −0.371368 5.18286i −0.0159811 0.223035i
\(541\) 22.2468 + 22.2468i 0.956465 + 0.956465i 0.999091 0.0426256i \(-0.0135723\pi\)
−0.0426256 + 0.999091i \(0.513572\pi\)
\(542\) 13.5128 7.80163i 0.580425 0.335109i
\(543\) −9.94889 13.5111i −0.426948 0.579815i
\(544\) −2.89738 + 0.776351i −0.124224 + 0.0332858i
\(545\) 0.712318 0.0305124
\(546\) 1.61432 + 4.89341i 0.0690865 + 0.209419i
\(547\) −23.4492 −1.00261 −0.501307 0.865269i \(-0.667147\pi\)
−0.501307 + 0.865269i \(0.667147\pi\)
\(548\) 10.3607 2.77613i 0.442586 0.118590i
\(549\) −40.2346 + 9.09108i −1.71717 + 0.387998i
\(550\) −3.28482 + 1.89649i −0.140065 + 0.0808668i
\(551\) 6.42987 + 6.42987i 0.273922 + 0.273922i
\(552\) −4.76767 3.81060i −0.202925 0.162190i
\(553\) −1.26201 + 4.70989i −0.0536661 + 0.200285i
\(554\) 17.1892 17.1892i 0.730301 0.730301i
\(555\) 19.5843 2.18501i 0.831306 0.0927484i
\(556\) 20.0743 + 11.5899i 0.851340 + 0.491521i
\(557\) −0.216431 0.807730i −0.00917046 0.0342246i 0.961189 0.275891i \(-0.0889728\pi\)
−0.970359 + 0.241666i \(0.922306\pi\)
\(558\) 0.00801519 + 0.00867616i 0.000339310 + 0.000367291i
\(559\) 13.8800 2.92281i 0.587061 0.123622i
\(560\) 0.825110i 0.0348673i
\(561\) −2.95830 + 19.4829i −0.124899 + 0.822571i
\(562\) 11.8188 20.4707i 0.498545 0.863505i
\(563\) −15.1333 26.2117i −0.637794 1.10469i −0.985916 0.167242i \(-0.946514\pi\)
0.348122 0.937449i \(-0.386820\pi\)
\(564\) −6.25995 16.0013i −0.263592 0.673778i
\(565\) 6.04105 + 1.61869i 0.254149 + 0.0680989i
\(566\) −21.8044 5.84247i −0.916507 0.245577i
\(567\) 5.64975 4.81930i 0.237267 0.202392i
\(568\) 2.95085 + 5.11102i 0.123815 + 0.214454i
\(569\) −6.86965 + 11.8986i −0.287991 + 0.498814i −0.973330 0.229409i \(-0.926321\pi\)
0.685339 + 0.728224i \(0.259654\pi\)
\(570\) −2.08041 0.315891i −0.0871389 0.0132312i
\(571\) 26.2679i 1.09928i −0.835403 0.549638i \(-0.814765\pi\)
0.835403 0.549638i \(-0.185235\pi\)
\(572\) −6.18559 12.1970i −0.258633 0.509981i
\(573\) −3.65000 + 8.34108i −0.152481 + 0.348454i
\(574\) −1.02034 3.80796i −0.0425882 0.158941i
\(575\) 3.05169 + 1.76190i 0.127264 + 0.0734761i
\(576\) −2.86478 0.890511i −0.119366 0.0371046i
\(577\) 17.6073 17.6073i 0.733000 0.733000i −0.238213 0.971213i \(-0.576562\pi\)
0.971213 + 0.238213i \(0.0765617\pi\)
\(578\) −2.07119 + 7.72978i −0.0861500 + 0.321516i
\(579\) 0.190576 0.238441i 0.00792005 0.00990926i
\(580\) −5.29253 5.29253i −0.219760 0.219760i
\(581\) 5.41901 3.12867i 0.224819 0.129799i
\(582\) −11.0560 + 8.14109i −0.458285 + 0.337459i
\(583\) 17.9770 4.81693i 0.744533 0.199497i
\(584\) 12.0073 0.496865
\(585\) −10.6644 + 1.80829i −0.440920 + 0.0747637i
\(586\) −28.9292 −1.19505
\(587\) −6.50869 + 1.74400i −0.268643 + 0.0719826i −0.390626 0.920550i \(-0.627741\pi\)
0.121983 + 0.992532i \(0.461075\pi\)
\(588\) −8.81353 + 6.48986i −0.363464 + 0.267637i
\(589\) 0.00414252 0.00239169i 0.000170690 9.85477e-5i
\(590\) 3.42109 + 3.42109i 0.140844 + 0.140844i
\(591\) −7.91025 + 9.89700i −0.325384 + 0.407108i
\(592\) 2.94462 10.9895i 0.121023 0.451665i
\(593\) −22.4859 + 22.4859i −0.923387 + 0.923387i −0.997267 0.0738801i \(-0.976462\pi\)
0.0738801 + 0.997267i \(0.476462\pi\)
\(594\) −12.9047 + 14.8967i −0.529485 + 0.611220i
\(595\) 2.14341 + 1.23750i 0.0878711 + 0.0507324i
\(596\) −1.19718 4.46795i −0.0490386 0.183014i
\(597\) 13.5597 30.9870i 0.554961 1.26821i
\(598\) −6.93993 + 10.6424i −0.283795 + 0.435198i
\(599\) 20.4003i 0.833532i −0.909014 0.416766i \(-0.863163\pi\)
0.909014 0.416766i \(-0.136837\pi\)
\(600\) 1.71242 + 0.260015i 0.0699094 + 0.0106151i
\(601\) 6.60632 11.4425i 0.269477 0.466749i −0.699250 0.714878i \(-0.746482\pi\)
0.968727 + 0.248129i \(0.0798157\pi\)
\(602\) −1.62301 2.81114i −0.0661489 0.114573i
\(603\) −34.7912 1.37773i −1.41681 0.0561055i
\(604\) −7.19287 1.92732i −0.292674 0.0784217i
\(605\) 3.27136 + 0.876559i 0.133000 + 0.0356372i
\(606\) −9.70769 24.8143i −0.394348 1.00801i
\(607\) 2.52615 + 4.37542i 0.102533 + 0.177593i 0.912728 0.408568i \(-0.133972\pi\)
−0.810195 + 0.586161i \(0.800639\pi\)
\(608\) −0.607447 + 1.05213i −0.0246352 + 0.0426695i
\(609\) 1.60579 10.5755i 0.0650699 0.428541i
\(610\) 13.7496i 0.556706i
\(611\) −31.9000 + 16.1778i −1.29054 + 0.654483i
\(612\) 6.60989 6.10633i 0.267189 0.246834i
\(613\) −3.28773 12.2700i −0.132790 0.495579i 0.867207 0.497948i \(-0.165913\pi\)
−0.999997 + 0.00236831i \(0.999246\pi\)
\(614\) 6.46430 + 3.73217i 0.260878 + 0.150618i
\(615\) 8.22453 0.917607i 0.331645 0.0370015i
\(616\) −2.21299 + 2.21299i −0.0891637 + 0.0891637i
\(617\) −1.98367 + 7.40316i −0.0798596 + 0.298040i −0.994291 0.106700i \(-0.965971\pi\)
0.914432 + 0.404740i \(0.132638\pi\)
\(618\) 22.1826 + 17.7296i 0.892315 + 0.713190i
\(619\) 20.2426 + 20.2426i 0.813620 + 0.813620i 0.985175 0.171555i \(-0.0548791\pi\)
−0.171555 + 0.985175i \(0.554879\pi\)
\(620\) −0.00340978 + 0.00196864i −0.000136940 + 7.90623e-5i
\(621\) 17.9797 + 3.46287i 0.721501 + 0.138960i
\(622\) −16.7024 + 4.47539i −0.669705 + 0.179447i
\(623\) −5.92475 −0.237370
\(624\) −1.27093 + 6.11430i −0.0508781 + 0.244768i
\(625\) −1.00000 −0.0400000
\(626\) 3.58767 0.961314i 0.143392 0.0384218i
\(627\) 4.73254 + 6.42700i 0.188999 + 0.256670i
\(628\) 3.78254 2.18385i 0.150940 0.0871450i
\(629\) 24.1313 + 24.1313i 0.962177 + 0.962177i
\(630\) 1.15187 + 2.19099i 0.0458917 + 0.0872913i
\(631\) −5.56480 + 20.7681i −0.221531 + 0.826766i 0.762233 + 0.647302i \(0.224103\pi\)
−0.983765 + 0.179464i \(0.942564\pi\)
\(632\) −4.17869 + 4.17869i −0.166219 + 0.166219i
\(633\) −1.16994 10.4862i −0.0465010 0.416789i
\(634\) 14.5524 + 8.40182i 0.577949 + 0.333679i
\(635\) −0.204358 0.762676i −0.00810972 0.0302659i
\(636\) −7.78589 3.40705i −0.308731 0.135099i
\(637\) 15.2135 + 16.9608i 0.602780 + 0.672011i
\(638\) 28.3896i 1.12396i
\(639\) −14.9708 9.45232i −0.592234 0.373928i
\(640\) 0.500000 0.866025i 0.0197642 0.0342327i
\(641\) −17.0880 29.5973i −0.674936 1.16902i −0.976488 0.215573i \(-0.930838\pi\)
0.301552 0.953450i \(-0.402495\pi\)
\(642\) −1.26196 + 0.493695i −0.0498055 + 0.0194846i
\(643\) 29.1672 + 7.81533i 1.15024 + 0.308206i 0.783062 0.621943i \(-0.213657\pi\)
0.367180 + 0.930150i \(0.380323\pi\)
\(644\) 2.80844 + 0.752520i 0.110668 + 0.0296535i
\(645\) 6.34565 2.48251i 0.249860 0.0977486i
\(646\) −1.82209 3.15596i −0.0716893 0.124170i
\(647\) 16.6435 28.8275i 0.654325 1.13332i −0.327737 0.944769i \(-0.606286\pi\)
0.982063 0.188555i \(-0.0603805\pi\)
\(648\) 8.85031 1.63464i 0.347673 0.0642149i
\(649\) 18.3511i 0.720343i
\(650\) 0.195522 3.60025i 0.00766901 0.141213i
\(651\) −0.00515493 0.00225576i −0.000202038 8.84104e-5i
\(652\) −1.31903 4.92267i −0.0516571 0.192787i
\(653\) −38.8066 22.4050i −1.51862 0.876776i −0.999760 0.0219166i \(-0.993023\pi\)
−0.518860 0.854859i \(-0.673644\pi\)
\(654\) 0.136802 + 1.22616i 0.00534940 + 0.0479468i
\(655\) 0.435297 0.435297i 0.0170085 0.0170085i
\(656\) 1.23661 4.61510i 0.0482816 0.180189i
\(657\) −31.8841 + 16.7624i −1.24392 + 0.653965i
\(658\) 5.78784 + 5.78784i 0.225634 + 0.225634i
\(659\) −15.8615 + 9.15765i −0.617877 + 0.356731i −0.776042 0.630681i \(-0.782775\pi\)
0.158165 + 0.987413i \(0.449442\pi\)
\(660\) −3.89543 5.29017i −0.151629 0.205920i
\(661\) −46.0633 + 12.3426i −1.79165 + 0.480072i −0.992626 0.121221i \(-0.961319\pi\)
−0.799029 + 0.601293i \(0.794653\pi\)
\(662\) 19.4484 0.755883
\(663\) −13.9771 12.4717i −0.542826 0.484362i
\(664\) 7.58364 0.294302
\(665\) 0.968265 0.259446i 0.0375477 0.0100609i
\(666\) 7.52242 + 33.2921i 0.291488 + 1.29004i
\(667\) 22.8412 13.1874i 0.884415 0.510617i
\(668\) 6.51943 + 6.51943i 0.252244 + 0.252244i
\(669\) 11.2459 + 8.98840i 0.434793 + 0.347512i
\(670\) 3.00389 11.2107i 0.116051 0.433106i
\(671\) −36.8772 + 36.8772i −1.42363 + 1.42363i
\(672\) 1.42032 0.158464i 0.0547900 0.00611290i
\(673\) 23.3095 + 13.4577i 0.898514 + 0.518757i 0.876718 0.481005i \(-0.159728\pi\)
0.0217965 + 0.999762i \(0.493061\pi\)
\(674\) −7.61297 28.4120i −0.293241 1.09439i
\(675\) −4.91015 + 1.70014i −0.188992 + 0.0654383i
\(676\) 12.9235 + 1.40786i 0.497059 + 0.0541483i
\(677\) 35.2263i 1.35385i −0.736050 0.676927i \(-0.763311\pi\)
0.736050 0.676927i \(-0.236689\pi\)
\(678\) −1.62617 + 10.7097i −0.0624528 + 0.411305i
\(679\) 3.27033 5.66437i 0.125504 0.217379i
\(680\) 1.49980 + 2.59772i 0.0575145 + 0.0996181i
\(681\) 12.8793 + 32.9214i 0.493537 + 1.26155i
\(682\) 0.0144252 + 0.00386521i 0.000552368 + 0.000148007i
\(683\) 25.9255 + 6.94671i 0.992010 + 0.265808i 0.718095 0.695945i \(-0.245014\pi\)
0.273915 + 0.961754i \(0.411681\pi\)
\(684\) 0.144216 3.64183i 0.00551425 0.139249i
\(685\) −5.36308 9.28912i −0.204913 0.354919i
\(686\) 5.49490 9.51745i 0.209796 0.363378i
\(687\) 1.75681 + 0.266755i 0.0670264 + 0.0101773i
\(688\) 3.93404i 0.149984i
\(689\) −5.49884 + 16.8152i −0.209489 + 0.640609i
\(690\) −2.44679 + 5.59147i −0.0931477 + 0.212864i
\(691\) −3.82546 14.2768i −0.145527 0.543116i −0.999731 0.0231778i \(-0.992622\pi\)
0.854204 0.519938i \(-0.174045\pi\)
\(692\) −4.76186 2.74926i −0.181019 0.104511i
\(693\) 2.78697 8.96573i 0.105868 0.340580i
\(694\) 14.9972 14.9972i 0.569285 0.569285i
\(695\) 5.99937 22.3900i 0.227569 0.849300i
\(696\) 8.09396 10.1269i 0.306801 0.383857i
\(697\) 10.1341 + 10.1341i 0.383855 + 0.383855i
\(698\) 13.9214 8.03752i 0.526932 0.304225i
\(699\) 16.2929 11.9973i 0.616253 0.453779i
\(700\) −0.796995 + 0.213554i −0.0301236 + 0.00807159i
\(701\) 19.3599 0.731215 0.365608 0.930769i \(-0.380861\pi\)
0.365608 + 0.930769i \(0.380861\pi\)
\(702\) −5.16087 18.0101i −0.194785 0.679749i
\(703\) 13.8220 0.521308
\(704\) −3.66375 + 0.981698i −0.138083 + 0.0369991i
\(705\) −13.8359 + 10.1881i −0.521091 + 0.383706i
\(706\) 28.2971 16.3373i 1.06498 0.614864i
\(707\) 8.97556 + 8.97556i 0.337561 + 0.337561i
\(708\) −5.23194 + 6.54600i −0.196628 + 0.246014i
\(709\) 7.45717 27.8305i 0.280060 1.04520i −0.672314 0.740266i \(-0.734700\pi\)
0.952374 0.304932i \(-0.0986338\pi\)
\(710\) 4.17313 4.17313i 0.156615 0.156615i
\(711\) 5.26252 16.9296i 0.197360 0.634909i
\(712\) −6.21854 3.59028i −0.233050 0.134551i
\(713\) −0.00359089 0.0134014i −0.000134480 0.000501885i
\(714\) −1.71854 + 3.92726i −0.0643149 + 0.146974i
\(715\) −10.1804 + 9.13163i −0.380727 + 0.341504i
\(716\) 4.81015i 0.179764i
\(717\) 34.8436 + 5.29066i 1.30126 + 0.197583i
\(718\) 3.38314 5.85977i 0.126258 0.218685i
\(719\) −3.77091 6.53140i −0.140631 0.243580i 0.787103 0.616821i \(-0.211580\pi\)
−0.927734 + 0.373241i \(0.878246\pi\)
\(720\) −0.118707 + 2.99765i −0.00442395 + 0.111716i
\(721\) −13.0669 3.50126i −0.486637 0.130394i
\(722\) 16.9269 + 4.53555i 0.629955 + 0.168796i
\(723\) −11.3829 29.0962i −0.423333 1.08210i
\(724\) 4.84363 + 8.38941i 0.180012 + 0.311790i
\(725\) −3.74239 + 6.48200i −0.138989 + 0.240735i
\(726\) −0.880609 + 5.79957i −0.0326825 + 0.215242i
\(727\) 18.8445i 0.698904i 0.936954 + 0.349452i \(0.113632\pi\)
−0.936954 + 0.349452i \(0.886368\pi\)
\(728\) −0.613018 2.91113i −0.0227199 0.107894i
\(729\) −21.2191 + 16.6958i −0.785891 + 0.618365i
\(730\) −3.10772 11.5982i −0.115022 0.429267i
\(731\) 10.2196 + 5.90026i 0.377984 + 0.218229i
\(732\) 23.6682 2.64065i 0.874802 0.0976013i
\(733\) −26.3274 + 26.3274i −0.972424 + 0.972424i −0.999630 0.0272063i \(-0.991339\pi\)
0.0272063 + 0.999630i \(0.491339\pi\)
\(734\) −3.48622 + 13.0107i −0.128679 + 0.480235i
\(735\) 8.54983 + 6.83352i 0.315365 + 0.252058i
\(736\) 2.49170 + 2.49170i 0.0918451 + 0.0918451i
\(737\) −38.1242 + 22.0110i −1.40432 + 0.810786i
\(738\) 3.15908 + 13.9812i 0.116287 + 0.514656i
\(739\) −22.7470 + 6.09505i −0.836763 + 0.224210i −0.651662 0.758509i \(-0.725928\pi\)
−0.185101 + 0.982719i \(0.559261\pi\)
\(740\) −11.3771 −0.418232
\(741\) −7.57476 + 0.431130i −0.278266 + 0.0158380i
\(742\) 4.04860 0.148629
\(743\) 40.3372 10.8083i 1.47983 0.396519i 0.573539 0.819178i \(-0.305570\pi\)
0.906288 + 0.422660i \(0.138903\pi\)
\(744\) −0.00404361 0.00549141i −0.000148246 0.000201325i
\(745\) −4.00586 + 2.31278i −0.146763 + 0.0847338i
\(746\) 24.0925 + 24.0925i 0.882089 + 0.882089i
\(747\) −20.1376 + 10.5869i −0.736795 + 0.387355i
\(748\) 2.94469 10.9897i 0.107669 0.401825i
\(749\) 0.456462 0.456462i 0.0166788 0.0166788i
\(750\) −0.192053 1.72137i −0.00701277 0.0628556i
\(751\) −5.24153 3.02620i −0.191266 0.110428i 0.401309 0.915943i \(-0.368555\pi\)
−0.592575 + 0.805515i \(0.701889\pi\)
\(752\) 2.56753 + 9.58216i 0.0936283 + 0.349425i
\(753\) −46.7712 20.4668i −1.70444 0.745850i
\(754\) −22.6051 14.7409i −0.823228 0.536831i
\(755\) 7.44661i 0.271010i
\(756\) −3.55029 + 2.40358i −0.129123 + 0.0874175i
\(757\) −5.09098 + 8.81784i −0.185035 + 0.320490i −0.943588 0.331121i \(-0.892573\pi\)
0.758553 + 0.651611i \(0.225906\pi\)
\(758\) 11.9487 + 20.6958i 0.433997 + 0.751705i
\(759\) 21.5590 8.43418i 0.782542 0.306141i
\(760\) 1.17350 + 0.314438i 0.0425673 + 0.0114059i
\(761\) −47.4705 12.7197i −1.72080 0.461088i −0.742772 0.669545i \(-0.766489\pi\)
−0.978031 + 0.208457i \(0.933156\pi\)
\(762\) 1.27360 0.498250i 0.0461377 0.0180497i
\(763\) −0.293870 0.508999i −0.0106388 0.0184270i
\(764\) 2.62831 4.55237i 0.0950889 0.164699i
\(765\) −7.60903 4.80423i −0.275105 0.173697i
\(766\) 22.6973i 0.820086i
\(767\) 14.6119 + 9.52851i 0.527606 + 0.344055i
\(768\) 1.58678 + 0.694363i 0.0572579 + 0.0250557i
\(769\) −0.157880 0.589218i −0.00569331 0.0212477i 0.963021 0.269427i \(-0.0868344\pi\)
−0.968714 + 0.248180i \(0.920168\pi\)
\(770\) 2.71034 + 1.56482i 0.0976740 + 0.0563921i
\(771\) −2.48029 22.2309i −0.0893255 0.800627i
\(772\) −0.124615 + 0.124615i −0.00448499 + 0.00448499i