Properties

Label 390.2.bd.c.37.6
Level $390$
Weight $2$
Character 390.37
Analytic conductor $3.114$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 37.6
Character \(\chi\) \(=\) 390.37
Dual form 390.2.bd.c.253.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(0.965926 + 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.900968 - 2.04652i) q^{5} +(0.965926 - 0.258819i) q^{6} +(0.0298867 - 0.0517653i) q^{7} -1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(0.965926 + 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.900968 - 2.04652i) q^{5} +(0.965926 - 0.258819i) q^{6} +(0.0298867 - 0.0517653i) q^{7} -1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +(-1.80352 - 1.32186i) q^{10} +(2.65266 + 0.710778i) q^{11} +(0.707107 - 0.707107i) q^{12} +(0.914264 - 3.48771i) q^{13} -0.0597735i q^{14} +(-0.340590 - 2.20998i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.22446 + 4.56975i) q^{17} +1.00000 q^{18} +(-2.19449 - 8.18996i) q^{19} +(-2.22283 - 0.243000i) q^{20} +(0.0422662 - 0.0422662i) q^{21} +(2.65266 - 0.710778i) q^{22} +(-0.837992 + 3.12743i) q^{23} +(0.258819 - 0.965926i) q^{24} +(-3.37651 + 3.68770i) q^{25} +(-0.952079 - 3.47758i) q^{26} +(0.707107 + 0.707107i) q^{27} +(-0.0298867 - 0.0517653i) q^{28} +(-3.06351 + 1.76872i) q^{29} +(-1.39995 - 1.74360i) q^{30} +(5.45532 + 5.45532i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(2.37831 + 1.37312i) q^{33} +(3.34529 + 3.34529i) q^{34} +(-0.132866 - 0.0145249i) q^{35} +(0.866025 - 0.500000i) q^{36} +(0.224405 + 0.388680i) q^{37} +(-5.99546 - 5.99546i) q^{38} +(1.78580 - 3.13224i) q^{39} +(-2.04652 + 0.900968i) q^{40} +(-2.07938 + 7.76037i) q^{41} +(0.0154705 - 0.0577367i) q^{42} +(-3.94997 + 1.05839i) q^{43} +(1.94188 - 1.94188i) q^{44} +(0.243000 - 2.22283i) q^{45} +(0.837992 + 3.12743i) q^{46} +8.10752 q^{47} +(-0.258819 - 0.965926i) q^{48} +(3.49821 + 6.05908i) q^{49} +(-1.08029 + 4.88190i) q^{50} +4.73095i q^{51} +(-2.56331 - 2.53563i) q^{52} +(-3.62218 + 3.62218i) q^{53} +(0.965926 + 0.258819i) q^{54} +(-0.935339 - 6.06912i) q^{55} +(-0.0517653 - 0.0298867i) q^{56} -8.47887i q^{57} +(-1.76872 + 3.06351i) q^{58} +(-8.24745 + 2.20990i) q^{59} +(-2.08419 - 0.810029i) q^{60} +(5.07861 - 8.79641i) q^{61} +(7.45211 + 1.99679i) q^{62} +(0.0517653 - 0.0298867i) q^{63} -1.00000 q^{64} +(-7.96140 + 1.27125i) q^{65} +2.74624 q^{66} +(-8.49129 + 4.90245i) q^{67} +(4.56975 + 1.22446i) q^{68} +(-1.61888 + 2.80397i) q^{69} +(-0.122328 + 0.0538540i) q^{70} +(-1.76948 + 0.474132i) q^{71} +(0.500000 - 0.866025i) q^{72} +11.0595i q^{73} +(0.388680 + 0.224405i) q^{74} +(-4.21591 + 2.68814i) q^{75} +(-8.18996 - 2.19449i) q^{76} +(0.116073 - 0.116073i) q^{77} +(-0.0195744 - 3.60550i) q^{78} -12.6945i q^{79} +(-1.32186 + 1.80352i) q^{80} +(0.500000 + 0.866025i) q^{81} +(2.07938 + 7.76037i) q^{82} +0.810683 q^{83} +(-0.0154705 - 0.0577367i) q^{84} +(8.24889 - 6.62308i) q^{85} +(-2.89158 + 2.89158i) q^{86} +(-3.41690 + 0.915555i) q^{87} +(0.710778 - 2.65266i) q^{88} +(3.49929 - 13.0595i) q^{89} +(-0.900968 - 2.04652i) q^{90} +(-0.153218 - 0.151563i) q^{91} +(2.28944 + 2.28944i) q^{92} +(3.85749 + 6.68138i) q^{93} +(7.02131 - 4.05376i) q^{94} +(-14.7838 + 11.8700i) q^{95} +(-0.707107 - 0.707107i) q^{96} +(9.22020 + 5.32328i) q^{97} +(6.05908 + 3.49821i) q^{98} +(1.94188 + 1.94188i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + 16 q^{4}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + 16 q^{4} - 4 q^{11} + 20 q^{13} + 4 q^{15} - 16 q^{16} - 20 q^{17} + 32 q^{18} - 20 q^{19} + 8 q^{21} - 4 q^{22} + 4 q^{23} + 8 q^{25} - 4 q^{26} - 24 q^{29} + 4 q^{30} + 12 q^{31} - 12 q^{33} + 16 q^{34} + 12 q^{35} + 20 q^{37} + 4 q^{38} + 20 q^{39} - 28 q^{41} + 8 q^{42} - 4 q^{43} + 4 q^{44} - 4 q^{46} - 16 q^{47} - 20 q^{49} + 28 q^{50} + 16 q^{52} - 4 q^{53} - 40 q^{55} - 12 q^{56} - 36 q^{59} - 4 q^{60} - 28 q^{61} - 36 q^{62} + 12 q^{63} - 32 q^{64} - 32 q^{65} - 36 q^{67} - 4 q^{68} + 20 q^{69} - 24 q^{70} - 4 q^{71} + 16 q^{72} - 24 q^{74} - 16 q^{76} - 20 q^{77} - 16 q^{78} + 16 q^{81} + 28 q^{82} - 40 q^{83} - 8 q^{84} + 88 q^{85} - 8 q^{86} - 16 q^{87} - 8 q^{88} + 16 q^{89} - 40 q^{91} + 20 q^{92} + 24 q^{94} - 8 q^{95} + 72 q^{97} + 72 q^{98} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) 0.965926 + 0.258819i 0.557678 + 0.149429i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −0.900968 2.04652i −0.402925 0.915233i
\(6\) 0.965926 0.258819i 0.394338 0.105662i
\(7\) 0.0298867 0.0517653i 0.0112961 0.0195655i −0.860322 0.509751i \(-0.829738\pi\)
0.871618 + 0.490185i \(0.163071\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.866025 + 0.500000i 0.288675 + 0.166667i
\(10\) −1.80352 1.32186i −0.570324 0.418008i
\(11\) 2.65266 + 0.710778i 0.799807 + 0.214308i 0.635499 0.772101i \(-0.280794\pi\)
0.164308 + 0.986409i \(0.447461\pi\)
\(12\) 0.707107 0.707107i 0.204124 0.204124i
\(13\) 0.914264 3.48771i 0.253571 0.967317i
\(14\) 0.0597735i 0.0159751i
\(15\) −0.340590 2.20998i −0.0879398 0.570614i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.22446 + 4.56975i 0.296975 + 1.10833i 0.939636 + 0.342176i \(0.111164\pi\)
−0.642661 + 0.766151i \(0.722170\pi\)
\(18\) 1.00000 0.235702
\(19\) −2.19449 8.18996i −0.503451 1.87890i −0.476318 0.879273i \(-0.658029\pi\)
−0.0271328 0.999632i \(-0.508638\pi\)
\(20\) −2.22283 0.243000i −0.497039 0.0543364i
\(21\) 0.0422662 0.0422662i 0.00922324 0.00922324i
\(22\) 2.65266 0.710778i 0.565549 0.151538i
\(23\) −0.837992 + 3.12743i −0.174733 + 0.652114i 0.821864 + 0.569684i \(0.192935\pi\)
−0.996597 + 0.0824293i \(0.973732\pi\)
\(24\) 0.258819 0.965926i 0.0528312 0.197169i
\(25\) −3.37651 + 3.68770i −0.675302 + 0.737541i
\(26\) −0.952079 3.47758i −0.186718 0.682009i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) −0.0298867 0.0517653i −0.00564806 0.00978273i
\(29\) −3.06351 + 1.76872i −0.568879 + 0.328442i −0.756701 0.653761i \(-0.773190\pi\)
0.187823 + 0.982203i \(0.439857\pi\)
\(30\) −1.39995 1.74360i −0.255594 0.318337i
\(31\) 5.45532 + 5.45532i 0.979804 + 0.979804i 0.999800 0.0199957i \(-0.00636524\pi\)
−0.0199957 + 0.999800i \(0.506365\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) 2.37831 + 1.37312i 0.414011 + 0.239029i
\(34\) 3.34529 + 3.34529i 0.573712 + 0.573712i
\(35\) −0.132866 0.0145249i −0.0224584 0.00245516i
\(36\) 0.866025 0.500000i 0.144338 0.0833333i
\(37\) 0.224405 + 0.388680i 0.0368919 + 0.0638987i 0.883882 0.467710i \(-0.154921\pi\)
−0.846990 + 0.531609i \(0.821588\pi\)
\(38\) −5.99546 5.99546i −0.972593 0.972593i
\(39\) 1.78580 3.13224i 0.285956 0.501560i
\(40\) −2.04652 + 0.900968i −0.323584 + 0.142456i
\(41\) −2.07938 + 7.76037i −0.324745 + 1.21197i 0.589823 + 0.807533i \(0.299198\pi\)
−0.914568 + 0.404433i \(0.867469\pi\)
\(42\) 0.0154705 0.0577367i 0.00238715 0.00890897i
\(43\) −3.94997 + 1.05839i −0.602365 + 0.161403i −0.547098 0.837068i \(-0.684268\pi\)
−0.0552666 + 0.998472i \(0.517601\pi\)
\(44\) 1.94188 1.94188i 0.292750 0.292750i
\(45\) 0.243000 2.22283i 0.0362243 0.331359i
\(46\) 0.837992 + 3.12743i 0.123555 + 0.461114i
\(47\) 8.10752 1.18260 0.591301 0.806451i \(-0.298614\pi\)
0.591301 + 0.806451i \(0.298614\pi\)
\(48\) −0.258819 0.965926i −0.0373573 0.139419i
\(49\) 3.49821 + 6.05908i 0.499745 + 0.865583i
\(50\) −1.08029 + 4.88190i −0.152776 + 0.690405i
\(51\) 4.73095i 0.662465i
\(52\) −2.56331 2.53563i −0.355468 0.351629i
\(53\) −3.62218 + 3.62218i −0.497544 + 0.497544i −0.910673 0.413128i \(-0.864436\pi\)
0.413128 + 0.910673i \(0.364436\pi\)
\(54\) 0.965926 + 0.258819i 0.131446 + 0.0352208i
\(55\) −0.935339 6.06912i −0.126121 0.818360i
\(56\) −0.0517653 0.0298867i −0.00691743 0.00399378i
\(57\) 8.47887i 1.12305i
\(58\) −1.76872 + 3.06351i −0.232244 + 0.402258i
\(59\) −8.24745 + 2.20990i −1.07373 + 0.287704i −0.752023 0.659137i \(-0.770922\pi\)
−0.321703 + 0.946841i \(0.604255\pi\)
\(60\) −2.08419 0.810029i −0.269068 0.104574i
\(61\) 5.07861 8.79641i 0.650250 1.12627i −0.332813 0.942993i \(-0.607998\pi\)
0.983062 0.183272i \(-0.0586690\pi\)
\(62\) 7.45211 + 1.99679i 0.946418 + 0.253592i
\(63\) 0.0517653 0.0298867i 0.00652182 0.00376537i
\(64\) −1.00000 −0.125000
\(65\) −7.96140 + 1.27125i −0.987490 + 0.157680i
\(66\) 2.74624 0.338038
\(67\) −8.49129 + 4.90245i −1.03738 + 0.598930i −0.919089 0.394050i \(-0.871074\pi\)
−0.118288 + 0.992979i \(0.537740\pi\)
\(68\) 4.56975 + 1.22446i 0.554163 + 0.148488i
\(69\) −1.61888 + 2.80397i −0.194890 + 0.337559i
\(70\) −0.122328 + 0.0538540i −0.0146210 + 0.00643678i
\(71\) −1.76948 + 0.474132i −0.209999 + 0.0562691i −0.362285 0.932067i \(-0.618003\pi\)
0.152286 + 0.988336i \(0.451337\pi\)
\(72\) 0.500000 0.866025i 0.0589256 0.102062i
\(73\) 11.0595i 1.29442i 0.762314 + 0.647208i \(0.224063\pi\)
−0.762314 + 0.647208i \(0.775937\pi\)
\(74\) 0.388680 + 0.224405i 0.0451832 + 0.0260865i
\(75\) −4.21591 + 2.68814i −0.486811 + 0.310400i
\(76\) −8.18996 2.19449i −0.939452 0.251726i
\(77\) 0.116073 0.116073i 0.0132278 0.0132278i
\(78\) −0.0195744 3.60550i −0.00221636 0.408242i
\(79\) 12.6945i 1.42824i −0.700023 0.714120i \(-0.746827\pi\)
0.700023 0.714120i \(-0.253173\pi\)
\(80\) −1.32186 + 1.80352i −0.147788 + 0.201640i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) 2.07938 + 7.76037i 0.229630 + 0.856989i
\(83\) 0.810683 0.0889840 0.0444920 0.999010i \(-0.485833\pi\)
0.0444920 + 0.999010i \(0.485833\pi\)
\(84\) −0.0154705 0.0577367i −0.00168797 0.00629959i
\(85\) 8.24889 6.62308i 0.894718 0.718374i
\(86\) −2.89158 + 2.89158i −0.311807 + 0.311807i
\(87\) −3.41690 + 0.915555i −0.366330 + 0.0981578i
\(88\) 0.710778 2.65266i 0.0757692 0.282775i
\(89\) 3.49929 13.0595i 0.370924 1.38431i −0.488287 0.872683i \(-0.662378\pi\)
0.859210 0.511623i \(-0.170955\pi\)
\(90\) −0.900968 2.04652i −0.0949704 0.215722i
\(91\) −0.153218 0.151563i −0.0160616 0.0158882i
\(92\) 2.28944 + 2.28944i 0.238690 + 0.238690i
\(93\) 3.85749 + 6.68138i 0.400003 + 0.692826i
\(94\) 7.02131 4.05376i 0.724193 0.418113i
\(95\) −14.7838 + 11.8700i −1.51678 + 1.21783i
\(96\) −0.707107 0.707107i −0.0721688 0.0721688i
\(97\) 9.22020 + 5.32328i 0.936169 + 0.540497i 0.888757 0.458378i \(-0.151569\pi\)
0.0474117 + 0.998875i \(0.484903\pi\)
\(98\) 6.05908 + 3.49821i 0.612060 + 0.353373i
\(99\) 1.94188 + 1.94188i 0.195167 + 0.195167i
\(100\) 1.50539 + 4.76800i 0.150539 + 0.476800i
\(101\) −5.01449 + 2.89512i −0.498960 + 0.288075i −0.728284 0.685275i \(-0.759682\pi\)
0.229324 + 0.973350i \(0.426348\pi\)
\(102\) 2.36547 + 4.09712i 0.234217 + 0.405676i
\(103\) −5.80890 5.80890i −0.572368 0.572368i 0.360422 0.932790i \(-0.382633\pi\)
−0.932790 + 0.360422i \(0.882633\pi\)
\(104\) −3.48771 0.914264i −0.341998 0.0896510i
\(105\) −0.124579 0.0484183i −0.0121577 0.00472514i
\(106\) −1.32581 + 4.94799i −0.128774 + 0.480591i
\(107\) −2.06732 + 7.71536i −0.199856 + 0.745872i 0.791100 + 0.611686i \(0.209508\pi\)
−0.990956 + 0.134186i \(0.957158\pi\)
\(108\) 0.965926 0.258819i 0.0929463 0.0249049i
\(109\) 8.01003 8.01003i 0.767222 0.767222i −0.210394 0.977617i \(-0.567475\pi\)
0.977617 + 0.210394i \(0.0674748\pi\)
\(110\) −3.84459 4.78834i −0.366567 0.456551i
\(111\) 0.116160 + 0.433517i 0.0110255 + 0.0411476i
\(112\) −0.0597735 −0.00564806
\(113\) 3.02824 + 11.3016i 0.284873 + 1.06316i 0.948932 + 0.315481i \(0.102166\pi\)
−0.664059 + 0.747680i \(0.731168\pi\)
\(114\) −4.23943 7.34291i −0.397059 0.687727i
\(115\) 7.15536 1.10274i 0.667240 0.102831i
\(116\) 3.53743i 0.328442i
\(117\) 2.53563 2.56331i 0.234419 0.236978i
\(118\) −6.03755 + 6.03755i −0.555802 + 0.555802i
\(119\) 0.273150 + 0.0731902i 0.0250396 + 0.00670933i
\(120\) −2.20998 + 0.340590i −0.201742 + 0.0310914i
\(121\) −2.99487 1.72909i −0.272261 0.157190i
\(122\) 10.1572i 0.919592i
\(123\) −4.01706 + 6.95775i −0.362206 + 0.627360i
\(124\) 7.45211 1.99679i 0.669219 0.179317i
\(125\) 10.5891 + 3.58760i 0.947118 + 0.320885i
\(126\) 0.0298867 0.0517653i 0.00266252 0.00461162i
\(127\) −14.9266 3.99958i −1.32452 0.354905i −0.473853 0.880604i \(-0.657137\pi\)
−0.850671 + 0.525699i \(0.823804\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) −4.08931 −0.360044
\(130\) −6.25915 + 5.08164i −0.548964 + 0.445689i
\(131\) 3.52073 0.307608 0.153804 0.988101i \(-0.450848\pi\)
0.153804 + 0.988101i \(0.450848\pi\)
\(132\) 2.37831 1.37312i 0.207005 0.119515i
\(133\) −0.489542 0.131172i −0.0424487 0.0113741i
\(134\) −4.90245 + 8.49129i −0.423507 + 0.733536i
\(135\) 0.810029 2.08419i 0.0697162 0.179379i
\(136\) 4.56975 1.22446i 0.391853 0.104997i
\(137\) −1.44166 + 2.49703i −0.123170 + 0.213336i −0.921016 0.389525i \(-0.872639\pi\)
0.797846 + 0.602861i \(0.205973\pi\)
\(138\) 3.23775i 0.275616i
\(139\) 8.92480 + 5.15274i 0.756992 + 0.437049i 0.828215 0.560411i \(-0.189357\pi\)
−0.0712230 + 0.997460i \(0.522690\pi\)
\(140\) −0.0790119 + 0.107803i −0.00667773 + 0.00911100i
\(141\) 7.83126 + 2.09838i 0.659511 + 0.176715i
\(142\) −1.29535 + 1.29535i −0.108703 + 0.108703i
\(143\) 4.90422 8.60187i 0.410112 0.719325i
\(144\) 1.00000i 0.0833333i
\(145\) 6.37984 + 4.67598i 0.529817 + 0.388319i
\(146\) 5.52975 + 9.57780i 0.457645 + 0.792665i
\(147\) 1.81081 + 6.75803i 0.149353 + 0.557393i
\(148\) 0.448809 0.0368919
\(149\) −1.66453 6.21211i −0.136364 0.508916i −0.999989 0.00478120i \(-0.998478\pi\)
0.863625 0.504135i \(-0.168189\pi\)
\(150\) −2.30701 + 4.43595i −0.188367 + 0.362194i
\(151\) 14.2507 14.2507i 1.15971 1.15971i 0.175167 0.984539i \(-0.443953\pi\)
0.984539 0.175167i \(-0.0560467\pi\)
\(152\) −8.18996 + 2.19449i −0.664293 + 0.177997i
\(153\) −1.22446 + 4.56975i −0.0989917 + 0.369442i
\(154\) 0.0424857 0.158559i 0.00342359 0.0127770i
\(155\) 6.24937 16.0795i 0.501961 1.29154i
\(156\) −1.81970 3.11267i −0.145693 0.249213i
\(157\) 8.02272 + 8.02272i 0.640283 + 0.640283i 0.950625 0.310342i \(-0.100444\pi\)
−0.310342 + 0.950625i \(0.600444\pi\)
\(158\) −6.34724 10.9937i −0.504959 0.874615i
\(159\) −4.43624 + 2.56127i −0.351817 + 0.203122i
\(160\) −0.243000 + 2.22283i −0.0192108 + 0.175730i
\(161\) 0.136847 + 0.136847i 0.0107851 + 0.0107851i
\(162\) 0.866025 + 0.500000i 0.0680414 + 0.0392837i
\(163\) −16.3042 9.41324i −1.27704 0.737302i −0.300740 0.953706i \(-0.597234\pi\)
−0.976304 + 0.216405i \(0.930567\pi\)
\(164\) 5.68098 + 5.68098i 0.443610 + 0.443610i
\(165\) 0.667335 6.10440i 0.0519520 0.475227i
\(166\) 0.702072 0.405341i 0.0544913 0.0314606i
\(167\) −5.92423 10.2611i −0.458430 0.794025i 0.540448 0.841378i \(-0.318255\pi\)
−0.998878 + 0.0473527i \(0.984922\pi\)
\(168\) −0.0422662 0.0422662i −0.00326091 0.00326091i
\(169\) −11.3282 6.37738i −0.871403 0.490567i
\(170\) 3.83221 9.86020i 0.293917 0.756243i
\(171\) 2.19449 8.18996i 0.167817 0.626302i
\(172\) −1.05839 + 3.94997i −0.0807016 + 0.301182i
\(173\) −8.27528 + 2.21736i −0.629158 + 0.168582i −0.559288 0.828974i \(-0.688925\pi\)
−0.0698704 + 0.997556i \(0.522259\pi\)
\(174\) −2.50134 + 2.50134i −0.189626 + 0.189626i
\(175\) 0.0899824 + 0.285000i 0.00680203 + 0.0215440i
\(176\) −0.710778 2.65266i −0.0535769 0.199952i
\(177\) −8.53839 −0.641784
\(178\) −3.49929 13.0595i −0.262283 0.978852i
\(179\) −10.0352 17.3814i −0.750063 1.29915i −0.947792 0.318890i \(-0.896690\pi\)
0.197729 0.980257i \(-0.436644\pi\)
\(180\) −1.80352 1.32186i −0.134427 0.0985254i
\(181\) 13.3312i 0.990901i −0.868636 0.495451i \(-0.835003\pi\)
0.868636 0.495451i \(-0.164997\pi\)
\(182\) −0.208472 0.0546487i −0.0154530 0.00405083i
\(183\) 7.18224 7.18224i 0.530927 0.530927i
\(184\) 3.12743 + 0.837992i 0.230557 + 0.0617776i
\(185\) 0.593262 0.809438i 0.0436175 0.0595111i
\(186\) 6.68138 + 3.85749i 0.489902 + 0.282845i
\(187\) 12.9923i 0.950092i
\(188\) 4.05376 7.02131i 0.295651 0.512082i
\(189\) 0.0577367 0.0154705i 0.00419973 0.00112531i
\(190\) −6.86813 + 17.6716i −0.498267 + 1.28203i
\(191\) 1.12684 1.95175i 0.0815356 0.141224i −0.822374 0.568947i \(-0.807351\pi\)
0.903910 + 0.427723i \(0.140684\pi\)
\(192\) −0.965926 0.258819i −0.0697097 0.0186787i
\(193\) 7.39614 4.27016i 0.532386 0.307373i −0.209602 0.977787i \(-0.567217\pi\)
0.741987 + 0.670414i \(0.233883\pi\)
\(194\) 10.6466 0.764379
\(195\) −8.01915 0.832625i −0.574263 0.0596255i
\(196\) 6.99643 0.499745
\(197\) 9.53494 5.50500i 0.679336 0.392215i −0.120269 0.992741i \(-0.538376\pi\)
0.799605 + 0.600526i \(0.205042\pi\)
\(198\) 2.65266 + 0.710778i 0.188516 + 0.0505128i
\(199\) −9.23263 + 15.9914i −0.654484 + 1.13360i 0.327539 + 0.944838i \(0.393781\pi\)
−0.982023 + 0.188762i \(0.939553\pi\)
\(200\) 3.68770 + 3.37651i 0.260760 + 0.238755i
\(201\) −9.47081 + 2.53770i −0.668019 + 0.178995i
\(202\) −2.89512 + 5.01449i −0.203700 + 0.352818i
\(203\) 0.211445i 0.0148405i
\(204\) 4.09712 + 2.36547i 0.286856 + 0.165616i
\(205\) 17.7552 2.73634i 1.24008 0.191114i
\(206\) −7.93511 2.12621i −0.552865 0.148140i
\(207\) −2.28944 + 2.28944i −0.159127 + 0.159127i
\(208\) −3.47758 + 0.952079i −0.241127 + 0.0660148i
\(209\) 23.2850i 1.61066i
\(210\) −0.132098 + 0.0203582i −0.00911563 + 0.00140485i
\(211\) −9.82300 17.0139i −0.676243 1.17129i −0.976104 0.217305i \(-0.930273\pi\)
0.299860 0.953983i \(-0.403060\pi\)
\(212\) 1.32581 + 4.94799i 0.0910569 + 0.339829i
\(213\) −1.83190 −0.125520
\(214\) 2.06732 + 7.71536i 0.141319 + 0.527411i
\(215\) 5.72482 + 7.13013i 0.390429 + 0.486271i
\(216\) 0.707107 0.707107i 0.0481125 0.0481125i
\(217\) 0.445438 0.119355i 0.0302383 0.00810233i
\(218\) 2.93188 10.9419i 0.198572 0.741080i
\(219\) −2.86241 + 10.6827i −0.193424 + 0.721867i
\(220\) −5.72368 2.22453i −0.385891 0.149978i
\(221\) 17.0574 0.0926054i 1.14741 0.00622932i
\(222\) 0.317356 + 0.317356i 0.0212996 + 0.0212996i
\(223\) 0.708412 + 1.22701i 0.0474388 + 0.0821663i 0.888770 0.458354i \(-0.151561\pi\)
−0.841331 + 0.540520i \(0.818227\pi\)
\(224\) −0.0517653 + 0.0298867i −0.00345872 + 0.00199689i
\(225\) −4.76800 + 1.50539i −0.317867 + 0.100359i
\(226\) 8.27332 + 8.27332i 0.550333 + 0.550333i
\(227\) 1.37971 + 0.796577i 0.0915747 + 0.0528707i 0.545088 0.838379i \(-0.316496\pi\)
−0.453513 + 0.891249i \(0.649830\pi\)
\(228\) −7.34291 4.23943i −0.486296 0.280763i
\(229\) 5.31411 + 5.31411i 0.351166 + 0.351166i 0.860543 0.509377i \(-0.170124\pi\)
−0.509377 + 0.860543i \(0.670124\pi\)
\(230\) 5.64535 4.53268i 0.372243 0.298876i
\(231\) 0.142160 0.0820760i 0.00935343 0.00540021i
\(232\) 1.76872 + 3.06351i 0.116122 + 0.201129i
\(233\) 13.2710 + 13.2710i 0.869414 + 0.869414i 0.992408 0.122993i \(-0.0392494\pi\)
−0.122993 + 0.992408i \(0.539249\pi\)
\(234\) 0.914264 3.48771i 0.0597673 0.227999i
\(235\) −7.30462 16.5922i −0.476501 1.08236i
\(236\) −2.20990 + 8.24745i −0.143852 + 0.536863i
\(237\) 3.28557 12.2619i 0.213421 0.796498i
\(238\) 0.273150 0.0731902i 0.0177057 0.00474422i
\(239\) 7.55627 7.55627i 0.488775 0.488775i −0.419145 0.907919i \(-0.637670\pi\)
0.907919 + 0.419145i \(0.137670\pi\)
\(240\) −1.74360 + 1.39995i −0.112549 + 0.0903662i
\(241\) −2.00717 7.49086i −0.129293 0.482529i 0.870663 0.491880i \(-0.163690\pi\)
−0.999956 + 0.00935118i \(0.997023\pi\)
\(242\) −3.45818 −0.222300
\(243\) 0.258819 + 0.965926i 0.0166032 + 0.0619642i
\(244\) −5.07861 8.79641i −0.325125 0.563133i
\(245\) 9.24827 12.6182i 0.590851 0.806148i
\(246\) 8.03412i 0.512237i
\(247\) −30.5705 + 0.165969i −1.94516 + 0.0105603i
\(248\) 5.45532 5.45532i 0.346413 0.346413i
\(249\) 0.783059 + 0.209820i 0.0496244 + 0.0132968i
\(250\) 10.9642 2.18760i 0.693439 0.138356i
\(251\) −3.97075 2.29252i −0.250632 0.144702i 0.369422 0.929262i \(-0.379556\pi\)
−0.620053 + 0.784560i \(0.712889\pi\)
\(252\) 0.0597735i 0.00376537i
\(253\) −4.44582 + 7.70038i −0.279506 + 0.484119i
\(254\) −14.9266 + 3.99958i −0.936580 + 0.250956i
\(255\) 9.68200 4.26244i 0.606310 0.266924i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 6.06269 + 1.62449i 0.378180 + 0.101333i 0.442901 0.896570i \(-0.353949\pi\)
−0.0647212 + 0.997903i \(0.520616\pi\)
\(258\) −3.54145 + 2.04465i −0.220481 + 0.127295i
\(259\) 0.0268269 0.00166694
\(260\) −2.87976 + 7.53040i −0.178595 + 0.467016i
\(261\) −3.53743 −0.218962
\(262\) 3.04904 1.76037i 0.188371 0.108756i
\(263\) 2.94738 + 0.789749i 0.181743 + 0.0486980i 0.348543 0.937293i \(-0.386677\pi\)
−0.166799 + 0.985991i \(0.553343\pi\)
\(264\) 1.37312 2.37831i 0.0845096 0.146375i
\(265\) 10.6763 + 4.14940i 0.655842 + 0.254896i
\(266\) −0.489542 + 0.131172i −0.0300157 + 0.00804269i
\(267\) 6.76010 11.7088i 0.413712 0.716569i
\(268\) 9.80490i 0.598930i
\(269\) 18.0748 + 10.4355i 1.10204 + 0.636262i 0.936756 0.349984i \(-0.113813\pi\)
0.165283 + 0.986246i \(0.447146\pi\)
\(270\) −0.340590 2.20998i −0.0207276 0.134495i
\(271\) −8.49595 2.27648i −0.516093 0.138287i −0.00863393 0.999963i \(-0.502748\pi\)
−0.507459 + 0.861676i \(0.669415\pi\)
\(272\) 3.34529 3.34529i 0.202838 0.202838i
\(273\) −0.108770 0.186055i −0.00658305 0.0112605i
\(274\) 2.88333i 0.174188i
\(275\) −11.5779 + 7.38228i −0.698173 + 0.445168i
\(276\) 1.61888 + 2.80397i 0.0974448 + 0.168779i
\(277\) 4.77337 + 17.8145i 0.286804 + 1.07037i 0.947511 + 0.319723i \(0.103590\pi\)
−0.660707 + 0.750644i \(0.729743\pi\)
\(278\) 10.3055 0.618081
\(279\) 1.99679 + 7.45211i 0.119544 + 0.446146i
\(280\) −0.0145249 + 0.132866i −0.000868032 + 0.00794026i
\(281\) 6.35313 6.35313i 0.378996 0.378996i −0.491744 0.870740i \(-0.663640\pi\)
0.870740 + 0.491744i \(0.163640\pi\)
\(282\) 7.83126 2.09838i 0.466345 0.124957i
\(283\) −0.0862084 + 0.321734i −0.00512456 + 0.0191251i −0.968441 0.249244i \(-0.919818\pi\)
0.963316 + 0.268369i \(0.0864846\pi\)
\(284\) −0.474132 + 1.76948i −0.0281345 + 0.105000i
\(285\) −17.3522 + 7.63919i −1.02786 + 0.452507i
\(286\) −0.0537559 9.90155i −0.00317865 0.585491i
\(287\) 0.339572 + 0.339572i 0.0200443 + 0.0200443i
\(288\) −0.500000 0.866025i −0.0294628 0.0510310i
\(289\) −4.66085 + 2.69094i −0.274168 + 0.158291i
\(290\) 7.86309 + 0.859596i 0.461737 + 0.0504772i
\(291\) 7.52826 + 7.52826i 0.441314 + 0.441314i
\(292\) 9.57780 + 5.52975i 0.560498 + 0.323604i
\(293\) −17.4725 10.0877i −1.02075 0.589333i −0.106432 0.994320i \(-0.533943\pi\)
−0.914322 + 0.404987i \(0.867276\pi\)
\(294\) 4.94722 + 4.94722i 0.288528 + 0.288528i
\(295\) 11.9533 + 14.8875i 0.695948 + 0.866786i
\(296\) 0.388680 0.224405i 0.0225916 0.0130433i
\(297\) 1.37312 + 2.37831i 0.0796764 + 0.138004i
\(298\) −4.54758 4.54758i −0.263434 0.263434i
\(299\) 10.1414 + 5.78197i 0.586493 + 0.334380i
\(300\) 0.220047 + 4.99516i 0.0127044 + 0.288395i
\(301\) −0.0632637 + 0.236103i −0.00364646 + 0.0136088i
\(302\) 5.21612 19.4668i 0.300154 1.12019i
\(303\) −5.59293 + 1.49862i −0.321306 + 0.0860936i
\(304\) −5.99546 + 5.99546i −0.343863 + 0.343863i
\(305\) −22.5777 2.46820i −1.29280 0.141329i
\(306\) 1.22446 + 4.56975i 0.0699977 + 0.261235i
\(307\) −30.3433 −1.73178 −0.865891 0.500232i \(-0.833248\pi\)
−0.865891 + 0.500232i \(0.833248\pi\)
\(308\) −0.0424857 0.158559i −0.00242085 0.00903472i
\(309\) −4.10751 7.11442i −0.233668 0.404725i
\(310\) −2.62764 17.0499i −0.149240 0.968372i
\(311\) 3.98354i 0.225886i −0.993601 0.112943i \(-0.963972\pi\)
0.993601 0.112943i \(-0.0360277\pi\)
\(312\) −3.13224 1.78580i −0.177328 0.101101i
\(313\) 2.19346 2.19346i 0.123982 0.123982i −0.642393 0.766375i \(-0.722058\pi\)
0.766375 + 0.642393i \(0.222058\pi\)
\(314\) 10.9592 + 2.93652i 0.618466 + 0.165717i
\(315\) −0.107803 0.0790119i −0.00607400 0.00445182i
\(316\) −10.9937 6.34724i −0.618446 0.357060i
\(317\) 28.6926i 1.61154i −0.592230 0.805769i \(-0.701752\pi\)
0.592230 0.805769i \(-0.298248\pi\)
\(318\) −2.56127 + 4.43624i −0.143629 + 0.248772i
\(319\) −9.38361 + 2.51433i −0.525381 + 0.140775i
\(320\) 0.900968 + 2.04652i 0.0503657 + 0.114404i
\(321\) −3.99376 + 6.91740i −0.222910 + 0.386092i
\(322\) 0.186937 + 0.0500897i 0.0104176 + 0.00279139i
\(323\) 34.7390 20.0565i 1.93293 1.11598i
\(324\) 1.00000 0.0555556
\(325\) 9.77462 + 15.1478i 0.542198 + 0.840250i
\(326\) −18.8265 −1.04270
\(327\) 9.81025 5.66395i 0.542508 0.313217i
\(328\) 7.76037 + 2.07938i 0.428495 + 0.114815i
\(329\) 0.242307 0.419688i 0.0133588 0.0231382i
\(330\) −2.47427 5.62024i −0.136204 0.309384i
\(331\) 13.7595 3.68686i 0.756292 0.202648i 0.139985 0.990154i \(-0.455295\pi\)
0.616307 + 0.787506i \(0.288628\pi\)
\(332\) 0.405341 0.702072i 0.0222460 0.0385312i
\(333\) 0.448809i 0.0245946i
\(334\) −10.2611 5.92423i −0.561460 0.324159i
\(335\) 17.6834 + 12.9607i 0.966146 + 0.708117i
\(336\) −0.0577367 0.0154705i −0.00314980 0.000843985i
\(337\) −11.4486 + 11.4486i −0.623643 + 0.623643i −0.946461 0.322818i \(-0.895370\pi\)
0.322818 + 0.946461i \(0.395370\pi\)
\(338\) −12.9992 + 0.141151i −0.707065 + 0.00767759i
\(339\) 11.7002i 0.635470i
\(340\) −1.61131 10.4553i −0.0873857 0.567018i
\(341\) 10.5936 + 18.3486i 0.573675 + 0.993634i
\(342\) −2.19449 8.18996i −0.118665 0.442862i
\(343\) 0.836615 0.0451730
\(344\) 1.05839 + 3.94997i 0.0570646 + 0.212968i
\(345\) 7.19695 + 0.786773i 0.387471 + 0.0423584i
\(346\) −6.05793 + 6.05793i −0.325676 + 0.325676i
\(347\) −18.7437 + 5.02236i −1.00621 + 0.269614i −0.724047 0.689751i \(-0.757720\pi\)
−0.282167 + 0.959365i \(0.591053\pi\)
\(348\) −0.915555 + 3.41690i −0.0490789 + 0.183165i
\(349\) −7.44233 + 27.7752i −0.398379 + 1.48677i 0.417569 + 0.908645i \(0.362882\pi\)
−0.815948 + 0.578126i \(0.803784\pi\)
\(350\) 0.220427 + 0.201826i 0.0117823 + 0.0107880i
\(351\) 3.11267 1.81970i 0.166142 0.0971285i
\(352\) −1.94188 1.94188i −0.103503 0.103503i
\(353\) 9.91387 + 17.1713i 0.527662 + 0.913938i 0.999480 + 0.0322417i \(0.0102646\pi\)
−0.471818 + 0.881696i \(0.656402\pi\)
\(354\) −7.39446 + 4.26919i −0.393011 + 0.226905i
\(355\) 2.56457 + 3.19411i 0.136113 + 0.169526i
\(356\) −9.56023 9.56023i −0.506691 0.506691i
\(357\) 0.244899 + 0.141393i 0.0129614 + 0.00748329i
\(358\) −17.3814 10.0352i −0.918636 0.530375i
\(359\) 17.9231 + 17.9231i 0.945945 + 0.945945i 0.998612 0.0526669i \(-0.0167722\pi\)
−0.0526669 + 0.998612i \(0.516772\pi\)
\(360\) −2.22283 0.243000i −0.117153 0.0128072i
\(361\) −45.8051 + 26.4456i −2.41079 + 1.39187i
\(362\) −6.66561 11.5452i −0.350336 0.606801i
\(363\) −2.44531 2.44531i −0.128345 0.128345i
\(364\) −0.207867 + 0.0569091i −0.0108952 + 0.00298284i
\(365\) 22.6335 9.96425i 1.18469 0.521553i
\(366\) 2.62888 9.81113i 0.137414 0.512836i
\(367\) 6.21836 23.2072i 0.324596 1.21141i −0.590122 0.807314i \(-0.700920\pi\)
0.914717 0.404094i \(-0.132413\pi\)
\(368\) 3.12743 0.837992i 0.163028 0.0436833i
\(369\) −5.68098 + 5.68098i −0.295740 + 0.295740i
\(370\) 0.109061 0.997625i 0.00566979 0.0518640i
\(371\) 0.0792482 + 0.295758i 0.00411436 + 0.0153550i
\(372\) 7.71499 0.400003
\(373\) 2.66221 + 9.93549i 0.137844 + 0.514440i 0.999970 + 0.00774660i \(0.00246584\pi\)
−0.862126 + 0.506694i \(0.830867\pi\)
\(374\) 6.49615 + 11.2517i 0.335908 + 0.581810i
\(375\) 9.29975 + 6.20602i 0.480237 + 0.320478i
\(376\) 8.10752i 0.418113i
\(377\) 3.36791 + 12.3017i 0.173456 + 0.633570i
\(378\) 0.0422662 0.0422662i 0.00217394 0.00217394i
\(379\) 31.0601 + 8.32254i 1.59545 + 0.427500i 0.943665 0.330902i \(-0.107353\pi\)
0.651787 + 0.758402i \(0.274020\pi\)
\(380\) 2.88781 + 18.7381i 0.148142 + 0.961244i
\(381\) −13.3829 7.72659i −0.685624 0.395845i
\(382\) 2.25369i 0.115309i
\(383\) −7.32594 + 12.6889i −0.374338 + 0.648373i −0.990228 0.139460i \(-0.955463\pi\)
0.615890 + 0.787832i \(0.288797\pi\)
\(384\) −0.965926 + 0.258819i −0.0492922 + 0.0132078i
\(385\) −0.342124 0.132968i −0.0174363 0.00677668i
\(386\) 4.27016 7.39614i 0.217345 0.376453i
\(387\) −3.94997 1.05839i −0.200788 0.0538010i
\(388\) 9.22020 5.32328i 0.468085 0.270249i
\(389\) −32.7289 −1.65942 −0.829711 0.558194i \(-0.811495\pi\)
−0.829711 + 0.558194i \(0.811495\pi\)
\(390\) −7.36110 + 3.28850i −0.372744 + 0.166520i
\(391\) −15.3176 −0.774646
\(392\) 6.05908 3.49821i 0.306030 0.176686i
\(393\) 3.40077 + 0.911233i 0.171546 + 0.0459656i
\(394\) 5.50500 9.53494i 0.277338 0.480363i
\(395\) −25.9795 + 11.4373i −1.30717 + 0.575474i
\(396\) 2.65266 0.710778i 0.133301 0.0357180i
\(397\) −8.11811 + 14.0610i −0.407436 + 0.705700i −0.994602 0.103767i \(-0.966910\pi\)
0.587166 + 0.809467i \(0.300244\pi\)
\(398\) 18.4653i 0.925580i
\(399\) −0.438911 0.253406i −0.0219731 0.0126861i
\(400\) 4.88190 + 1.08029i 0.244095 + 0.0540146i
\(401\) −34.3382 9.20088i −1.71477 0.459470i −0.738181 0.674602i \(-0.764315\pi\)
−0.976585 + 0.215132i \(0.930982\pi\)
\(402\) −6.93311 + 6.93311i −0.345792 + 0.345792i
\(403\) 24.0142 14.0390i 1.19623 0.699331i
\(404\) 5.79023i 0.288075i
\(405\) 1.32186 1.80352i 0.0656836 0.0896178i
\(406\) 0.105722 + 0.183116i 0.00524691 + 0.00908791i
\(407\) 0.319004 + 1.19054i 0.0158124 + 0.0590128i
\(408\) 4.73095 0.234217
\(409\) 6.01537 + 22.4497i 0.297441 + 1.11006i 0.939259 + 0.343208i \(0.111514\pi\)
−0.641818 + 0.766857i \(0.721820\pi\)
\(410\) 14.0083 11.2474i 0.691821 0.555467i
\(411\) −2.03882 + 2.03882i −0.100568 + 0.100568i
\(412\) −7.93511 + 2.12621i −0.390935 + 0.104751i
\(413\) −0.132093 + 0.492978i −0.00649988 + 0.0242579i
\(414\) −0.837992 + 3.12743i −0.0411850 + 0.153705i
\(415\) −0.730399 1.65908i −0.0358539 0.0814411i
\(416\) −2.53563 + 2.56331i −0.124320 + 0.125677i
\(417\) 7.28707 + 7.28707i 0.356849 + 0.356849i
\(418\) −11.6425 20.1654i −0.569453 0.986321i
\(419\) −19.9734 + 11.5317i −0.975765 + 0.563358i −0.900989 0.433842i \(-0.857158\pi\)
−0.0747763 + 0.997200i \(0.523824\pi\)
\(420\) −0.104221 + 0.0836797i −0.00508547 + 0.00408315i
\(421\) −2.82066 2.82066i −0.137470 0.137470i 0.635023 0.772493i \(-0.280991\pi\)
−0.772493 + 0.635023i \(0.780991\pi\)
\(422\) −17.0139 9.82300i −0.828226 0.478176i
\(423\) 7.02131 + 4.05376i 0.341388 + 0.197100i
\(424\) 3.62218 + 3.62218i 0.175909 + 0.175909i
\(425\) −20.9863 10.9144i −1.01798 0.529424i
\(426\) −1.58648 + 0.915952i −0.0768650 + 0.0443780i
\(427\) −0.303566 0.525792i −0.0146906 0.0254449i
\(428\) 5.64803 + 5.64803i 0.273008 + 0.273008i
\(429\) 6.96344 7.03947i 0.336198 0.339869i
\(430\) 8.52290 + 3.31246i 0.411011 + 0.159741i
\(431\) −5.99669 + 22.3799i −0.288850 + 1.07800i 0.657130 + 0.753778i \(0.271770\pi\)
−0.945980 + 0.324226i \(0.894896\pi\)
\(432\) 0.258819 0.965926i 0.0124524 0.0464731i
\(433\) −2.45624 + 0.658147i −0.118039 + 0.0316285i −0.317355 0.948307i \(-0.602795\pi\)
0.199316 + 0.979935i \(0.436128\pi\)
\(434\) 0.326083 0.326083i 0.0156525 0.0156525i
\(435\) 4.95222 + 6.16787i 0.237441 + 0.295727i
\(436\) −2.93188 10.9419i −0.140411 0.524022i
\(437\) 27.4525 1.31323
\(438\) 2.86241 + 10.6827i 0.136771 + 0.510437i
\(439\) −6.91442 11.9761i −0.330007 0.571589i 0.652506 0.757784i \(-0.273718\pi\)
−0.982513 + 0.186195i \(0.940384\pi\)
\(440\) −6.06912 + 0.935339i −0.289334 + 0.0445906i
\(441\) 6.99643i 0.333163i
\(442\) 14.7259 8.60891i 0.700438 0.409484i
\(443\) −17.6040 + 17.6040i −0.836390 + 0.836390i −0.988382 0.151992i \(-0.951431\pi\)
0.151992 + 0.988382i \(0.451431\pi\)
\(444\) 0.433517 + 0.116160i 0.0205738 + 0.00551273i
\(445\) −29.8793 + 4.60484i −1.41642 + 0.218290i
\(446\) 1.22701 + 0.708412i 0.0581004 + 0.0335443i
\(447\) 6.43125i 0.304188i
\(448\) −0.0298867 + 0.0517653i −0.00141202 + 0.00244568i
\(449\) −27.0137 + 7.23830i −1.27486 + 0.341597i −0.831889 0.554942i \(-0.812741\pi\)
−0.442967 + 0.896538i \(0.646074\pi\)
\(450\) −3.37651 + 3.68770i −0.159170 + 0.173840i
\(451\) −11.0318 + 19.1076i −0.519467 + 0.899744i
\(452\) 11.3016 + 3.02824i 0.531581 + 0.142437i
\(453\) 17.4535 10.0768i 0.820036 0.473448i
\(454\) 1.59315 0.0747704
\(455\) −0.172133 + 0.450118i −0.00806974 + 0.0211019i
\(456\) −8.47887 −0.397059
\(457\) 21.2291 12.2566i 0.993053 0.573340i 0.0868678 0.996220i \(-0.472314\pi\)
0.906186 + 0.422880i \(0.138981\pi\)
\(458\) 7.25920 + 1.94510i 0.339200 + 0.0908884i
\(459\) −2.36547 + 4.09712i −0.110411 + 0.191237i
\(460\) 2.62267 6.74809i 0.122283 0.314631i
\(461\) 1.77089 0.474508i 0.0824784 0.0221000i −0.217344 0.976095i \(-0.569739\pi\)
0.299822 + 0.953995i \(0.403073\pi\)
\(462\) 0.0820760 0.142160i 0.00381852 0.00661388i
\(463\) 1.73101i 0.0804467i 0.999191 + 0.0402234i \(0.0128070\pi\)
−0.999191 + 0.0402234i \(0.987193\pi\)
\(464\) 3.06351 + 1.76872i 0.142220 + 0.0821106i
\(465\) 10.1981 13.9142i 0.472926 0.645254i
\(466\) 18.1286 + 4.85754i 0.839790 + 0.225021i
\(467\) 18.5723 18.5723i 0.859425 0.859425i −0.131845 0.991270i \(-0.542090\pi\)
0.991270 + 0.131845i \(0.0420901\pi\)
\(468\) −0.952079 3.47758i −0.0440099 0.160751i
\(469\) 0.586073i 0.0270623i
\(470\) −14.6221 10.7170i −0.674467 0.494337i
\(471\) 5.67292 + 9.82579i 0.261394 + 0.452748i
\(472\) 2.20990 + 8.24745i 0.101719 + 0.379620i
\(473\) −11.2302 −0.516366
\(474\) −3.28557 12.2619i −0.150911 0.563209i
\(475\) 37.6119 + 19.5608i 1.72575 + 0.897513i
\(476\) 0.199959 0.199959i 0.00916512 0.00916512i
\(477\) −4.94799 + 1.32581i −0.226553 + 0.0607046i
\(478\) 2.76579 10.3221i 0.126504 0.472120i
\(479\) 7.29554 27.2273i 0.333342 1.24405i −0.572314 0.820034i \(-0.693954\pi\)
0.905656 0.424013i \(-0.139379\pi\)
\(480\) −0.810029 + 2.08419i −0.0369726 + 0.0951299i
\(481\) 1.56077 0.427302i 0.0711650 0.0194833i
\(482\) −5.48369 5.48369i −0.249775 0.249775i
\(483\) 0.0967658 + 0.167603i 0.00440300 + 0.00762621i
\(484\) −2.99487 + 1.72909i −0.136131 + 0.0785951i
\(485\) 2.58711 23.6655i 0.117475 1.07459i
\(486\) 0.707107 + 0.707107i 0.0320750 + 0.0320750i
\(487\) −6.95941 4.01802i −0.315361 0.182074i 0.333962 0.942587i \(-0.391614\pi\)
−0.649323 + 0.760513i \(0.724948\pi\)
\(488\) −8.79641 5.07861i −0.398195 0.229898i
\(489\) −13.3123 13.3123i −0.602004 0.602004i
\(490\) 1.70013 15.5518i 0.0768041 0.702560i
\(491\) 20.8782 12.0541i 0.942221 0.543992i 0.0515655 0.998670i \(-0.483579\pi\)
0.890656 + 0.454678i \(0.150246\pi\)
\(492\) 4.01706 + 6.95775i 0.181103 + 0.313680i
\(493\) −11.8337 11.8337i −0.532964 0.532964i
\(494\) −26.3919 + 15.4290i −1.18743 + 0.694184i
\(495\) 2.22453 5.72368i 0.0999853 0.257260i
\(496\) 1.99679 7.45211i 0.0896583 0.334609i
\(497\) −0.0283405 + 0.105768i −0.00127124 + 0.00474435i
\(498\) 0.783059 0.209820i 0.0350897 0.00940226i
\(499\) −2.44387 + 2.44387i −0.109403 + 0.109403i −0.759689 0.650286i \(-0.774649\pi\)
0.650286 + 0.759689i \(0.274649\pi\)
\(500\) 8.40151 7.37663i 0.375727 0.329893i
\(501\) −3.06661 11.4447i −0.137006 0.511313i
\(502\) −4.58503 −0.204640
\(503\) −2.45857 9.17550i −0.109622 0.409115i 0.889206 0.457506i \(-0.151257\pi\)
−0.998828 + 0.0483911i \(0.984591\pi\)
\(504\) −0.0298867 0.0517653i −0.00133126 0.00230581i
\(505\) 10.4428 + 7.65385i 0.464699 + 0.340592i
\(506\) 8.89163i 0.395281i
\(507\) −9.29166 9.09204i −0.412657 0.403792i
\(508\) −10.9271 + 10.9271i −0.484810 + 0.484810i
\(509\) −35.5002 9.51225i −1.57352 0.421623i −0.636607 0.771189i \(-0.719663\pi\)
−0.936912 + 0.349565i \(0.886329\pi\)
\(510\) 6.25364 8.53238i 0.276916 0.377820i
\(511\) 0.572498 + 0.330532i 0.0253258 + 0.0146219i
\(512\) 1.00000i 0.0441942i
\(513\) 4.23943 7.34291i 0.187176 0.324198i
\(514\) 6.06269 1.62449i 0.267414 0.0716533i
\(515\) −6.65441 + 17.1217i −0.293228 + 0.754472i
\(516\) −2.04465 + 3.54145i −0.0900109 + 0.155903i
\(517\) 21.5065 + 5.76265i 0.945854 + 0.253441i
\(518\) 0.0232328 0.0134134i 0.00102079 0.000589353i
\(519\) −8.56720 −0.376058
\(520\) 1.27125 + 7.96140i 0.0557482 + 0.349131i
\(521\) 21.4660 0.940442 0.470221 0.882549i \(-0.344174\pi\)
0.470221 + 0.882549i \(0.344174\pi\)
\(522\) −3.06351 + 1.76872i −0.134086 + 0.0774146i
\(523\) 11.2954 + 3.02659i 0.493913 + 0.132344i 0.497174 0.867651i \(-0.334371\pi\)
−0.00326058 + 0.999995i \(0.501038\pi\)
\(524\) 1.76037 3.04904i 0.0769020 0.133198i
\(525\) 0.0131529 + 0.298578i 0.000574042 + 0.0130310i
\(526\) 2.94738 0.789749i 0.128512 0.0344347i
\(527\) −18.2496 + 31.6092i −0.794965 + 1.37692i
\(528\) 2.74624i 0.119515i
\(529\) 10.8400 + 6.25848i 0.471305 + 0.272108i
\(530\) 11.3207 1.74468i 0.491739 0.0757841i
\(531\) −8.24745 2.20990i −0.357909 0.0959014i
\(532\) −0.358370 + 0.358370i −0.0155373 + 0.0155373i
\(533\) 25.1648 + 14.3473i 1.09001 + 0.621451i
\(534\) 13.5202i 0.585077i
\(535\) 17.6522 2.72047i 0.763173 0.117616i
\(536\) 4.90245 + 8.49129i 0.211754 + 0.366768i
\(537\) −5.19458 19.3864i −0.224163 0.836587i
\(538\) 20.8710 0.899811
\(539\) 4.97291 + 18.5591i 0.214198 + 0.799399i
\(540\) −1.39995 1.74360i −0.0602442 0.0750327i
\(541\) 8.37451 8.37451i 0.360048 0.360048i −0.503782 0.863831i \(-0.668059\pi\)
0.863831 + 0.503782i \(0.168059\pi\)
\(542\) −8.49595 + 2.27648i −0.364933 + 0.0977834i
\(543\) 3.45037 12.8770i 0.148070 0.552603i
\(544\) 1.22446 4.56975i 0.0524983 0.195926i
\(545\) −23.6095 9.17593i −1.01132 0.393054i
\(546\) −0.187225 0.106743i −0.00801248 0.00456819i
\(547\) 2.65601 + 2.65601i 0.113563 + 0.113563i 0.761605 0.648042i \(-0.224412\pi\)
−0.648042 + 0.761605i \(0.724412\pi\)
\(548\) 1.44166 + 2.49703i 0.0615848 + 0.106668i
\(549\) 8.79641 5.07861i 0.375422 0.216750i
\(550\) −6.33560 + 12.1822i −0.270151 + 0.519450i
\(551\) 21.2085 + 21.2085i 0.903515 + 0.903515i
\(552\) 2.80397 + 1.61888i 0.119345 + 0.0689039i
\(553\) −0.657134 0.379397i −0.0279442 0.0161336i
\(554\) 13.0411 + 13.0411i 0.554063 + 0.554063i
\(555\) 0.782545 0.628310i 0.0332172 0.0266703i
\(556\) 8.92480 5.15274i 0.378496 0.218525i
\(557\) −16.3471 28.3139i −0.692647 1.19970i −0.970967 0.239212i \(-0.923111\pi\)
0.278320 0.960488i \(-0.410222\pi\)
\(558\) 5.45532 + 5.45532i 0.230942 + 0.230942i
\(559\) 0.0800457 + 14.7440i 0.00338557 + 0.623605i
\(560\) 0.0538540 + 0.122328i 0.00227575 + 0.00516929i
\(561\) −3.36266 + 12.5496i −0.141971 + 0.529845i
\(562\) 2.32541 8.67854i 0.0980914 0.366082i
\(563\) 3.02146 0.809599i 0.127339 0.0341205i −0.194586 0.980885i \(-0.562336\pi\)
0.321926 + 0.946765i \(0.395670\pi\)
\(564\) 5.73288 5.73288i 0.241398 0.241398i
\(565\) 20.4005 16.3797i 0.858257 0.689100i
\(566\) 0.0862084 + 0.321734i 0.00362361 + 0.0135235i
\(567\) 0.0597735 0.00251025
\(568\) 0.474132 + 1.76948i 0.0198941 + 0.0742459i
\(569\) 18.4196 + 31.9037i 0.772190 + 1.33747i 0.936360 + 0.351041i \(0.114172\pi\)
−0.164170 + 0.986432i \(0.552494\pi\)
\(570\) −11.2078 + 15.2918i −0.469445 + 0.640504i
\(571\) 18.0545i 0.755555i 0.925896 + 0.377778i \(0.123312\pi\)
−0.925896 + 0.377778i \(0.876688\pi\)
\(572\) −4.99733 8.54812i −0.208949 0.357415i
\(573\) 1.59360 1.59360i 0.0665735 0.0665735i
\(574\) 0.463864 + 0.124292i 0.0193613 + 0.00518785i
\(575\) −8.70354 13.6501i −0.362963 0.569247i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 33.4643i 1.39314i −0.717491 0.696568i \(-0.754710\pi\)
0.717491 0.696568i \(-0.245290\pi\)
\(578\) −2.69094 + 4.66085i −0.111928 + 0.193866i
\(579\) 8.24932 2.21040i 0.342830 0.0918610i
\(580\) 7.23944 3.18711i 0.300601 0.132338i
\(581\) 0.0242287 0.0419653i 0.00100517 0.00174101i
\(582\) 10.2838 + 2.75553i 0.426277 + 0.114221i
\(583\) −12.1830 + 7.03384i −0.504567 + 0.291312i
\(584\) 11.0595 0.457645
\(585\) −7.53040 2.87976i −0.311344 0.119064i
\(586\) −20.1755 −0.833442
\(587\) 3.75690 2.16905i 0.155064 0.0895261i −0.420460 0.907311i \(-0.638131\pi\)
0.575524 + 0.817785i \(0.304798\pi\)
\(588\) 6.75803 + 1.81081i 0.278696 + 0.0746765i
\(589\) 32.7072 56.6505i 1.34768 2.33424i
\(590\) 17.7956 + 6.91634i 0.732634 + 0.284741i
\(591\) 10.6348 2.84960i 0.437459 0.117217i
\(592\) 0.224405 0.388680i 0.00922298 0.0159747i
\(593\) 46.7207i 1.91859i −0.282404 0.959296i \(-0.591132\pi\)
0.282404 0.959296i \(-0.408868\pi\)
\(594\) 2.37831 + 1.37312i 0.0975833 + 0.0563397i
\(595\) −0.0963137 0.624949i −0.00394848 0.0256204i
\(596\) −6.21211 1.66453i −0.254458 0.0681818i
\(597\) −13.0569 + 13.0569i −0.534384 + 0.534384i
\(598\) 11.6737 0.0633770i 0.477373 0.00259168i
\(599\) 27.4403i 1.12118i −0.828093 0.560591i \(-0.810574\pi\)
0.828093 0.560591i \(-0.189426\pi\)
\(600\) 2.68814 + 4.21591i 0.109743 + 0.172114i
\(601\) −5.16355 8.94352i −0.210625 0.364814i 0.741285 0.671190i \(-0.234217\pi\)
−0.951910 + 0.306376i \(0.900883\pi\)
\(602\) 0.0632637 + 0.236103i 0.00257844 + 0.00962285i
\(603\) −9.80490 −0.399286
\(604\) −5.21612 19.4668i −0.212241 0.792094i
\(605\) −0.840338 + 7.68694i −0.0341646 + 0.312518i
\(606\) −4.09431 + 4.09431i −0.166320 + 0.166320i
\(607\) −10.5917 + 2.83804i −0.429905 + 0.115193i −0.467281 0.884109i \(-0.654767\pi\)
0.0373767 + 0.999301i \(0.488100\pi\)
\(608\) −2.19449 + 8.18996i −0.0889984 + 0.332147i
\(609\) −0.0547259 + 0.204240i −0.00221760 + 0.00827621i
\(610\) −20.7870 + 9.15134i −0.841641 + 0.370527i
\(611\) 7.41241 28.2767i 0.299874 1.14395i
\(612\) 3.34529 + 3.34529i 0.135225 + 0.135225i
\(613\) 15.9337 + 27.5980i 0.643556 + 1.11467i 0.984633 + 0.174636i \(0.0558749\pi\)
−0.341077 + 0.940035i \(0.610792\pi\)
\(614\) −26.2781 + 15.1716i −1.06050 + 0.612278i
\(615\) 17.8584 + 1.95229i 0.720122 + 0.0787240i
\(616\) −0.116073 0.116073i −0.00467672 0.00467672i
\(617\) −13.3982 7.73547i −0.539393 0.311418i 0.205440 0.978670i \(-0.434137\pi\)
−0.744833 + 0.667251i \(0.767471\pi\)
\(618\) −7.11442 4.10751i −0.286184 0.165228i
\(619\) −4.41938 4.41938i −0.177630 0.177630i 0.612692 0.790322i \(-0.290087\pi\)
−0.790322 + 0.612692i \(0.790087\pi\)
\(620\) −10.8006 13.4519i −0.433762 0.540240i
\(621\) −2.80397 + 1.61888i −0.112520 + 0.0649632i
\(622\) −1.99177 3.44984i −0.0798626 0.138326i
\(623\) −0.571448 0.571448i −0.0228946 0.0228946i
\(624\) −3.60550 + 0.0195744i −0.144335 + 0.000783603i
\(625\) −2.19833 24.9032i −0.0879334 0.996126i
\(626\) 0.802862 2.99632i 0.0320888 0.119757i
\(627\) 6.02659 22.4916i 0.240679 0.898226i
\(628\) 10.9592 2.93652i 0.437321 0.117180i
\(629\) −1.50140 + 1.50140i −0.0598646 + 0.0598646i
\(630\) −0.132866 0.0145249i −0.00529351 0.000578688i
\(631\) −6.31012 23.5497i −0.251202 0.937499i −0.970164 0.242449i \(-0.922049\pi\)
0.718962 0.695049i \(-0.244618\pi\)
\(632\) −12.6945 −0.504959
\(633\) −5.08476 18.9766i −0.202101 0.754251i
\(634\) −14.3463 24.8485i −0.569765 0.986862i
\(635\) 5.26319 + 34.1512i 0.208863 + 1.35525i
\(636\) 5.12253i 0.203122i
\(637\) 24.3306 6.66115i 0.964014 0.263924i
\(638\) −6.86928 + 6.86928i −0.271957 + 0.271957i
\(639\) −1.76948 0.474132i −0.0699997 0.0187564i
\(640\) 1.80352 + 1.32186i 0.0712905 + 0.0522510i
\(641\) −24.6489 14.2311i −0.973575 0.562094i −0.0732504 0.997314i \(-0.523337\pi\)
−0.900324 + 0.435220i \(0.856671\pi\)
\(642\) 7.98753i 0.315242i
\(643\) 13.6970 23.7239i 0.540158 0.935581i −0.458737 0.888572i \(-0.651698\pi\)
0.998894 0.0470085i \(-0.0149688\pi\)
\(644\) 0.186937 0.0500897i 0.00736636 0.00197381i
\(645\) 3.68434 + 8.36887i 0.145071 + 0.329524i
\(646\) 20.0565 34.7390i 0.789114 1.36679i
\(647\) 26.6819 + 7.14940i 1.04897 + 0.281072i 0.741828 0.670590i \(-0.233959\pi\)
0.307147 + 0.951662i \(0.400626\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) −23.4484 −0.920431
\(650\) 16.0390 + 8.23110i 0.629101 + 0.322850i
\(651\) 0.461151 0.0180740
\(652\) −16.3042 + 9.41324i −0.638522 + 0.368651i
\(653\) −33.4174 8.95417i −1.30772 0.350404i −0.463359 0.886171i \(-0.653356\pi\)
−0.844366 + 0.535767i \(0.820023\pi\)
\(654\) 5.66395 9.81025i 0.221478 0.383611i
\(655\) −3.17207 7.20526i −0.123943 0.281533i
\(656\) 7.76037 2.07938i 0.302991 0.0811863i
\(657\) −5.52975 + 9.57780i −0.215736 + 0.373666i
\(658\) 0.484614i 0.0188922i
\(659\) 7.95962 + 4.59549i 0.310063 + 0.179015i 0.646955 0.762529i \(-0.276042\pi\)
−0.336892 + 0.941543i \(0.609376\pi\)
\(660\) −4.95290 3.63013i −0.192791 0.141303i
\(661\) 33.9933 + 9.10847i 1.32219 + 0.354278i 0.849796 0.527112i \(-0.176725\pi\)
0.472389 + 0.881390i \(0.343392\pi\)
\(662\) 10.0727 10.0727i 0.391486 0.391486i
\(663\) 16.5002 + 4.32534i 0.640814 + 0.167982i
\(664\) 0.810683i 0.0314606i
\(665\) 0.172615 + 1.12004i 0.00669371 + 0.0434333i
\(666\) 0.224405 + 0.388680i 0.00869551 + 0.0150611i
\(667\) −2.96434 11.0631i −0.114780 0.428363i
\(668\) −11.8485 −0.458430
\(669\) 0.366701 + 1.36855i 0.0141775 + 0.0529111i
\(670\) 21.7946 + 2.38259i 0.841998 + 0.0920475i
\(671\) 19.7241 19.7241i 0.761442 0.761442i
\(672\) −0.0577367 + 0.0154705i −0.00222724 + 0.000596788i
\(673\) −1.65990 + 6.19481i −0.0639843 + 0.238793i −0.990510 0.137438i \(-0.956113\pi\)
0.926526 + 0.376230i \(0.122780\pi\)
\(674\) −4.19046 + 15.6390i −0.161411 + 0.602393i
\(675\) −4.99516 + 0.220047i −0.192264 + 0.00846960i
\(676\) −11.1871 + 6.62186i −0.430273 + 0.254687i
\(677\) 29.2524 + 29.2524i 1.12426 + 1.12426i 0.991094 + 0.133166i \(0.0425142\pi\)
0.133166 + 0.991094i \(0.457486\pi\)
\(678\) 5.85012 + 10.1327i 0.224672 + 0.389144i
\(679\) 0.551123 0.318191i 0.0211502 0.0122111i
\(680\) −6.62308 8.24889i −0.253984 0.316331i
\(681\) 1.12653 + 1.12653i 0.0431687 + 0.0431687i
\(682\) 18.3486 + 10.5936i 0.702606 + 0.405650i
\(683\) 10.5986 + 6.11911i 0.405544 + 0.234141i 0.688873 0.724882i \(-0.258106\pi\)
−0.283329 + 0.959023i \(0.591439\pi\)
\(684\) −5.99546 5.99546i −0.229242 0.229242i
\(685\) 6.40913 + 0.700648i 0.244880 + 0.0267704i
\(686\) 0.724530 0.418307i 0.0276627 0.0159711i
\(687\) 3.75764 + 6.50842i 0.143363 + 0.248312i
\(688\) 2.89158 + 2.89158i 0.110240 + 0.110240i
\(689\) 9.32148 + 15.9447i 0.355120 + 0.607446i
\(690\) 6.62613 2.91711i 0.252252 0.111053i
\(691\) 0.165414 0.617335i 0.00629266 0.0234845i −0.962708 0.270542i \(-0.912797\pi\)
0.969001 + 0.247058i \(0.0794637\pi\)
\(692\) −2.21736 + 8.27528i −0.0842912 + 0.314579i
\(693\) 0.158559 0.0424857i 0.00602315 0.00161390i
\(694\) −13.7213 + 13.7213i −0.520855 + 0.520855i
\(695\) 2.50423 22.9073i 0.0949908 0.868922i
\(696\) 0.915555 + 3.41690i 0.0347040 + 0.129517i
\(697\) −38.0090 −1.43969
\(698\) 7.44233 + 27.7752i 0.281697 + 1.05131i
\(699\) 9.38404 + 16.2536i 0.354937 + 0.614769i
\(700\) 0.291808 + 0.0645728i 0.0110293 + 0.00244062i
\(701\) 8.15376i 0.307963i 0.988074 + 0.153982i \(0.0492097\pi\)
−0.988074 + 0.153982i \(0.950790\pi\)
\(702\) 1.78580 3.13224i 0.0674006 0.118219i
\(703\) 2.69082 2.69082i 0.101486 0.101486i
\(704\) −2.65266 0.710778i −0.0999759 0.0267885i
\(705\) −2.76133 17.9174i −0.103998 0.674809i
\(706\) 17.1713 + 9.91387i 0.646252 + 0.373114i
\(707\) 0.346102i 0.0130165i
\(708\) −4.26919 + 7.39446i −0.160446 + 0.277901i
\(709\) −23.1506 + 6.20318i −0.869438 + 0.232965i −0.665845 0.746090i \(-0.731929\pi\)
−0.203593 + 0.979056i \(0.565262\pi\)
\(710\) 3.81804 + 1.48390i 0.143288 + 0.0556896i
\(711\) 6.34724 10.9937i 0.238040 0.412298i
\(712\) −13.0595 3.49929i −0.489426 0.131141i
\(713\) −21.6326 + 12.4896i −0.810148 + 0.467739i
\(714\) 0.282785 0.0105830
\(715\) −22.0225 2.28659i −0.823594 0.0855135i
\(716\) −20.0703 −0.750063
\(717\) 9.25450 5.34309i 0.345616 0.199541i
\(718\) 24.4834 + 6.56031i 0.913713 + 0.244829i
\(719\) −17.5179 + 30.3418i −0.653306 + 1.13156i 0.329010 + 0.944327i \(0.393285\pi\)
−0.982316 + 0.187232i \(0.940048\pi\)
\(720\) −2.04652 + 0.900968i −0.0762694 + 0.0335771i
\(721\) −0.474309 + 0.127091i −0.0176642 + 0.00473310i
\(722\) −26.4456 + 45.8051i −0.984203 + 1.70469i
\(723\) 7.75511i 0.288416i
\(724\) −11.5452 6.66561i −0.429073 0.247725i
\(725\) 3.82146 17.2694i 0.141926 0.641369i
\(726\) −3.34035 0.895044i −0.123972 0.0332182i
\(727\) 36.3067 36.3067i 1.34654 1.34654i 0.457150 0.889389i \(-0.348870\pi\)
0.889389 0.457150i \(-0.151130\pi\)
\(728\) −0.151563 + 0.153218i −0.00561731 + 0.00567864i
\(729\) 1.00000i 0.0370370i
\(730\) 14.6191 19.9461i 0.541076 0.738236i
\(731\) −9.67316 16.7544i −0.357775 0.619684i
\(732\) −2.62888 9.81113i −0.0971663 0.362630i
\(733\) −31.5778 −1.16635 −0.583176 0.812346i \(-0.698190\pi\)
−0.583176 + 0.812346i \(0.698190\pi\)
\(734\) −6.21836 23.2072i −0.229524 0.856595i
\(735\) 12.1990 9.79463i 0.449966 0.361280i
\(736\) 2.28944 2.28944i 0.0843897 0.0843897i
\(737\) −26.0091 + 6.96911i −0.958057 + 0.256711i
\(738\) −2.07938 + 7.76037i −0.0765432 + 0.285663i
\(739\) −2.98484 + 11.1396i −0.109799 + 0.409775i −0.998845 0.0480419i \(-0.984702\pi\)
0.889046 + 0.457817i \(0.151369\pi\)
\(740\) −0.404363 0.918499i −0.0148647 0.0337647i
\(741\) −29.5718 7.75192i −1.08635 0.284774i
\(742\) 0.216510 + 0.216510i 0.00794834 + 0.00794834i
\(743\) −9.17935 15.8991i −0.336758 0.583282i 0.647063 0.762436i \(-0.275997\pi\)
−0.983821 + 0.179155i \(0.942664\pi\)
\(744\) 6.68138 3.85749i 0.244951 0.141423i
\(745\) −11.2135 + 9.00342i −0.410832 + 0.329860i
\(746\) 7.27329 + 7.27329i 0.266294 + 0.266294i
\(747\) 0.702072 + 0.405341i 0.0256875 + 0.0148307i
\(748\) 11.2517 + 6.49615i 0.411402 + 0.237523i
\(749\) 0.337603 + 0.337603i 0.0123357 + 0.0123357i
\(750\) 11.1568 + 0.724697i 0.407390 + 0.0264622i
\(751\) −43.8619 + 25.3237i −1.60054 + 0.924074i −0.609164 + 0.793044i \(0.708495\pi\)
−0.991378 + 0.131030i \(0.958172\pi\)
\(752\) −4.05376 7.02131i −0.147825 0.256041i
\(753\) −3.24211 3.24211i −0.118149 0.118149i
\(754\) 9.06755 + 8.96962i 0.330221 + 0.326654i
\(755\) −42.0038 16.3250i −1.52868 0.594126i
\(756\) 0.0154705 0.0577367i 0.000562657 0.00209986i
\(757\) −2.22914 + 8.31926i −0.0810194 + 0.302369i −0.994531 0.104445i \(-0.966693\pi\)
0.913511 + 0.406813i \(0.133360\pi\)
\(758\) 31.0601 8.32254i 1.12815 0.302288i
\(759\) −6.28733 + 6.28733i −0.228216 + 0.228216i
\(760\) 11.8700 + 14.7838i 0.430569 + 0.536264i
\(761\) 11.1159 + 41.4849i 0.402949 + 1.50383i 0.807807 + 0.589447i \(0.200654\pi\)
−0.404858 + 0.914380i \(0.632679\pi\)
\(762\) −15.4532 −0.559810
\(763\) −0.175248 0.654036i −0.00634442 0.0236777i
\(764\) −1.12684 1.95175i −0.0407678 0.0706119i
\(765\) 10.4553 1.61131i 0.378012 0.0582571i
\(766\) 14.6519i 0.529394i
\(767\) 0.167134 + 30.7851i 0.00603485 + 1.11159i
\(768\) −0.707107 + 0.707107i −0.0255155 + 0.0255155i
\(769\) −3.61036 0.967392i −0.130193 0.0348851i 0.193134 0.981172i \(-0.438135\pi\)
−0.323327 + 0.946287i \(0.604801\pi\)
\(770\) −0.362772 + 0.0559085i −0.0130734 + 0.00201480i
\(771\) 5.43566 + 3.13828i 0.195760 + 0.113022i
\(772\) 8.54032i 0.307373i