Properties

Label 49.4.e.a.15.1
Level $49$
Weight $4$
Character 49.15
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 15.1
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16701 + 5.11301i) q^{2} +(-1.24065 + 1.55573i) q^{3} +(-17.5732 - 8.46282i) q^{4} +(0.849213 - 1.06488i) q^{5} +(-6.50660 - 8.15902i) q^{6} +(-18.2375 + 3.22369i) q^{7} +(37.6195 - 47.1733i) q^{8} +(5.12699 + 22.4628i) q^{9} +O(q^{10})\) \(q+(-1.16701 + 5.11301i) q^{2} +(-1.24065 + 1.55573i) q^{3} +(-17.5732 - 8.46282i) q^{4} +(0.849213 - 1.06488i) q^{5} +(-6.50660 - 8.15902i) q^{6} +(-18.2375 + 3.22369i) q^{7} +(37.6195 - 47.1733i) q^{8} +(5.12699 + 22.4628i) q^{9} +(4.45370 + 5.58476i) q^{10} +(4.10883 - 18.0020i) q^{11} +(34.9681 - 16.8397i) q^{12} +(-4.72905 + 20.7193i) q^{13} +(4.80067 - 97.0108i) q^{14} +(0.603085 + 2.64229i) q^{15} +(100.007 + 125.405i) q^{16} +(-113.591 + 54.7028i) q^{17} -120.836 q^{18} -50.2875 q^{19} +(-23.9353 + 11.5266i) q^{20} +(17.6112 - 32.3721i) q^{21} +(87.2491 + 42.0170i) q^{22} +(74.0563 + 35.6637i) q^{23} +(26.7162 + 117.051i) q^{24} +(27.4023 + 120.057i) q^{25} +(-100.419 - 48.3593i) q^{26} +(-89.7123 - 43.2031i) q^{27} +(347.774 + 97.6904i) q^{28} +(-52.6355 + 25.3479i) q^{29} -14.2139 q^{30} +319.654 q^{31} +(-323.012 + 155.554i) q^{32} +(22.9085 + 28.7264i) q^{33} +(-147.133 - 644.633i) q^{34} +(-12.0547 + 22.1584i) q^{35} +(100.001 - 438.133i) q^{36} +(-240.081 + 115.617i) q^{37} +(58.6861 - 257.121i) q^{38} +(-26.3665 - 33.0625i) q^{39} +(-18.2870 - 80.1204i) q^{40} +(153.419 - 192.382i) q^{41} +(144.966 + 127.825i) q^{42} +(225.042 + 282.193i) q^{43} +(-224.553 + 281.580i) q^{44} +(28.2741 + 13.6161i) q^{45} +(-268.773 + 337.031i) q^{46} +(-31.0669 + 136.113i) q^{47} -319.170 q^{48} +(322.216 - 117.584i) q^{49} -645.833 q^{50} +(55.8248 - 244.584i) q^{51} +(258.448 - 324.084i) q^{52} +(276.076 + 132.951i) q^{53} +(325.593 - 408.281i) q^{54} +(-15.6806 - 19.6629i) q^{55} +(-534.014 + 981.599i) q^{56} +(62.3892 - 78.2336i) q^{57} +(-68.1779 - 298.707i) q^{58} +(-350.804 - 439.895i) q^{59} +(11.7631 - 51.5373i) q^{60} +(-561.994 + 270.642i) q^{61} +(-373.040 + 1634.39i) q^{62} +(-165.917 - 393.139i) q^{63} +(-132.856 - 582.079i) q^{64} +(18.0476 + 22.6310i) q^{65} +(-173.613 + 83.6075i) q^{66} +923.511 q^{67} +2459.11 q^{68} +(-147.361 + 70.9653i) q^{69} +(-99.2280 - 87.4950i) q^{70} +(-176.608 - 85.0501i) q^{71} +(1252.52 + 603.182i) q^{72} +(-13.8656 - 60.7491i) q^{73} +(-310.974 - 1362.47i) q^{74} +(-220.773 - 106.319i) q^{75} +(883.713 + 425.574i) q^{76} +(-16.9023 + 341.557i) q^{77} +(199.819 - 96.2278i) q^{78} -432.393 q^{79} +218.468 q^{80} +(-381.973 + 183.948i) q^{81} +(804.608 + 1008.95i) q^{82} +(-166.433 - 729.192i) q^{83} +(-583.445 + 419.841i) q^{84} +(-38.2115 + 167.415i) q^{85} +(-1705.48 + 821.317i) q^{86} +(25.8678 - 113.334i) q^{87} +(-694.640 - 871.051i) q^{88} +(72.8537 + 319.193i) q^{89} +(-102.615 + 128.676i) q^{90} +(19.4536 - 393.114i) q^{91} +(-999.593 - 1253.45i) q^{92} +(-396.579 + 497.295i) q^{93} +(-659.691 - 317.691i) q^{94} +(-42.7048 + 53.5501i) q^{95} +(158.745 - 695.507i) q^{96} -1538.64 q^{97} +(225.180 + 1784.71i) q^{98} +425.441 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16701 + 5.11301i −0.412601 + 1.80772i 0.159103 + 0.987262i \(0.449140\pi\)
−0.571703 + 0.820460i \(0.693717\pi\)
\(3\) −1.24065 + 1.55573i −0.238763 + 0.299400i −0.886748 0.462254i \(-0.847041\pi\)
0.647984 + 0.761654i \(0.275612\pi\)
\(4\) −17.5732 8.46282i −2.19665 1.05785i
\(5\) 0.849213 1.06488i 0.0759559 0.0952457i −0.742402 0.669955i \(-0.766313\pi\)
0.818358 + 0.574709i \(0.194885\pi\)
\(6\) −6.50660 8.15902i −0.442718 0.555151i
\(7\) −18.2375 + 3.22369i −0.984735 + 0.174063i
\(8\) 37.6195 47.1733i 1.66256 2.08479i
\(9\) 5.12699 + 22.4628i 0.189889 + 0.831956i
\(10\) 4.45370 + 5.58476i 0.140838 + 0.176606i
\(11\) 4.10883 18.0020i 0.112623 0.493436i −0.886882 0.461996i \(-0.847134\pi\)
0.999506 0.0314400i \(-0.0100093\pi\)
\(12\) 34.9681 16.8397i 0.841201 0.405101i
\(13\) −4.72905 + 20.7193i −0.100892 + 0.442039i 0.899098 + 0.437747i \(0.144223\pi\)
−0.999991 + 0.00429192i \(0.998634\pi\)
\(14\) 4.80067 97.0108i 0.0916452 1.85195i
\(15\) 0.603085 + 2.64229i 0.0103811 + 0.0454824i
\(16\) 100.007 + 125.405i 1.56261 + 1.95945i
\(17\) −113.591 + 54.7028i −1.62059 + 0.780433i −0.999993 0.00369931i \(-0.998822\pi\)
−0.620593 + 0.784133i \(0.713108\pi\)
\(18\) −120.836 −1.58229
\(19\) −50.2875 −0.607197 −0.303598 0.952800i \(-0.598188\pi\)
−0.303598 + 0.952800i \(0.598188\pi\)
\(20\) −23.9353 + 11.5266i −0.267605 + 0.128872i
\(21\) 17.6112 32.3721i 0.183004 0.336389i
\(22\) 87.2491 + 42.0170i 0.845526 + 0.407184i
\(23\) 74.0563 + 35.6637i 0.671383 + 0.323321i 0.738334 0.674435i \(-0.235613\pi\)
−0.0669509 + 0.997756i \(0.521327\pi\)
\(24\) 26.7162 + 117.051i 0.227226 + 0.995541i
\(25\) 27.4023 + 120.057i 0.219218 + 0.960459i
\(26\) −100.419 48.3593i −0.757455 0.364771i
\(27\) −89.7123 43.2031i −0.639449 0.307943i
\(28\) 347.774 + 97.6904i 2.34725 + 0.659348i
\(29\) −52.6355 + 25.3479i −0.337040 + 0.162310i −0.594746 0.803913i \(-0.702748\pi\)
0.257706 + 0.966223i \(0.417033\pi\)
\(30\) −14.2139 −0.0865028
\(31\) 319.654 1.85199 0.925993 0.377541i \(-0.123230\pi\)
0.925993 + 0.377541i \(0.123230\pi\)
\(32\) −323.012 + 155.554i −1.78441 + 0.859325i
\(33\) 22.9085 + 28.7264i 0.120844 + 0.151534i
\(34\) −147.133 644.633i −0.742151 3.25158i
\(35\) −12.0547 + 22.1584i −0.0582177 + 0.107013i
\(36\) 100.001 438.133i 0.462967 2.02839i
\(37\) −240.081 + 115.617i −1.06673 + 0.513712i −0.883052 0.469274i \(-0.844516\pi\)
−0.183681 + 0.982986i \(0.558801\pi\)
\(38\) 58.6861 257.121i 0.250530 1.09764i
\(39\) −26.3665 33.0625i −0.108257 0.135750i
\(40\) −18.2870 80.1204i −0.0722855 0.316704i
\(41\) 153.419 192.382i 0.584392 0.732805i −0.398463 0.917184i \(-0.630456\pi\)
0.982855 + 0.184380i \(0.0590277\pi\)
\(42\) 144.966 + 127.825i 0.532591 + 0.469615i
\(43\) 225.042 + 282.193i 0.798105 + 1.00079i 0.999772 + 0.0213378i \(0.00679255\pi\)
−0.201667 + 0.979454i \(0.564636\pi\)
\(44\) −224.553 + 281.580i −0.769377 + 0.964768i
\(45\) 28.2741 + 13.6161i 0.0936634 + 0.0451059i
\(46\) −268.773 + 337.031i −0.861488 + 1.08027i
\(47\) −31.0669 + 136.113i −0.0964164 + 0.422428i −0.999982 0.00602220i \(-0.998083\pi\)
0.903565 + 0.428450i \(0.140940\pi\)
\(48\) −319.170 −0.959753
\(49\) 322.216 117.584i 0.939404 0.342811i
\(50\) −645.833 −1.82669
\(51\) 55.8248 244.584i 0.153275 0.671542i
\(52\) 258.448 324.084i 0.689237 0.864276i
\(53\) 276.076 + 132.951i 0.715509 + 0.344571i 0.755966 0.654610i \(-0.227167\pi\)
−0.0404576 + 0.999181i \(0.512882\pi\)
\(54\) 325.593 408.281i 0.820512 1.02889i
\(55\) −15.6806 19.6629i −0.0384432 0.0482063i
\(56\) −534.014 + 981.599i −1.27430 + 2.34235i
\(57\) 62.3892 78.2336i 0.144976 0.181795i
\(58\) −68.1779 298.707i −0.154348 0.676244i
\(59\) −350.804 439.895i −0.774082 0.970668i 0.225912 0.974148i \(-0.427464\pi\)
−0.999994 + 0.00348006i \(0.998892\pi\)
\(60\) 11.7631 51.5373i 0.0253101 0.110891i
\(61\) −561.994 + 270.642i −1.17961 + 0.568068i −0.917796 0.397052i \(-0.870033\pi\)
−0.261809 + 0.965120i \(0.584319\pi\)
\(62\) −373.040 + 1634.39i −0.764131 + 3.34788i
\(63\) −165.917 393.139i −0.331803 0.786204i
\(64\) −132.856 582.079i −0.259484 1.13687i
\(65\) 18.0476 + 22.6310i 0.0344389 + 0.0431850i
\(66\) −173.613 + 83.6075i −0.323792 + 0.155930i
\(67\) 923.511 1.68395 0.841976 0.539515i \(-0.181392\pi\)
0.841976 + 0.539515i \(0.181392\pi\)
\(68\) 2459.11 4.38545
\(69\) −147.361 + 70.9653i −0.257104 + 0.123815i
\(70\) −99.2280 87.4950i −0.169429 0.149395i
\(71\) −176.608 85.0501i −0.295205 0.142163i 0.280419 0.959878i \(-0.409527\pi\)
−0.575624 + 0.817714i \(0.695241\pi\)
\(72\) 1252.52 + 603.182i 2.05015 + 0.987301i
\(73\) −13.8656 60.7491i −0.0222308 0.0973993i 0.962595 0.270943i \(-0.0873354\pi\)
−0.984826 + 0.173543i \(0.944478\pi\)
\(74\) −310.974 1362.47i −0.488513 2.14032i
\(75\) −220.773 106.319i −0.339903 0.163689i
\(76\) 883.713 + 425.574i 1.33380 + 0.642324i
\(77\) −16.9023 + 341.557i −0.0250155 + 0.505507i
\(78\) 199.819 96.2278i 0.290065 0.139688i
\(79\) −432.393 −0.615798 −0.307899 0.951419i \(-0.599626\pi\)
−0.307899 + 0.951419i \(0.599626\pi\)
\(80\) 218.468 0.305319
\(81\) −381.973 + 183.948i −0.523968 + 0.252330i
\(82\) 804.608 + 1008.95i 1.08359 + 1.35877i
\(83\) −166.433 729.192i −0.220102 0.964329i −0.957401 0.288762i \(-0.906756\pi\)
0.737299 0.675566i \(-0.236101\pi\)
\(84\) −583.445 + 419.841i −0.757847 + 0.545339i
\(85\) −38.2115 + 167.415i −0.0487602 + 0.213632i
\(86\) −1705.48 + 821.317i −2.13845 + 1.02982i
\(87\) 25.8678 113.334i 0.0318773 0.139663i
\(88\) −694.640 871.051i −0.841464 1.05516i
\(89\) 72.8537 + 319.193i 0.0867694 + 0.380162i 0.999603 0.0281697i \(-0.00896789\pi\)
−0.912834 + 0.408331i \(0.866111\pi\)
\(90\) −102.615 + 128.676i −0.120185 + 0.150707i
\(91\) 19.4536 393.114i 0.0224098 0.452852i
\(92\) −999.593 1253.45i −1.13277 1.42045i
\(93\) −396.579 + 497.295i −0.442187 + 0.554484i
\(94\) −659.691 317.691i −0.723851 0.348588i
\(95\) −42.7048 + 53.5501i −0.0461202 + 0.0578329i
\(96\) 158.745 695.507i 0.168769 0.739426i
\(97\) −1538.64 −1.61057 −0.805285 0.592889i \(-0.797987\pi\)
−0.805285 + 0.592889i \(0.797987\pi\)
\(98\) 225.180 + 1784.71i 0.232109 + 1.83963i
\(99\) 425.441 0.431903
\(100\) 534.477 2341.69i 0.534477 2.34169i
\(101\) 933.270 1170.28i 0.919444 1.15295i −0.0684252 0.997656i \(-0.521797\pi\)
0.987869 0.155290i \(-0.0496311\pi\)
\(102\) 1185.41 + 570.865i 1.15072 + 0.554158i
\(103\) −765.314 + 959.673i −0.732122 + 0.918052i −0.998956 0.0456902i \(-0.985451\pi\)
0.266833 + 0.963743i \(0.414023\pi\)
\(104\) 799.494 + 1002.53i 0.753816 + 0.945255i
\(105\) −19.5167 46.2447i −0.0181394 0.0429811i
\(106\) −1001.97 + 1256.42i −0.918108 + 1.15127i
\(107\) −324.218 1420.49i −0.292928 1.28340i −0.880429 0.474179i \(-0.842745\pi\)
0.587500 0.809224i \(-0.300112\pi\)
\(108\) 1210.91 + 1518.44i 1.07889 + 1.35289i
\(109\) −135.454 + 593.463i −0.119029 + 0.521500i 0.879897 + 0.475164i \(0.157611\pi\)
−0.998926 + 0.0463353i \(0.985246\pi\)
\(110\) 118.836 57.2285i 0.103005 0.0496047i
\(111\) 117.989 516.942i 0.100892 0.442035i
\(112\) −2228.15 1964.68i −1.87982 1.65755i
\(113\) 173.007 + 757.993i 0.144028 + 0.631026i 0.994476 + 0.104967i \(0.0334738\pi\)
−0.850448 + 0.526059i \(0.823669\pi\)
\(114\) 327.200 + 410.296i 0.268817 + 0.337086i
\(115\) 100.867 48.5750i 0.0817905 0.0393882i
\(116\) 1139.49 0.912060
\(117\) −489.660 −0.386915
\(118\) 2658.58 1280.30i 2.07408 0.998826i
\(119\) 1895.28 1363.83i 1.46000 1.05060i
\(120\) 147.333 + 70.9519i 0.112080 + 0.0539750i
\(121\) 892.002 + 429.565i 0.670174 + 0.322739i
\(122\) −727.942 3189.32i −0.540203 2.36678i
\(123\) 108.954 + 477.357i 0.0798701 + 0.349934i
\(124\) −5617.35 2705.17i −4.06817 1.95913i
\(125\) 304.511 + 146.645i 0.217890 + 0.104930i
\(126\) 2203.75 389.537i 1.55814 0.275419i
\(127\) 952.900 458.893i 0.665797 0.320631i −0.0702813 0.997527i \(-0.522390\pi\)
0.736078 + 0.676896i \(0.236675\pi\)
\(128\) 263.093 0.181675
\(129\) −718.214 −0.490195
\(130\) −136.774 + 65.8669i −0.0922760 + 0.0444378i
\(131\) 76.1010 + 95.4276i 0.0507555 + 0.0636454i 0.806561 0.591150i \(-0.201326\pi\)
−0.755806 + 0.654796i \(0.772755\pi\)
\(132\) −159.470 698.685i −0.105152 0.460703i
\(133\) 917.120 162.111i 0.597928 0.105690i
\(134\) −1077.75 + 4721.92i −0.694800 + 3.04412i
\(135\) −122.191 + 58.8441i −0.0779002 + 0.0375147i
\(136\) −1692.74 + 7416.37i −1.06729 + 4.67609i
\(137\) 862.337 + 1081.34i 0.537770 + 0.674342i 0.974276 0.225359i \(-0.0723556\pi\)
−0.436506 + 0.899701i \(0.643784\pi\)
\(138\) −190.875 836.276i −0.117741 0.515859i
\(139\) 363.821 456.218i 0.222007 0.278388i −0.658338 0.752723i \(-0.728740\pi\)
0.880344 + 0.474335i \(0.157311\pi\)
\(140\) 399.362 287.377i 0.241088 0.173484i
\(141\) −173.211 217.200i −0.103454 0.129727i
\(142\) 640.966 803.746i 0.378793 0.474992i
\(143\) 353.557 + 170.264i 0.206755 + 0.0995679i
\(144\) −2304.21 + 2889.39i −1.33346 + 1.67210i
\(145\) −17.7063 + 77.5762i −0.0101409 + 0.0444300i
\(146\) 326.792 0.185243
\(147\) −216.828 + 647.161i −0.121658 + 0.363108i
\(148\) 5197.45 2.88667
\(149\) −102.284 + 448.134i −0.0562377 + 0.246393i −0.995232 0.0975405i \(-0.968902\pi\)
0.938994 + 0.343934i \(0.111760\pi\)
\(150\) 801.254 1004.74i 0.436148 0.546912i
\(151\) 132.423 + 63.7713i 0.0713668 + 0.0343685i 0.469227 0.883078i \(-0.344533\pi\)
−0.397860 + 0.917446i \(0.630247\pi\)
\(152\) −1891.79 + 2372.23i −1.00950 + 1.26588i
\(153\) −1811.16 2271.12i −0.957017 1.20006i
\(154\) −1726.66 485.022i −0.903495 0.253794i
\(155\) 271.454 340.393i 0.140669 0.176394i
\(156\) 183.542 + 804.150i 0.0941995 + 0.412715i
\(157\) 2070.11 + 2595.84i 1.05231 + 1.31956i 0.945624 + 0.325263i \(0.105453\pi\)
0.106687 + 0.994293i \(0.465976\pi\)
\(158\) 504.608 2210.83i 0.254079 1.11319i
\(159\) −549.350 + 264.553i −0.274002 + 0.131952i
\(160\) −108.659 + 476.068i −0.0536892 + 0.235228i
\(161\) −1465.57 411.683i −0.717412 0.201523i
\(162\) −494.764 2167.70i −0.239953 1.05130i
\(163\) 1029.09 + 1290.43i 0.494505 + 0.620090i 0.964980 0.262324i \(-0.0844888\pi\)
−0.470475 + 0.882413i \(0.655917\pi\)
\(164\) −4324.16 + 2082.41i −2.05891 + 0.991516i
\(165\) 50.0443 0.0236118
\(166\) 3922.60 1.83405
\(167\) −1543.27 + 743.199i −0.715100 + 0.344374i −0.755805 0.654797i \(-0.772754\pi\)
0.0407048 + 0.999171i \(0.487040\pi\)
\(168\) −864.574 2048.60i −0.397044 0.940792i
\(169\) 1572.50 + 757.277i 0.715750 + 0.344687i
\(170\) −811.404 390.751i −0.366070 0.176290i
\(171\) −257.824 1129.60i −0.115300 0.505161i
\(172\) −1566.55 6863.53i −0.694469 3.04267i
\(173\) −708.633 341.260i −0.311424 0.149974i 0.271643 0.962398i \(-0.412433\pi\)
−0.583067 + 0.812424i \(0.698147\pi\)
\(174\) 549.292 + 264.525i 0.239320 + 0.115251i
\(175\) −886.778 2101.21i −0.383052 0.907639i
\(176\) 2668.44 1285.05i 1.14285 0.550367i
\(177\) 1119.58 0.475440
\(178\) −1717.06 −0.723028
\(179\) −451.445 + 217.405i −0.188506 + 0.0907798i −0.525756 0.850635i \(-0.676218\pi\)
0.337250 + 0.941415i \(0.390503\pi\)
\(180\) −381.636 478.557i −0.158031 0.198164i
\(181\) 291.942 + 1279.08i 0.119889 + 0.525267i 0.998831 + 0.0483390i \(0.0153928\pi\)
−0.878942 + 0.476928i \(0.841750\pi\)
\(182\) 1987.29 + 558.235i 0.809385 + 0.227358i
\(183\) 276.193 1210.08i 0.111567 0.488808i
\(184\) 4468.33 2151.84i 1.79027 0.862149i
\(185\) −80.7619 + 353.841i −0.0320959 + 0.140621i
\(186\) −2079.86 2608.06i −0.819907 1.02813i
\(187\) 518.029 + 2269.63i 0.202578 + 0.887550i
\(188\) 1697.84 2129.03i 0.658659 0.825933i
\(189\) 1775.40 + 498.715i 0.683289 + 0.191937i
\(190\) −223.965 280.844i −0.0855166 0.107234i
\(191\) −419.302 + 525.788i −0.158846 + 0.199187i −0.854885 0.518817i \(-0.826373\pi\)
0.696039 + 0.718004i \(0.254944\pi\)
\(192\) 1070.38 + 515.470i 0.402335 + 0.193754i
\(193\) −1405.40 + 1762.31i −0.524159 + 0.657275i −0.971486 0.237096i \(-0.923805\pi\)
0.447327 + 0.894370i \(0.352376\pi\)
\(194\) 1795.61 7867.08i 0.664522 2.91146i
\(195\) −57.5984 −0.0211523
\(196\) −6657.46 660.518i −2.42619 0.240714i
\(197\) −979.957 −0.354411 −0.177206 0.984174i \(-0.556706\pi\)
−0.177206 + 0.984174i \(0.556706\pi\)
\(198\) −496.494 + 2175.28i −0.178204 + 0.780761i
\(199\) −2106.20 + 2641.09i −0.750273 + 0.940812i −0.999619 0.0276022i \(-0.991213\pi\)
0.249346 + 0.968414i \(0.419784\pi\)
\(200\) 6694.36 + 3223.84i 2.36682 + 1.13980i
\(201\) −1145.75 + 1436.73i −0.402066 + 0.504175i
\(202\) 4894.54 + 6137.55i 1.70484 + 2.13781i
\(203\) 878.228 631.964i 0.303643 0.218498i
\(204\) −3050.89 + 3825.70i −1.04708 + 1.31300i
\(205\) −74.5777 326.746i −0.0254084 0.111322i
\(206\) −4013.69 5033.01i −1.35751 1.70226i
\(207\) −421.420 + 1846.36i −0.141501 + 0.619957i
\(208\) −3071.24 + 1479.03i −1.02381 + 0.493040i
\(209\) −206.623 + 905.273i −0.0683846 + 0.299613i
\(210\) 259.226 45.8210i 0.0851823 0.0150569i
\(211\) −287.927 1261.49i −0.0939418 0.411586i 0.905990 0.423300i \(-0.139128\pi\)
−0.999931 + 0.0117141i \(0.996271\pi\)
\(212\) −3726.40 4672.76i −1.20722 1.51380i
\(213\) 351.424 169.237i 0.113048 0.0544409i
\(214\) 7641.35 2.44090
\(215\) 491.610 0.155942
\(216\) −5412.96 + 2606.75i −1.70512 + 0.821142i
\(217\) −5829.70 + 1030.46i −1.82371 + 0.322362i
\(218\) −2876.31 1385.16i −0.893615 0.430342i
\(219\) 111.711 + 53.7974i 0.0344692 + 0.0165995i
\(220\) 109.156 + 478.243i 0.0334513 + 0.146560i
\(221\) −596.224 2612.23i −0.181477 0.795101i
\(222\) 2505.43 + 1206.55i 0.757449 + 0.364768i
\(223\) −1685.95 811.912i −0.506277 0.243810i 0.163268 0.986582i \(-0.447796\pi\)
−0.669545 + 0.742772i \(0.733511\pi\)
\(224\) 5389.48 3878.22i 1.60759 1.15681i
\(225\) −2556.34 + 1231.07i −0.757433 + 0.364760i
\(226\) −4077.53 −1.20015
\(227\) 5085.76 1.48702 0.743510 0.668724i \(-0.233159\pi\)
0.743510 + 0.668724i \(0.233159\pi\)
\(228\) −1758.46 + 846.828i −0.510775 + 0.245976i
\(229\) −1753.14 2198.36i −0.505897 0.634375i 0.461651 0.887062i \(-0.347257\pi\)
−0.967548 + 0.252687i \(0.918686\pi\)
\(230\) 130.652 + 572.422i 0.0374561 + 0.164106i
\(231\) −510.400 450.048i −0.145376 0.128186i
\(232\) −784.373 + 3436.56i −0.221968 + 0.972507i
\(233\) 1056.79 508.922i 0.297135 0.143093i −0.279377 0.960182i \(-0.590128\pi\)
0.576512 + 0.817089i \(0.304414\pi\)
\(234\) 571.439 2503.64i 0.159642 0.699435i
\(235\) 118.561 + 148.671i 0.0329110 + 0.0412691i
\(236\) 2442.01 + 10699.2i 0.673565 + 2.95108i
\(237\) 536.449 672.686i 0.147030 0.184370i
\(238\) 4761.44 + 11282.2i 1.29680 + 3.07276i
\(239\) 480.300 + 602.277i 0.129992 + 0.163004i 0.842568 0.538591i \(-0.181043\pi\)
−0.712576 + 0.701595i \(0.752472\pi\)
\(240\) −271.043 + 339.877i −0.0728989 + 0.0914124i
\(241\) 1162.97 + 560.058i 0.310845 + 0.149695i 0.582802 0.812614i \(-0.301956\pi\)
−0.271957 + 0.962310i \(0.587671\pi\)
\(242\) −3237.35 + 4059.51i −0.859937 + 1.07833i
\(243\) 785.963 3443.53i 0.207488 0.909064i
\(244\) 12166.4 3.19211
\(245\) 148.417 442.975i 0.0387020 0.115513i
\(246\) −2567.88 −0.665538
\(247\) 237.812 1041.92i 0.0612616 0.268404i
\(248\) 12025.2 15079.1i 3.07904 3.86099i
\(249\) 1340.91 + 645.749i 0.341272 + 0.164348i
\(250\) −1105.16 + 1385.83i −0.279586 + 0.350590i
\(251\) −2167.45 2717.89i −0.545052 0.683473i 0.430664 0.902512i \(-0.358279\pi\)
−0.975716 + 0.219039i \(0.929708\pi\)
\(252\) −411.368 + 8312.84i −0.102832 + 2.07801i
\(253\) 946.300 1186.62i 0.235152 0.294871i
\(254\) 1234.28 + 5407.72i 0.304903 + 1.33587i
\(255\) −213.046 267.151i −0.0523194 0.0656064i
\(256\) 755.814 3311.44i 0.184525 0.808456i
\(257\) 2948.11 1419.73i 0.715556 0.344594i −0.0404289 0.999182i \(-0.512872\pi\)
0.755985 + 0.654589i \(0.227158\pi\)
\(258\) 838.164 3672.23i 0.202255 0.886137i
\(259\) 4005.78 2882.52i 0.961031 0.691548i
\(260\) −125.633 550.432i −0.0299669 0.131294i
\(261\) −839.247 1052.38i −0.199035 0.249582i
\(262\) −576.733 + 277.740i −0.135995 + 0.0654918i
\(263\) −3494.16 −0.819236 −0.409618 0.912257i \(-0.634338\pi\)
−0.409618 + 0.912257i \(0.634338\pi\)
\(264\) 2216.92 0.516827
\(265\) 376.024 181.084i 0.0871660 0.0419769i
\(266\) −241.414 + 4878.43i −0.0556467 + 1.12450i
\(267\) −586.963 282.667i −0.134538 0.0647900i
\(268\) −16229.1 7815.50i −3.69906 1.78137i
\(269\) 596.227 + 2612.24i 0.135140 + 0.592086i 0.996463 + 0.0840289i \(0.0267788\pi\)
−0.861324 + 0.508057i \(0.830364\pi\)
\(270\) −158.272 693.435i −0.0356746 0.156300i
\(271\) 1273.96 + 613.505i 0.285562 + 0.137519i 0.571182 0.820824i \(-0.306485\pi\)
−0.285620 + 0.958343i \(0.592199\pi\)
\(272\) −18219.9 8774.26i −4.06156 1.95595i
\(273\) 587.443 + 517.982i 0.130233 + 0.114834i
\(274\) −6535.25 + 3147.21i −1.44091 + 0.693904i
\(275\) 2273.86 0.498614
\(276\) 3190.17 0.695746
\(277\) −657.088 + 316.437i −0.142529 + 0.0686384i −0.503789 0.863827i \(-0.668061\pi\)
0.361260 + 0.932465i \(0.382347\pi\)
\(278\) 1908.06 + 2392.63i 0.411647 + 0.516190i
\(279\) 1638.86 + 7180.33i 0.351671 + 1.54077i
\(280\) 591.792 + 1402.25i 0.126308 + 0.299287i
\(281\) 1792.44 7853.19i 0.380527 1.66720i −0.315304 0.948991i \(-0.602107\pi\)
0.695831 0.718206i \(-0.255036\pi\)
\(282\) 1312.69 632.157i 0.277196 0.133491i
\(283\) −14.8037 + 64.8591i −0.00310949 + 0.0136236i −0.976459 0.215704i \(-0.930795\pi\)
0.973349 + 0.229327i \(0.0736526\pi\)
\(284\) 2383.81 + 2989.21i 0.498075 + 0.624566i
\(285\) −30.3276 132.874i −0.00630335 0.0276168i
\(286\) −1283.17 + 1609.04i −0.265298 + 0.332673i
\(287\) −2177.81 + 4003.15i −0.447917 + 0.823339i
\(288\) −5150.27 6458.23i −1.05376 1.32137i
\(289\) 6847.42 8586.39i 1.39373 1.74769i
\(290\) −375.985 181.065i −0.0761330 0.0366637i
\(291\) 1908.92 2393.70i 0.384545 0.482204i
\(292\) −270.446 + 1184.90i −0.0542008 + 0.237469i
\(293\) 5784.42 1.15334 0.576672 0.816976i \(-0.304351\pi\)
0.576672 + 0.816976i \(0.304351\pi\)
\(294\) −3055.90 1863.89i −0.606203 0.369742i
\(295\) −766.342 −0.151248
\(296\) −3577.69 + 15674.9i −0.702531 + 3.07799i
\(297\) −1146.35 + 1437.48i −0.223967 + 0.280846i
\(298\) −2171.95 1045.96i −0.422207 0.203324i
\(299\) −1089.14 + 1365.74i −0.210658 + 0.264157i
\(300\) 2979.94 + 3736.73i 0.573490 + 0.719133i
\(301\) −5013.91 4421.04i −0.960122 0.846594i
\(302\) −480.602 + 602.656i −0.0915747 + 0.114831i
\(303\) 662.780 + 2903.83i 0.125662 + 0.550563i
\(304\) −5029.10 6306.29i −0.948812 1.18977i
\(305\) −189.051 + 828.288i −0.0354920 + 0.155500i
\(306\) 13725.9 6610.06i 2.56424 1.23488i
\(307\) −459.809 + 2014.56i −0.0854811 + 0.374517i −0.999516 0.0311191i \(-0.990093\pi\)
0.914035 + 0.405636i \(0.132950\pi\)
\(308\) 3187.56 5859.21i 0.589702 1.08396i
\(309\) −543.502 2381.24i −0.100061 0.438395i
\(310\) 1423.64 + 1785.19i 0.260831 + 0.327071i
\(311\) −7766.08 + 3739.95i −1.41599 + 0.681907i −0.976336 0.216258i \(-0.930615\pi\)
−0.439658 + 0.898165i \(0.644900\pi\)
\(312\) −2551.56 −0.462993
\(313\) −4123.53 −0.744651 −0.372326 0.928102i \(-0.621440\pi\)
−0.372326 + 0.928102i \(0.621440\pi\)
\(314\) −15688.4 + 7555.12i −2.81957 + 1.35784i
\(315\) −559.544 157.177i −0.100085 0.0281141i
\(316\) 7598.54 + 3659.26i 1.35269 + 0.651423i
\(317\) 8374.27 + 4032.84i 1.48374 + 0.714532i 0.988074 0.153980i \(-0.0492091\pi\)
0.495668 + 0.868512i \(0.334923\pi\)
\(318\) −711.565 3117.57i −0.125480 0.549763i
\(319\) 240.042 + 1051.69i 0.0421309 + 0.184588i
\(320\) −732.667 352.834i −0.127992 0.0616376i
\(321\) 2612.14 + 1257.94i 0.454191 + 0.218727i
\(322\) 3815.28 7013.06i 0.660302 1.21373i
\(323\) 5712.23 2750.86i 0.984015 0.473877i
\(324\) 8269.21 1.41790
\(325\) −2617.09 −0.446677
\(326\) −7798.96 + 3755.78i −1.32498 + 0.638078i
\(327\) −755.216 947.011i −0.127717 0.160152i
\(328\) −3303.73 14474.6i −0.556153 2.43667i
\(329\) 127.798 2582.51i 0.0214156 0.432762i
\(330\) −58.4023 + 255.877i −0.00974224 + 0.0426836i
\(331\) 866.688 417.375i 0.143920 0.0693081i −0.360538 0.932745i \(-0.617407\pi\)
0.504458 + 0.863437i \(0.331693\pi\)
\(332\) −3246.25 + 14222.8i −0.536630 + 2.35113i
\(333\) −3827.98 4800.14i −0.629946 0.789928i
\(334\) −1998.97 8758.07i −0.327482 1.43479i
\(335\) 784.257 983.427i 0.127906 0.160389i
\(336\) 5820.87 1028.90i 0.945102 0.167057i
\(337\) −2652.29 3325.87i −0.428723 0.537601i 0.519809 0.854282i \(-0.326003\pi\)
−0.948532 + 0.316681i \(0.897432\pi\)
\(338\) −5707.10 + 7156.47i −0.918418 + 1.15166i
\(339\) −1393.87 671.253i −0.223318 0.107544i
\(340\) 2088.30 2618.65i 0.333101 0.417695i
\(341\) 1313.40 5754.40i 0.208577 0.913836i
\(342\) 6076.54 0.960764
\(343\) −5497.37 + 3183.17i −0.865393 + 0.501093i
\(344\) 21777.9 3.41333
\(345\) −49.5714 + 217.186i −0.00773575 + 0.0338925i
\(346\) 2571.85 3224.99i 0.399605 0.501089i
\(347\) −5280.24 2542.83i −0.816882 0.393390i −0.0217032 0.999764i \(-0.506909\pi\)
−0.795179 + 0.606375i \(0.792623\pi\)
\(348\) −1413.71 + 1772.73i −0.217767 + 0.273071i
\(349\) 507.422 + 636.288i 0.0778272 + 0.0975922i 0.819221 0.573478i \(-0.194406\pi\)
−0.741394 + 0.671070i \(0.765835\pi\)
\(350\) 11778.4 2081.97i 1.79881 0.317959i
\(351\) 1319.39 1654.47i 0.200638 0.251592i
\(352\) 1473.08 + 6453.99i 0.223055 + 0.977270i
\(353\) 6102.06 + 7651.74i 0.920057 + 1.15371i 0.987756 + 0.156009i \(0.0498628\pi\)
−0.0676991 + 0.997706i \(0.521566\pi\)
\(354\) −1306.56 + 5724.43i −0.196167 + 0.859464i
\(355\) −240.546 + 115.841i −0.0359630 + 0.0173189i
\(356\) 1421.00 6225.80i 0.211553 0.926872i
\(357\) −229.643 + 4640.58i −0.0340448 + 0.687970i
\(358\) −584.750 2561.96i −0.0863268 0.378223i
\(359\) 4359.74 + 5466.94i 0.640942 + 0.803716i 0.991120 0.132967i \(-0.0424505\pi\)
−0.350178 + 0.936683i \(0.613879\pi\)
\(360\) 1705.97 821.553i 0.249757 0.120277i
\(361\) −4330.17 −0.631312
\(362\) −6880.66 −0.999004
\(363\) −1774.95 + 854.771i −0.256641 + 0.123592i
\(364\) −3668.71 + 6743.65i −0.528277 + 0.971053i
\(365\) −76.4653 36.8238i −0.0109654 0.00528067i
\(366\) 5864.84 + 2824.36i 0.837596 + 0.403365i
\(367\) −206.082 902.904i −0.0293117 0.128423i 0.958155 0.286249i \(-0.0924085\pi\)
−0.987467 + 0.157826i \(0.949551\pi\)
\(368\) 2933.76 + 12853.6i 0.415578 + 1.82077i
\(369\) 5108.02 + 2459.89i 0.720631 + 0.347038i
\(370\) −1714.94 825.873i −0.240961 0.116041i
\(371\) −5463.54 1534.72i −0.764563 0.214767i
\(372\) 11177.7 5382.89i 1.55789 0.750241i
\(373\) −8784.82 −1.21947 −0.609733 0.792607i \(-0.708723\pi\)
−0.609733 + 0.792607i \(0.708723\pi\)
\(374\) −12209.2 −1.68803
\(375\) −605.930 + 291.801i −0.0834403 + 0.0401827i
\(376\) 5252.18 + 6586.02i 0.720373 + 0.903320i
\(377\) −276.275 1210.44i −0.0377425 0.165361i
\(378\) −4621.85 + 8495.66i −0.628895 + 1.15600i
\(379\) −922.786 + 4042.99i −0.125067 + 0.547954i 0.873106 + 0.487530i \(0.162102\pi\)
−0.998173 + 0.0604232i \(0.980755\pi\)
\(380\) 1203.65 579.645i 0.162489 0.0782504i
\(381\) −468.305 + 2051.78i −0.0629711 + 0.275895i
\(382\) −2199.03 2757.50i −0.294534 0.369335i
\(383\) 1402.26 + 6143.72i 0.187082 + 0.819659i 0.978145 + 0.207924i \(0.0666708\pi\)
−0.791063 + 0.611734i \(0.790472\pi\)
\(384\) −326.407 + 409.301i −0.0433773 + 0.0543934i
\(385\) 349.363 + 308.053i 0.0462473 + 0.0407788i
\(386\) −7370.61 9242.45i −0.971902 1.21873i
\(387\) −5185.07 + 6501.87i −0.681064 + 0.854027i
\(388\) 27038.9 + 13021.2i 3.53786 + 1.70374i
\(389\) −766.441 + 961.087i −0.0998975 + 0.125267i −0.829267 0.558852i \(-0.811242\pi\)
0.729370 + 0.684120i \(0.239813\pi\)
\(390\) 67.2180 294.501i 0.00872747 0.0382376i
\(391\) −10363.1 −1.34037
\(392\) 6574.74 19623.4i 0.847129 2.52840i
\(393\) −242.874 −0.0311740
\(394\) 1143.62 5010.53i 0.146230 0.640677i
\(395\) −367.194 + 460.447i −0.0467735 + 0.0586521i
\(396\) −7476.36 3600.43i −0.948741 0.456889i
\(397\) 3543.64 4443.58i 0.447985 0.561755i −0.505643 0.862743i \(-0.668745\pi\)
0.953628 + 0.300987i \(0.0973162\pi\)
\(398\) −11045.9 13851.2i −1.39116 1.74446i
\(399\) −885.625 + 1627.91i −0.111120 + 0.204255i
\(400\) −12315.4 + 15443.0i −1.53942 + 1.93037i
\(401\) −1700.14 7448.79i −0.211723 0.927619i −0.963396 0.268083i \(-0.913610\pi\)
0.751673 0.659536i \(-0.229247\pi\)
\(402\) −6008.91 7534.94i −0.745516 0.934847i
\(403\) −1511.66 + 6623.01i −0.186851 + 0.818649i
\(404\) −26304.4 + 12667.6i −3.23934 + 1.55999i
\(405\) −128.493 + 562.966i −0.0157652 + 0.0690717i
\(406\) 2206.34 + 5227.90i 0.269701 + 0.639055i
\(407\) 1094.88 + 4796.98i 0.133344 + 0.584220i
\(408\) −9437.76 11834.6i −1.14519 1.43603i
\(409\) 7942.12 3824.72i 0.960178 0.462397i 0.112934 0.993602i \(-0.463975\pi\)
0.847243 + 0.531205i \(0.178261\pi\)
\(410\) 1757.69 0.211722
\(411\) −2752.13 −0.330298
\(412\) 21570.6 10387.8i 2.57938 1.24216i
\(413\) 7815.89 + 6891.71i 0.931222 + 0.821111i
\(414\) −8948.67 4309.45i −1.06233 0.511589i
\(415\) −917.839 442.008i −0.108566 0.0522827i
\(416\) −1695.44 7428.21i −0.199822 0.875476i
\(417\) 258.375 + 1132.01i 0.0303421 + 0.132938i
\(418\) −4387.54 2112.93i −0.513401 0.247241i
\(419\) 12427.6 + 5984.81i 1.44899 + 0.697797i 0.982420 0.186686i \(-0.0597748\pi\)
0.466571 + 0.884484i \(0.345489\pi\)
\(420\) −48.3890 + 977.834i −0.00562176 + 0.113603i
\(421\) 672.092 323.663i 0.0778047 0.0374688i −0.394577 0.918863i \(-0.629109\pi\)
0.472381 + 0.881394i \(0.343394\pi\)
\(422\) 6786.03 0.782793
\(423\) −3216.76 −0.369750
\(424\) 16657.6 8021.87i 1.90793 0.918813i
\(425\) −9680.14 12138.5i −1.10484 1.38542i
\(426\) 455.194 + 1994.34i 0.0517705 + 0.226821i
\(427\) 9376.92 6747.53i 1.06272 0.764722i
\(428\) −6323.80 + 27706.4i −0.714188 + 3.12906i
\(429\) −703.526 + 338.800i −0.0791761 + 0.0381292i
\(430\) −573.714 + 2513.61i −0.0643418 + 0.281900i
\(431\) 4889.32 + 6131.01i 0.546427 + 0.685198i 0.975984 0.217842i \(-0.0699016\pi\)
−0.429557 + 0.903040i \(0.641330\pi\)
\(432\) −3553.97 15571.0i −0.395811 1.73416i
\(433\) 5178.32 6493.41i 0.574721 0.720677i −0.406481 0.913659i \(-0.633244\pi\)
0.981202 + 0.192982i \(0.0618158\pi\)
\(434\) 1534.55 31009.9i 0.169726 3.42978i
\(435\) −98.7201 123.791i −0.0108811 0.0136444i
\(436\) 7402.73 9282.73i 0.813135 1.01964i
\(437\) −3724.11 1793.44i −0.407662 0.196320i
\(438\) −405.435 + 508.400i −0.0442293 + 0.0554618i
\(439\) −2244.50 + 9833.81i −0.244019 + 1.06912i 0.693301 + 0.720648i \(0.256156\pi\)
−0.937320 + 0.348469i \(0.886702\pi\)
\(440\) −1517.46 −0.164414
\(441\) 4293.27 + 6635.02i 0.463586 + 0.716447i
\(442\) 14052.1 1.51220
\(443\) 2818.18 12347.3i 0.302248 1.32424i −0.564477 0.825449i \(-0.690922\pi\)
0.866725 0.498787i \(-0.166221\pi\)
\(444\) −6448.22 + 8085.81i −0.689232 + 0.864270i
\(445\) 401.770 + 193.482i 0.0427994 + 0.0206111i
\(446\) 6118.84 7672.78i 0.649631 0.814611i
\(447\) −570.277 715.104i −0.0603426 0.0756673i
\(448\) 4299.41 + 10187.4i 0.453410 + 1.07435i
\(449\) −5748.77 + 7208.72i −0.604234 + 0.757685i −0.986031 0.166561i \(-0.946734\pi\)
0.381797 + 0.924246i \(0.375305\pi\)
\(450\) −3311.18 14507.2i −0.346868 1.51973i
\(451\) −2832.87 3552.31i −0.295776 0.370891i
\(452\) 3374.47 14784.5i 0.351154 1.53851i
\(453\) −263.501 + 126.895i −0.0273297 + 0.0131613i
\(454\) −5935.14 + 26003.5i −0.613546 + 2.68812i
\(455\) −402.099 354.553i −0.0414301 0.0365312i
\(456\) −1343.49 5886.22i −0.137971 0.604490i
\(457\) 9386.38 + 11770.1i 0.960780 + 1.20478i 0.978774 + 0.204942i \(0.0657005\pi\)
−0.0179944 + 0.999838i \(0.505728\pi\)
\(458\) 13286.2 6398.29i 1.35551 0.652778i
\(459\) 12553.9 1.27661
\(460\) −2183.64 −0.221332
\(461\) −1886.08 + 908.289i −0.190550 + 0.0917641i −0.526726 0.850035i \(-0.676581\pi\)
0.336176 + 0.941799i \(0.390866\pi\)
\(462\) 2896.74 2084.47i 0.291707 0.209910i
\(463\) −6677.67 3215.79i −0.670275 0.322788i 0.0676119 0.997712i \(-0.478462\pi\)
−0.737887 + 0.674924i \(0.764176\pi\)
\(464\) −8442.67 4065.77i −0.844700 0.406786i
\(465\) 192.779 + 844.618i 0.0192256 + 0.0842327i
\(466\) 1368.84 + 5997.28i 0.136074 + 0.596178i
\(467\) 8334.47 + 4013.67i 0.825853 + 0.397710i 0.798558 0.601918i \(-0.205596\pi\)
0.0272948 + 0.999627i \(0.491311\pi\)
\(468\) 8604.90 + 4143.90i 0.849918 + 0.409299i
\(469\) −16842.6 + 2977.11i −1.65825 + 0.293113i
\(470\) −898.521 + 432.705i −0.0881823 + 0.0424663i
\(471\) −6606.70 −0.646328
\(472\) −33948.3 −3.31059
\(473\) 6004.69 2891.70i 0.583712 0.281101i
\(474\) 2813.41 + 3527.90i 0.272625 + 0.341861i
\(475\) −1377.99 6037.38i −0.133109 0.583188i
\(476\) −44848.0 + 7927.39i −4.31850 + 0.763343i
\(477\) −1571.02 + 6883.09i −0.150801 + 0.660702i
\(478\) −3639.96 + 1752.91i −0.348301 + 0.167733i
\(479\) 1814.61 7950.32i 0.173093 0.758370i −0.811620 0.584186i \(-0.801414\pi\)
0.984713 0.174184i \(-0.0557289\pi\)
\(480\) −605.823 759.678i −0.0576081 0.0722383i
\(481\) −1260.15 5521.08i −0.119455 0.523367i
\(482\) −4220.79 + 5292.70i −0.398862 + 0.500157i
\(483\) 2458.73 1769.28i 0.231628 0.166677i
\(484\) −12040.0 15097.7i −1.13073 1.41789i
\(485\) −1306.63 + 1638.47i −0.122332 + 0.153400i
\(486\) 16689.6 + 8037.28i 1.55773 + 0.750161i
\(487\) 8074.11 10124.6i 0.751279 0.942075i −0.248367 0.968666i \(-0.579894\pi\)
0.999646 + 0.0265915i \(0.00846532\pi\)
\(488\) −8374.83 + 36692.5i −0.776866 + 3.40367i
\(489\) −3284.30 −0.303725
\(490\) 2091.73 + 1275.81i 0.192847 + 0.117623i
\(491\) 1928.10 0.177218 0.0886091 0.996066i \(-0.471758\pi\)
0.0886091 + 0.996066i \(0.471758\pi\)
\(492\) 2125.12 9310.76i 0.194731 0.853174i
\(493\) 4592.34 5758.61i 0.419530 0.526075i
\(494\) 5049.83 + 2431.87i 0.459924 + 0.221488i
\(495\) 361.290 453.043i 0.0328056 0.0411369i
\(496\) 31967.6 + 40086.2i 2.89393 + 3.62887i
\(497\) 3495.08 + 981.774i 0.315444 + 0.0886088i
\(498\) −4866.58 + 6102.50i −0.437905 + 0.549115i
\(499\) 460.288 + 2016.65i 0.0412932 + 0.180917i 0.991369 0.131102i \(-0.0418516\pi\)
−0.950076 + 0.312020i \(0.898995\pi\)
\(500\) −4110.20 5154.03i −0.367628 0.460991i
\(501\) 758.443 3322.95i 0.0676342 0.296325i
\(502\) 16426.0 7910.37i 1.46042 0.703301i
\(503\) −923.902 + 4047.88i −0.0818981 + 0.358819i −0.999227 0.0393111i \(-0.987484\pi\)
0.917329 + 0.398130i \(0.130341\pi\)
\(504\) −24787.4 6962.82i −2.19071 0.615375i
\(505\) −453.666 1987.64i −0.0399760 0.175146i
\(506\) 4962.87 + 6223.25i 0.436021 + 0.546753i
\(507\) −3129.05 + 1506.87i −0.274094 + 0.131997i
\(508\) −20629.1 −1.80170
\(509\) 9669.43 0.842024 0.421012 0.907055i \(-0.361675\pi\)
0.421012 + 0.907055i \(0.361675\pi\)
\(510\) 1614.57 777.537i 0.140185 0.0675096i
\(511\) 448.711 + 1063.22i 0.0388450 + 0.0920429i
\(512\) 17945.7 + 8642.19i 1.54901 + 0.745965i
\(513\) 4511.40 + 2172.58i 0.388272 + 0.186982i
\(514\) 3818.64 + 16730.6i 0.327691 + 1.43571i
\(515\) 372.022 + 1629.93i 0.0318315 + 0.139463i
\(516\) 12621.3 + 6078.11i 1.07679 + 0.518554i
\(517\) 2322.65 + 1118.53i 0.197582 + 0.0951506i
\(518\) 10063.6 + 23845.5i 0.853605 + 2.02261i
\(519\) 1410.07 679.055i 0.119259 0.0574320i
\(520\) 1746.52 0.147288
\(521\) 3992.34 0.335715 0.167857 0.985811i \(-0.446315\pi\)
0.167857 + 0.985811i \(0.446315\pi\)
\(522\) 6360.26 3062.94i 0.533297 0.256822i
\(523\) 9190.93 + 11525.1i 0.768434 + 0.963586i 0.999957 0.00924324i \(-0.00294226\pi\)
−0.231523 + 0.972829i \(0.574371\pi\)
\(524\) −529.753 2321.00i −0.0441648 0.193499i
\(525\) 4369.10 + 1227.29i 0.363206 + 0.102025i
\(526\) 4077.72 17865.7i 0.338018 1.48095i
\(527\) −36310.0 + 17486.0i −3.00130 + 1.44535i
\(528\) −1311.41 + 5745.68i −0.108091 + 0.473577i
\(529\) −3373.56 4230.30i −0.277271 0.347687i
\(530\) 487.059 + 2133.94i 0.0399179 + 0.174892i
\(531\) 8082.70 10135.4i 0.660564 0.828321i
\(532\) −17488.7 4912.60i −1.42524 0.400354i
\(533\) 3260.49 + 4088.52i 0.264967 + 0.332258i
\(534\) 2130.27 2671.28i 0.172633 0.216475i
\(535\) −1787.98 861.047i −0.144488 0.0695819i
\(536\) 34742.0 43565.1i 2.79967 3.51068i
\(537\) 221.864 972.049i 0.0178289 0.0781136i
\(538\) −14052.2 −1.12609
\(539\) −792.817 6283.65i −0.0633563 0.502144i
\(540\) 2645.27 0.210805
\(541\) 3950.01 17306.1i 0.313908 1.37532i −0.534137 0.845398i \(-0.679363\pi\)
0.848045 0.529924i \(-0.177780\pi\)
\(542\) −4623.58 + 5797.78i −0.366420 + 0.459476i
\(543\) −2352.10 1132.71i −0.185890 0.0895200i
\(544\) 28182.1 35339.3i 2.22114 2.78522i
\(545\) 516.937 + 648.219i 0.0406297 + 0.0509480i
\(546\) −3334.00 + 2399.11i −0.261322 + 0.188045i
\(547\) 7490.29 9392.53i 0.585488 0.734178i −0.397550 0.917580i \(-0.630140\pi\)
0.983038 + 0.183402i \(0.0587110\pi\)
\(548\) −6002.89 26300.4i −0.467939 2.05018i
\(549\) −8960.72 11236.4i −0.696601 0.873511i
\(550\) −2653.62 + 11626.3i −0.205729 + 0.901356i
\(551\) 2646.91 1274.68i 0.204650 0.0985541i
\(552\) −2195.97 + 9621.19i −0.169324 + 0.741857i
\(553\) 7885.79 1393.90i 0.606398 0.107188i
\(554\) −851.116 3728.98i −0.0652716 0.285973i
\(555\) −450.283 564.637i −0.0344387 0.0431847i
\(556\) −10254.4 + 4938.26i −0.782164 + 0.376671i
\(557\) −18320.4 −1.39365 −0.696824 0.717242i \(-0.745404\pi\)
−0.696824 + 0.717242i \(0.745404\pi\)
\(558\) −38625.7 −2.93039
\(559\) −6911.08 + 3328.20i −0.522911 + 0.251821i
\(560\) −3984.32 + 704.273i −0.300658 + 0.0531446i
\(561\) −4173.62 2009.91i −0.314101 0.151263i
\(562\) 38061.7 + 18329.5i 2.85682 + 1.37577i
\(563\) −3666.36 16063.4i −0.274456 1.20247i −0.904692 0.426067i \(-0.859899\pi\)
0.630236 0.776404i \(-0.282958\pi\)
\(564\) 1205.76 + 5282.76i 0.0900204 + 0.394405i
\(565\) 954.091 + 459.466i 0.0710423 + 0.0342122i
\(566\) −314.349 151.383i −0.0233447 0.0112422i
\(567\) 6373.25 4586.13i 0.472048 0.339681i
\(568\) −10656.0 + 5131.66i −0.787176 + 0.379084i
\(569\) −9794.41 −0.721622 −0.360811 0.932639i \(-0.617500\pi\)
−0.360811 + 0.932639i \(0.617500\pi\)
\(570\) 714.779 0.0525242
\(571\) 12305.9 5926.21i 0.901903 0.434333i 0.0753269 0.997159i \(-0.476000\pi\)
0.826576 + 0.562825i \(0.190286\pi\)
\(572\) −4772.22 5984.18i −0.348840 0.437432i
\(573\) −297.775 1304.64i −0.0217099 0.0951171i
\(574\) −17926.6 15806.9i −1.30356 1.14942i
\(575\) −2252.37 + 9868.28i −0.163357 + 0.715714i
\(576\) 12394.0 5968.63i 0.896557 0.431759i
\(577\) −377.359 + 1653.32i −0.0272264 + 0.119287i −0.986715 0.162461i \(-0.948057\pi\)
0.959489 + 0.281748i \(0.0909141\pi\)
\(578\) 35911.3 + 45031.3i 2.58428 + 3.24058i
\(579\) −998.070 4372.83i −0.0716380 0.313866i
\(580\) 967.669 1213.42i 0.0692763 0.0868698i
\(581\) 5386.02 + 12762.1i 0.384595 + 0.911296i
\(582\) 10011.3 + 12553.8i 0.713028 + 0.894109i
\(583\) 3527.73 4423.64i 0.250607 0.314251i
\(584\) −3387.35 1631.26i −0.240017 0.115586i
\(585\) −415.825 + 521.429i −0.0293885 + 0.0368520i
\(586\) −6750.49 + 29575.8i −0.475870 + 2.08492i
\(587\) −11850.5 −0.833260 −0.416630 0.909076i \(-0.636789\pi\)
−0.416630 + 0.909076i \(0.636789\pi\)
\(588\) 9287.17 9537.72i 0.651355 0.668927i
\(589\) −16074.6 −1.12452
\(590\) 894.330 3918.31i 0.0624050 0.273414i
\(591\) 1215.78 1524.55i 0.0846205 0.106111i
\(592\) −38508.8 18544.8i −2.67348 1.28748i
\(593\) −1687.20 + 2115.68i −0.116838 + 0.146510i −0.836811 0.547492i \(-0.815583\pi\)
0.719973 + 0.694002i \(0.244154\pi\)
\(594\) −6012.05 7538.88i −0.415282 0.520747i
\(595\) 157.188 3176.43i 0.0108304 0.218859i
\(596\) 5589.93 7009.55i 0.384182 0.481749i
\(597\) −1495.76 6553.33i −0.102541 0.449263i
\(598\) −5712.01 7162.63i −0.390604 0.489802i
\(599\) 4331.12 18975.9i 0.295434 1.29438i −0.581413 0.813609i \(-0.697500\pi\)
0.876846 0.480771i \(-0.159643\pi\)
\(600\) −13320.8 + 6414.95i −0.906364 + 0.436482i
\(601\) −4307.26 + 18871.4i −0.292341 + 1.28083i 0.588917 + 0.808194i \(0.299555\pi\)
−0.881258 + 0.472636i \(0.843303\pi\)
\(602\) 28456.1 20476.7i 1.92655 1.38633i
\(603\) 4734.83 + 20744.7i 0.319763 + 1.40097i
\(604\) −1787.41 2241.34i −0.120411 0.150991i
\(605\) 1214.93 585.082i 0.0816432 0.0393173i
\(606\) −15620.8 −1.04711
\(607\) −16016.8 −1.07101 −0.535504 0.844532i \(-0.679878\pi\)
−0.535504 + 0.844532i \(0.679878\pi\)
\(608\) 16243.5 7822.44i 1.08349 0.521779i
\(609\) −106.411 + 2150.33i −0.00708045 + 0.143080i
\(610\) −4014.42 1933.24i −0.266458 0.128319i
\(611\) −2673.25 1287.37i −0.177002 0.0852395i
\(612\) 12607.8 + 55238.5i 0.832747 + 3.64850i
\(613\) 6264.79 + 27447.9i 0.412778 + 1.80850i 0.570833 + 0.821066i \(0.306620\pi\)
−0.158055 + 0.987430i \(0.550522\pi\)
\(614\) −9763.84 4702.02i −0.641753 0.309052i
\(615\) 600.853 + 289.356i 0.0393963 + 0.0189723i
\(616\) 15476.5 + 13646.5i 1.01228 + 0.892588i
\(617\) −20587.5 + 9914.43i −1.34331 + 0.646904i −0.960850 0.277067i \(-0.910637\pi\)
−0.382460 + 0.923972i \(0.624923\pi\)
\(618\) 12809.6 0.833781
\(619\) 5432.81 0.352768 0.176384 0.984321i \(-0.443560\pi\)
0.176384 + 0.984321i \(0.443560\pi\)
\(620\) −7651.01 + 3684.53i −0.495600 + 0.238668i
\(621\) −5102.98 6398.93i −0.329751 0.413495i
\(622\) −10059.3 44072.6i −0.648458 2.84108i
\(623\) −2357.65 5586.44i −0.151617 0.359255i
\(624\) 1509.37 6612.97i 0.0968318 0.424248i
\(625\) −13454.0 + 6479.09i −0.861053 + 0.414661i
\(626\) 4812.21 21083.7i 0.307244 1.34612i
\(627\) −1152.01 1444.58i −0.0733763 0.0920109i
\(628\) −14410.4 63136.1i −0.915666 4.01179i
\(629\) 20946.6 26266.2i 1.32782 1.66503i
\(630\) 1456.64 2677.53i 0.0921175 0.169326i
\(631\) 13130.0 + 16464.5i 0.828364 + 1.03874i 0.998577 + 0.0533278i \(0.0169828\pi\)
−0.170214 + 0.985407i \(0.554446\pi\)
\(632\) −16266.4 + 20397.4i −1.02380 + 1.28381i
\(633\) 2319.75 + 1117.13i 0.145659 + 0.0701455i
\(634\) −30392.8 + 38111.4i −1.90387 + 2.38738i
\(635\) 320.550 1404.42i 0.0200325 0.0877681i
\(636\) 11892.7 0.741473
\(637\) 912.491 + 7232.15i 0.0567570 + 0.449840i
\(638\) −5657.44 −0.351066
\(639\) 1005.00 4403.17i 0.0622175 0.272593i
\(640\) 223.422 280.163i 0.0137993 0.0173037i
\(641\) −2238.36 1077.94i −0.137925 0.0664210i 0.363649 0.931536i \(-0.381531\pi\)
−0.501573 + 0.865115i \(0.667245\pi\)
\(642\) −9480.26 + 11887.9i −0.582797 + 0.730805i
\(643\) −17344.2 21749.0i −1.06375 1.33390i −0.939844 0.341603i \(-0.889030\pi\)
−0.123903 0.992294i \(-0.539541\pi\)
\(644\) 22270.9 + 19637.5i 1.36272 + 1.20159i
\(645\) −609.916 + 764.811i −0.0372332 + 0.0466890i
\(646\) 7398.96 + 32417.0i 0.450632 + 1.97435i
\(647\) −4547.40 5702.26i −0.276316 0.346490i 0.624237 0.781235i \(-0.285410\pi\)
−0.900554 + 0.434745i \(0.856838\pi\)
\(648\) −5692.16 + 24939.0i −0.345076 + 1.51188i
\(649\) −9360.36 + 4507.71i −0.566142 + 0.272640i
\(650\) 3054.18 13381.2i 0.184299 0.807469i
\(651\) 5629.51 10347.9i 0.338921 0.622988i
\(652\) −7163.66 31386.1i −0.430292 1.88523i
\(653\) −8407.89 10543.2i −0.503868 0.631831i 0.463229 0.886239i \(-0.346691\pi\)
−0.967097 + 0.254408i \(0.918119\pi\)
\(654\) 5723.42 2756.25i 0.342207 0.164798i
\(655\) 166.245 0.00991714
\(656\) 39468.6 2.34907
\(657\) 1293.51 622.921i 0.0768106 0.0369900i
\(658\) 13055.3 + 3667.26i 0.773477 + 0.217271i
\(659\) 22337.9 + 10757.4i 1.32043 + 0.635884i 0.955456 0.295135i \(-0.0953645\pi\)
0.364971 + 0.931019i \(0.381079\pi\)
\(660\) −879.440 423.516i −0.0518669 0.0249778i
\(661\) 1844.56 + 8081.52i 0.108540 + 0.475544i 0.999759 + 0.0219706i \(0.00699401\pi\)
−0.891219 + 0.453574i \(0.850149\pi\)
\(662\) 1122.61 + 4918.47i 0.0659084 + 0.288764i
\(663\) 4803.62 + 2313.30i 0.281383 + 0.135507i
\(664\) −40659.6 19580.6i −2.37635 1.14439i
\(665\) 606.201 1114.29i 0.0353496 0.0649779i
\(666\) 29010.5 13970.7i 1.68789 0.812843i
\(667\) −4801.99 −0.278761
\(668\) 33409.7 1.93512
\(669\) 3354.79 1615.58i 0.193877 0.0933663i
\(670\) 4113.04 + 5157.59i 0.237165 + 0.297395i
\(671\) 2562.95 + 11229.0i 0.147454 + 0.646037i
\(672\) −653.020 + 13196.1i −0.0374863 + 0.757515i
\(673\) 3498.82 15329.3i 0.200400 0.878011i −0.770293 0.637690i \(-0.779890\pi\)
0.970693 0.240321i \(-0.0772528\pi\)
\(674\) 20100.5 9679.87i 1.14873 0.553197i
\(675\) 2728.53 11954.5i 0.155587 0.681672i
\(676\) −21225.2 26615.6i −1.20763 1.51432i
\(677\) 7467.19 + 32715.9i 0.423911 + 1.85727i 0.508802 + 0.860883i \(0.330088\pi\)
−0.0848916 + 0.996390i \(0.527054\pi\)
\(678\) 5058.79 6343.52i 0.286551 0.359324i
\(679\) 28061.0 4960.09i 1.58598 0.280340i
\(680\) 6460.05 + 8100.64i 0.364311 + 0.456832i
\(681\) −6309.65 + 7912.06i −0.355046 + 0.445214i
\(682\) 27889.5 + 13430.9i 1.56590 + 0.754099i
\(683\) 18504.6 23204.0i 1.03669 1.29996i 0.0838514 0.996478i \(-0.473278\pi\)
0.952836 0.303486i \(-0.0981507\pi\)
\(684\) −5028.80 + 22032.6i −0.281112 + 1.23163i
\(685\) 1883.80 0.105075
\(686\) −9860.09 31822.9i −0.548776 1.77114i
\(687\) 5595.08 0.310722
\(688\) −12882.7 + 56442.6i −0.713876 + 3.12769i
\(689\) −4060.23 + 5091.37i −0.224503 + 0.281518i
\(690\) −1052.63 506.918i −0.0580765 0.0279682i
\(691\) 1440.43 1806.25i 0.0793005 0.0994397i −0.740599 0.671948i \(-0.765458\pi\)
0.819899 + 0.572508i \(0.194029\pi\)
\(692\) 9564.94 + 11994.1i 0.525440 + 0.658881i
\(693\) −7758.99 + 1371.49i −0.425310 + 0.0751782i
\(694\) 19163.6 24030.4i 1.04819 1.31438i
\(695\) −176.855 774.852i −0.00965250 0.0422904i
\(696\) −4373.22 5483.85i −0.238170 0.298656i
\(697\) −6903.31 + 30245.4i −0.375153 + 1.64365i
\(698\) −3845.51 + 1851.90i −0.208531 + 0.100423i
\(699\) −519.361 + 2275.47i −0.0281030 + 0.123127i
\(700\) −2198.65 + 44429.7i −0.118716 + 2.39898i
\(701\) −164.619 721.242i −0.00886956 0.0388601i 0.970299 0.241907i \(-0.0777728\pi\)
−0.979169 + 0.203047i \(0.934916\pi\)
\(702\) 6919.56 + 8676.85i 0.372025 + 0.466505i
\(703\) 12073.1 5814.09i 0.647717 0.311924i
\(704\) −11024.5 −0.590198
\(705\) −378.385 −0.0202139
\(706\) −46244.6 + 22270.2i −2.46521 + 1.18718i
\(707\) −13247.9 + 24351.7i −0.704723 + 1.29539i
\(708\) −19674.7 9474.81i −1.04438 0.502945i
\(709\) 3828.42 + 1843.67i 0.202791 + 0.0976592i 0.532523 0.846415i \(-0.321244\pi\)
−0.329732 + 0.944075i \(0.606958\pi\)
\(710\) −311.576 1365.10i −0.0164693 0.0721569i
\(711\) −2216.88 9712.77i −0.116933 0.512317i
\(712\) 17798.1 + 8571.12i 0.936815 + 0.451147i
\(713\) 23672.4 + 11400.0i 1.24339 + 0.598786i
\(714\) −23459.3 6589.78i −1.22961 0.345401i
\(715\) 481.556 231.905i 0.0251877 0.0121297i
\(716\) 9773.20 0.510114
\(717\) −1532.86 −0.0798407
\(718\) −33040.4 + 15911.4i −1.71735 + 0.827031i
\(719\) −19293.8 24193.7i −1.00075 1.25490i −0.966815 0.255477i \(-0.917768\pi\)
−0.0339346 0.999424i \(-0.510804\pi\)
\(720\) 1120.09 + 4907.41i 0.0579765 + 0.254012i
\(721\) 10863.8 19969.2i 0.561148 1.03147i
\(722\) 5053.36 22140.2i 0.260480 1.14124i
\(723\) −2314.14 + 1114.43i −0.119037 + 0.0573253i
\(724\) 5694.27 24948.2i 0.292301 1.28065i
\(725\) −4485.54 5624.69i −0.229777 0.288132i
\(726\) −2299.07 10072.9i −0.117529 0.514930i
\(727\) −6264.69 + 7855.68i −0.319594 + 0.400758i −0.915514 0.402286i \(-0.868216\pi\)
0.595921 + 0.803043i \(0.296787\pi\)
\(728\) −17812.7 15706.4i −0.906842 0.799614i
\(729\) −2754.91 3454.55i −0.139964 0.175510i
\(730\) 277.516 347.994i 0.0140703 0.0176436i
\(731\) −40999.5 19744.3i −2.07445 0.999002i
\(732\) −15094.3 + 18927.7i −0.762160 + 0.955719i
\(733\) 3657.03 16022.5i 0.184278 0.807374i −0.795285 0.606236i \(-0.792679\pi\)
0.979563 0.201138i \(-0.0644640\pi\)
\(734\) 4857.06 0.244247
\(735\) 505.015 + 780.473i 0.0253439 + 0.0391676i
\(736\) −29468.7 −1.47586
\(737\) 3794.55 16625.0i 0.189653 0.830922i
\(738\) −18538.6 + 23246.6i −0.924681 + 1.15951i
\(739\) 7184.07 + 3459.67i 0.357605 + 0.172214i 0.604056 0.796942i \(-0.293550\pi\)
−0.246451 + 0.969155i \(0.579264\pi\)
\(740\) 4413.74 5534.65i 0.219260 0.274943i
\(741\) 1325.90 + 1662.63i 0.0657332 + 0.0824269i
\(742\) 14223.1 26144.1i 0.703699 1.29351i
\(743\) −18397.7 + 23070.0i −0.908407 + 1.13911i 0.0813982 + 0.996682i \(0.474061\pi\)
−0.989806 + 0.142425i \(0.954510\pi\)
\(744\) 8539.94 + 37415.9i 0.420819 + 1.84373i
\(745\) 390.348 + 489.481i 0.0191963 + 0.0240714i
\(746\) 10252.0 44916.9i 0.503152 2.20445i
\(747\) 15526.4 7477.13i 0.760485 0.366230i
\(748\) 10104.0 44268.7i 0.493904 2.16394i
\(749\) 10492.2 + 24861.1i 0.511849 + 1.21282i
\(750\) −784.852 3438.66i −0.0382117 0.167416i
\(751\) 21583.7 + 27065.1i 1.04874 + 1.31507i 0.947340 + 0.320229i \(0.103760\pi\)
0.101397 + 0.994846i \(0.467669\pi\)
\(752\) −20176.1 + 9716.31i −0.978388 + 0.471167i
\(753\) 6917.35 0.334770
\(754\) 6511.42 0.314499
\(755\) 180.364 86.8586i 0.00869418 0.00418690i
\(756\) −26979.0 23788.9i −1.29791 1.14444i
\(757\) 7570.79 + 3645.90i 0.363494 + 0.175050i 0.606711 0.794922i \(-0.292488\pi\)
−0.243217 + 0.969972i \(0.578203\pi\)
\(758\) −19594.9 9436.43i −0.938945 0.452172i
\(759\) 672.033 + 2944.37i 0.0321387 + 0.140809i
\(760\) 919.605 + 4029.05i 0.0438916 + 0.192301i
\(761\) 18733.2 + 9021.41i 0.892348 + 0.429732i 0.823119 0.567869i \(-0.192232\pi\)
0.0692285 + 0.997601i \(0.477946\pi\)
\(762\) −9944.25 4788.90i −0.472759 0.227669i
\(763\) 557.210 11260.0i 0.0264382 0.534257i
\(764\) 11818.1 5691.31i 0.559640 0.269508i
\(765\) −3956.53 −0.186992
\(766\) −33049.4 −1.55891
\(767\) 10773.3 5188.14i 0.507171 0.244241i
\(768\) 4213.99 + 5284.18i 0.197994 + 0.248277i
\(769\) 4149.14 + 18178.6i 0.194567 + 0.852453i 0.974105 + 0.226098i \(0.0725968\pi\)
−0.779538 + 0.626355i \(0.784546\pi\)
\(770\) −1982.79 + 1426.80i −0.0927985