Properties

Label 18.7.d.a.5.6
Level $18$
Weight $7$
Character 18.5
Analytic conductor $4.141$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.14097350516\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Defining polynomial: \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{10}\cdot 3^{10} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.6
Root \(-3.87527i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.7.d.a.11.6

$q$-expansion

\(f(q)\) \(=\) \(q+(4.89898 - 2.82843i) q^{2} +(25.6485 - 8.43532i) q^{3} +(16.0000 - 27.7128i) q^{4} +(1.59771 + 0.922438i) q^{5} +(101.793 - 113.869i) q^{6} +(6.34411 + 10.9883i) q^{7} -181.019i q^{8} +(586.691 - 432.707i) q^{9} +O(q^{10})\) \(q+(4.89898 - 2.82843i) q^{2} +(25.6485 - 8.43532i) q^{3} +(16.0000 - 27.7128i) q^{4} +(1.59771 + 0.922438i) q^{5} +(101.793 - 113.869i) q^{6} +(6.34411 + 10.9883i) q^{7} -181.019i q^{8} +(586.691 - 432.707i) q^{9} +10.4362 q^{10} +(-49.8080 + 28.7567i) q^{11} +(176.609 - 845.757i) q^{12} +(-1411.17 + 2444.23i) q^{13} +(62.1593 + 35.8877i) q^{14} +(48.7599 + 10.1820i) q^{15} +(-512.000 - 886.810i) q^{16} +7221.17i q^{17} +(1650.31 - 3779.23i) q^{18} -10648.3 q^{19} +(51.1267 - 29.5180i) q^{20} +(255.407 + 228.319i) q^{21} +(-162.672 + 281.757i) q^{22} +(11573.9 + 6682.21i) q^{23} +(-1526.96 - 4642.87i) q^{24} +(-7810.80 - 13528.7i) q^{25} +15965.6i q^{26} +(11397.7 - 16047.2i) q^{27} +406.023 q^{28} +(30795.1 - 17779.6i) q^{29} +(267.673 - 88.0326i) q^{30} +(8657.84 - 14995.8i) q^{31} +(-5016.55 - 2896.31i) q^{32} +(-1034.93 + 1157.71i) q^{33} +(20424.5 + 35376.3i) q^{34} +23.4082i q^{35} +(-2604.46 - 23182.2i) q^{36} -60441.2 q^{37} +(-52166.0 + 30118.0i) q^{38} +(-15576.7 + 74594.4i) q^{39} +(166.979 - 289.216i) q^{40} +(-75436.3 - 43553.2i) q^{41} +(1897.02 + 396.132i) q^{42} +(37932.2 + 65700.4i) q^{43} +1840.43i q^{44} +(1336.51 - 150.153i) q^{45} +75600.6 q^{46} +(61896.5 - 35736.0i) q^{47} +(-20612.6 - 18426.5i) q^{48} +(58744.0 - 101748. i) q^{49} +(-76529.9 - 44184.5i) q^{50} +(60912.8 + 185212. i) q^{51} +(45157.6 + 78215.2i) q^{52} -147761. i q^{53} +(10448.9 - 110853. i) q^{54} -106.105 q^{55} +(1989.10 - 1148.41i) q^{56} +(-273114. + 89822.1i) q^{57} +(100576. - 174203. i) q^{58} +(100224. + 57864.1i) q^{59} +(1062.33 - 1188.36i) q^{60} +(20138.6 + 34881.1i) q^{61} -97952.2i q^{62} +(8476.74 + 3701.61i) q^{63} -32768.0 q^{64} +(-4509.29 + 2603.44i) q^{65} +(-1795.59 + 8598.83i) q^{66} +(90883.7 - 157415. i) q^{67} +(200119. + 115539. i) q^{68} +(353221. + 73758.9i) q^{69} +(66.2083 + 114.676i) q^{70} +301066. i q^{71} +(-78328.3 - 106202. i) q^{72} -612635. q^{73} +(-296100. + 170954. i) q^{74} +(-314454. - 281104. i) q^{75} +(-170373. + 295095. i) q^{76} +(-631.975 - 364.871i) q^{77} +(134675. + 409494. i) q^{78} +(171651. + 297308. i) q^{79} -1889.15i q^{80} +(156971. - 507730. i) q^{81} -492748. q^{82} +(-131581. + 75968.6i) q^{83} +(10413.9 - 3424.93i) q^{84} +(-6661.07 + 11537.3i) q^{85} +(371658. + 214577. i) q^{86} +(639872. - 715786. i) q^{87} +(5205.52 + 9016.22i) q^{88} +102435. i q^{89} +(6122.82 - 4515.81i) q^{90} -35810.6 q^{91} +(370366. - 213831. i) q^{92} +(95566.0 - 457652. i) q^{93} +(202153. - 350140. i) q^{94} +(-17012.9 - 9822.43i) q^{95} +(-153098. - 31969.7i) q^{96} +(247882. + 429345. i) q^{97} -664613. i q^{98} +(-16778.7 + 38423.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9} + 378 q^{11} + 384 q^{12} + 1680 q^{13} - 4752 q^{14} - 10872 q^{15} - 6144 q^{16} - 2976 q^{18} - 2820 q^{19} + 13824 q^{20} + 24876 q^{21} - 3600 q^{22} - 76248 q^{23} - 6144 q^{24} + 8094 q^{25} + 127008 q^{27} + 15360 q^{28} + 97092 q^{29} + 34272 q^{30} + 21480 q^{31} - 246258 q^{33} - 27360 q^{34} + 38208 q^{36} - 25536 q^{37} + 97632 q^{38} + 42204 q^{39} - 410562 q^{41} - 222144 q^{42} + 71430 q^{43} + 13716 q^{45} - 135072 q^{46} + 347652 q^{47} + 55296 q^{48} - 135954 q^{49} + 311040 q^{50} + 336402 q^{51} - 53760 q^{52} - 173520 q^{54} + 580392 q^{55} - 152064 q^{56} - 522282 q^{57} + 159264 q^{58} + 369738 q^{59} - 170496 q^{60} + 135744 q^{61} - 103800 q^{63} - 393216 q^{64} - 753840 q^{65} + 909216 q^{66} - 289938 q^{67} + 744768 q^{68} + 2059272 q^{69} + 155952 q^{70} - 374784 q^{72} - 977700 q^{73} - 2197152 q^{74} - 2115342 q^{75} - 45120 q^{76} - 159192 q^{77} - 631488 q^{78} - 764796 q^{79} - 1428282 q^{81} + 1073088 q^{82} + 396900 q^{83} + 1441536 q^{84} + 1619568 q^{85} + 3264624 q^{86} + 3072636 q^{87} + 115200 q^{88} - 1987200 q^{90} + 355584 q^{91} - 2439936 q^{92} - 2526576 q^{93} - 736848 q^{94} - 2089260 q^{95} - 49152 q^{96} - 38874 q^{97} + 4398804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.89898 2.82843i 0.612372 0.353553i
\(3\) 25.6485 8.43532i 0.949944 0.312419i
\(4\) 16.0000 27.7128i 0.250000 0.433013i
\(5\) 1.59771 + 0.922438i 0.0127817 + 0.00737950i 0.506377 0.862312i \(-0.330984\pi\)
−0.493596 + 0.869692i \(0.664318\pi\)
\(6\) 101.793 113.869i 0.471263 0.527173i
\(7\) 6.34411 + 10.9883i 0.0184959 + 0.0320359i 0.875125 0.483897i \(-0.160779\pi\)
−0.856629 + 0.515932i \(0.827446\pi\)
\(8\) 181.019i 0.353553i
\(9\) 586.691 432.707i 0.804788 0.593562i
\(10\) 10.4362 0.0104362
\(11\) −49.8080 + 28.7567i −0.0374215 + 0.0216053i −0.518594 0.855021i \(-0.673544\pi\)
0.481173 + 0.876626i \(0.340211\pi\)
\(12\) 176.609 845.757i 0.102205 0.489443i
\(13\) −1411.17 + 2444.23i −0.642319 + 1.11253i 0.342595 + 0.939483i \(0.388694\pi\)
−0.984914 + 0.173046i \(0.944639\pi\)
\(14\) 62.1593 + 35.8877i 0.0226528 + 0.0130786i
\(15\) 48.7599 + 10.1820i 0.0144474 + 0.00301687i
\(16\) −512.000 886.810i −0.125000 0.216506i
\(17\) 7221.17i 1.46981i 0.678171 + 0.734904i \(0.262773\pi\)
−0.678171 + 0.734904i \(0.737227\pi\)
\(18\) 1650.31 3779.23i 0.282974 0.648017i
\(19\) −10648.3 −1.55246 −0.776231 0.630449i \(-0.782871\pi\)
−0.776231 + 0.630449i \(0.782871\pi\)
\(20\) 51.1267 29.5180i 0.00639084 0.00368975i
\(21\) 255.407 + 228.319i 0.0275787 + 0.0246538i
\(22\) −162.672 + 281.757i −0.0152773 + 0.0264610i
\(23\) 11573.9 + 6682.21i 0.951256 + 0.549208i 0.893471 0.449121i \(-0.148263\pi\)
0.0577851 + 0.998329i \(0.481596\pi\)
\(24\) −1526.96 4642.87i −0.110457 0.335856i
\(25\) −7810.80 13528.7i −0.499891 0.865837i
\(26\) 15965.6i 0.908376i
\(27\) 11397.7 16047.2i 0.579064 0.815282i
\(28\) 406.023 0.0184959
\(29\) 30795.1 17779.6i 1.26266 0.729000i 0.289075 0.957306i \(-0.406652\pi\)
0.973589 + 0.228307i \(0.0733190\pi\)
\(30\) 267.673 88.0326i 0.00991380 0.00326047i
\(31\) 8657.84 14995.8i 0.290619 0.503367i −0.683337 0.730103i \(-0.739472\pi\)
0.973956 + 0.226736i \(0.0728054\pi\)
\(32\) −5016.55 2896.31i −0.153093 0.0883883i
\(33\) −1034.93 + 1157.71i −0.0287984 + 0.0322151i
\(34\) 20424.5 + 35376.3i 0.519656 + 0.900070i
\(35\) 23.4082i 0.000545963i
\(36\) −2604.46 23182.2i −0.0558227 0.496874i
\(37\) −60441.2 −1.19324 −0.596620 0.802524i \(-0.703490\pi\)
−0.596620 + 0.802524i \(0.703490\pi\)
\(38\) −52166.0 + 30118.0i −0.950685 + 0.548878i
\(39\) −15576.7 + 74594.4i −0.262592 + 1.25751i
\(40\) 166.979 289.216i 0.00260905 0.00451900i
\(41\) −75436.3 43553.2i −1.09453 0.631929i −0.159754 0.987157i \(-0.551070\pi\)
−0.934780 + 0.355228i \(0.884403\pi\)
\(42\) 1897.02 + 396.132i 0.0256049 + 0.00534677i
\(43\) 37932.2 + 65700.4i 0.477092 + 0.826348i 0.999655 0.0262527i \(-0.00835745\pi\)
−0.522563 + 0.852601i \(0.675024\pi\)
\(44\) 1840.43i 0.0216053i
\(45\) 1336.51 150.153i 0.0146667 0.00164777i
\(46\) 75600.6 0.776697
\(47\) 61896.5 35736.0i 0.596174 0.344201i −0.171361 0.985208i \(-0.554817\pi\)
0.767535 + 0.641007i \(0.221483\pi\)
\(48\) −20612.6 18426.5i −0.186384 0.166617i
\(49\) 58744.0 101748.i 0.499316 0.864840i
\(50\) −76529.9 44184.5i −0.612239 0.353476i
\(51\) 60912.8 + 185212.i 0.459196 + 1.39624i
\(52\) 45157.6 + 78215.2i 0.321159 + 0.556265i
\(53\) 147761.i 0.992505i −0.868178 0.496252i \(-0.834709\pi\)
0.868178 0.496252i \(-0.165291\pi\)
\(54\) 10448.9 110853.i 0.0663571 0.703986i
\(55\) −106.105 −0.000637746
\(56\) 1989.10 1148.41i 0.0113264 0.00653930i
\(57\) −273114. + 89822.1i −1.47475 + 0.485019i
\(58\) 100576. 174203.i 0.515481 0.892838i
\(59\) 100224. + 57864.1i 0.487993 + 0.281743i 0.723742 0.690071i \(-0.242421\pi\)
−0.235748 + 0.971814i \(0.575754\pi\)
\(60\) 1062.33 1188.36i 0.00491819 0.00550168i
\(61\) 20138.6 + 34881.1i 0.0887239 + 0.153674i 0.906972 0.421191i \(-0.138388\pi\)
−0.818248 + 0.574865i \(0.805054\pi\)
\(62\) 97952.2i 0.410998i
\(63\) 8476.74 + 3701.61i 0.0339006 + 0.0148036i
\(64\) −32768.0 −0.125000
\(65\) −4509.29 + 2603.44i −0.0164198 + 0.00947999i
\(66\) −1795.59 + 8598.83i −0.00624563 + 0.0299094i
\(67\) 90883.7 157415.i 0.302177 0.523386i −0.674452 0.738319i \(-0.735620\pi\)
0.976629 + 0.214933i \(0.0689533\pi\)
\(68\) 200119. + 115539.i 0.636445 + 0.367452i
\(69\) 353221. + 73758.9i 1.07522 + 0.224526i
\(70\) 66.2083 + 114.676i 0.000193027 + 0.000334333i
\(71\) 301066.i 0.841175i 0.907252 + 0.420588i \(0.138176\pi\)
−0.907252 + 0.420588i \(0.861824\pi\)
\(72\) −78328.3 106202.i −0.209856 0.284536i
\(73\) −612635. −1.57483 −0.787415 0.616424i \(-0.788581\pi\)
−0.787415 + 0.616424i \(0.788581\pi\)
\(74\) −296100. + 170954.i −0.730707 + 0.421874i
\(75\) −314454. 281104.i −0.745373 0.666321i
\(76\) −170373. + 295095.i −0.388116 + 0.672236i
\(77\) −631.975 364.871i −0.00138429 0.000799221i
\(78\) 134675. + 409494.i 0.283794 + 0.862907i
\(79\) 171651. + 297308.i 0.348149 + 0.603012i 0.985921 0.167214i \(-0.0534770\pi\)
−0.637772 + 0.770225i \(0.720144\pi\)
\(80\) 1889.15i 0.00368975i
\(81\) 156971. 507730.i 0.295369 0.955383i
\(82\) −492748. −0.893683
\(83\) −131581. + 75968.6i −0.230123 + 0.132862i −0.610629 0.791917i \(-0.709083\pi\)
0.380506 + 0.924779i \(0.375750\pi\)
\(84\) 10413.9 3424.93i 0.0175701 0.00577849i
\(85\) −6661.07 + 11537.3i −0.0108464 + 0.0187866i
\(86\) 371658. + 214577.i 0.584316 + 0.337355i
\(87\) 639872. 715786.i 0.971707 1.08699i
\(88\) 5205.52 + 9016.22i 0.00763864 + 0.0132305i
\(89\) 102435.i 0.145304i 0.997357 + 0.0726520i \(0.0231462\pi\)
−0.997357 + 0.0726520i \(0.976854\pi\)
\(90\) 6122.82 4515.81i 0.00839893 0.00619452i
\(91\) −35810.6 −0.0475212
\(92\) 370366. 213831.i 0.475628 0.274604i
\(93\) 95566.0 457652.i 0.118810 0.568966i
\(94\) 202153. 350140.i 0.243387 0.421558i
\(95\) −17012.9 9822.43i −0.0198431 0.0114564i
\(96\) −153098. 31969.7i −0.173044 0.0361348i
\(97\) 247882. + 429345.i 0.271600 + 0.470425i 0.969272 0.245992i \(-0.0791138\pi\)
−0.697672 + 0.716418i \(0.745780\pi\)
\(98\) 664613.i 0.706139i
\(99\) −16778.7 + 38423.5i −0.0172923 + 0.0395997i
\(100\) −499891. −0.499891
\(101\) 68156.2 39350.0i 0.0661517 0.0381927i −0.466559 0.884490i \(-0.654507\pi\)
0.532711 + 0.846297i \(0.321173\pi\)
\(102\) 822270. + 735062.i 0.774843 + 0.692666i
\(103\) 326814. 566059.i 0.299081 0.518024i −0.676845 0.736126i \(-0.736653\pi\)
0.975926 + 0.218102i \(0.0699865\pi\)
\(104\) 442452. + 255450.i 0.393338 + 0.227094i
\(105\) 197.455 + 600.384i 0.000170569 + 0.000518634i
\(106\) −417932. 723879.i −0.350903 0.607783i
\(107\) 1.53176e6i 1.25037i 0.780476 + 0.625186i \(0.214977\pi\)
−0.780476 + 0.625186i \(0.785023\pi\)
\(108\) −262349. 572618.i −0.208261 0.454563i
\(109\) 863246. 0.666584 0.333292 0.942824i \(-0.391840\pi\)
0.333292 + 0.942824i \(0.391840\pi\)
\(110\) −519.806 + 300.110i −0.000390538 + 0.000225477i
\(111\) −1.55023e6 + 509841.i −1.13351 + 0.372791i
\(112\) 6496.36 11252.0i 0.00462398 0.00800897i
\(113\) −1.51141e6 872613.i −1.04748 0.604765i −0.125540 0.992089i \(-0.540066\pi\)
−0.921944 + 0.387324i \(0.873400\pi\)
\(114\) −1.08392e6 + 1.21252e6i −0.731618 + 0.818416i
\(115\) 12327.8 + 21352.5i 0.00810576 + 0.0140396i
\(116\) 1.13789e6i 0.729000i
\(117\) 229710. + 2.04463e6i 0.143424 + 1.27661i
\(118\) 654658. 0.398445
\(119\) −79348.4 + 45811.8i −0.0470866 + 0.0271855i
\(120\) 1843.13 8826.48i 0.00106663 0.00510792i
\(121\) −884127. + 1.53135e6i −0.499066 + 0.864408i
\(122\) 197318. + 113921.i 0.108664 + 0.0627373i
\(123\) −2.30221e6 480744.i −1.23717 0.258344i
\(124\) −277051. 479866.i −0.145310 0.251684i
\(125\) 57646.1i 0.0295148i
\(126\) 51997.1 5841.76i 0.0259937 0.00292033i
\(127\) 3.20463e6 1.56447 0.782234 0.622985i \(-0.214080\pi\)
0.782234 + 0.622985i \(0.214080\pi\)
\(128\) −160530. + 92681.9i −0.0765466 + 0.0441942i
\(129\) 1.52711e6 + 1.36515e6i 0.711378 + 0.635932i
\(130\) −14727.3 + 25508.4i −0.00670336 + 0.0116106i
\(131\) −2.63987e6 1.52413e6i −1.17427 0.677967i −0.219590 0.975592i \(-0.570472\pi\)
−0.954683 + 0.297625i \(0.903805\pi\)
\(132\) 15524.6 + 47204.2i 0.00674992 + 0.0205239i
\(133\) −67554.2 117007.i −0.0287142 0.0497345i
\(134\) 1.02823e6i 0.427343i
\(135\) 33012.8 15125.1i 0.0134178 0.00614746i
\(136\) 1.30717e6 0.519656
\(137\) 3.54873e6 2.04886e6i 1.38010 0.796802i 0.387931 0.921689i \(-0.373190\pi\)
0.992171 + 0.124887i \(0.0398567\pi\)
\(138\) 1.93904e6 637715.i 0.737819 0.242655i
\(139\) 556460. 963816.i 0.207200 0.358881i −0.743632 0.668590i \(-0.766898\pi\)
0.950831 + 0.309709i \(0.100232\pi\)
\(140\) 648.706 + 374.531i 0.000236409 + 0.000136491i
\(141\) 1.28611e6 1.43869e6i 0.458797 0.513228i
\(142\) 851543. + 1.47492e6i 0.297400 + 0.515112i
\(143\) 162323.i 0.0555100i
\(144\) −684114. 298737.i −0.229108 0.100047i
\(145\) 65602.2 0.0215186
\(146\) −3.00129e6 + 1.73279e6i −0.964382 + 0.556786i
\(147\) 648422. 3.10520e6i 0.204129 0.977546i
\(148\) −967059. + 1.67500e6i −0.298310 + 0.516688i
\(149\) −440188. 254142.i −0.133070 0.0768278i 0.431987 0.901880i \(-0.357812\pi\)
−0.565057 + 0.825052i \(0.691146\pi\)
\(150\) −2.33559e6 487713.i −0.692026 0.144508i
\(151\) −2.81751e6 4.88007e6i −0.818341 1.41741i −0.906904 0.421338i \(-0.861561\pi\)
0.0885624 0.996071i \(-0.471773\pi\)
\(152\) 1.92756e6i 0.548878i
\(153\) 3.12465e6 + 4.23659e6i 0.872422 + 1.18288i
\(154\) −4128.04 −0.00113027
\(155\) 27665.4 15972.6i 0.00742920 0.00428925i
\(156\) 1.81799e6 + 1.62518e6i 0.478871 + 0.428084i
\(157\) −2.68126e6 + 4.64408e6i −0.692852 + 1.20005i 0.278048 + 0.960567i \(0.410313\pi\)
−0.970900 + 0.239487i \(0.923021\pi\)
\(158\) 1.68183e6 + 971005.i 0.426394 + 0.246179i
\(159\) −1.24641e6 3.78985e6i −0.310078 0.942824i
\(160\) −5343.33 9254.92i −0.00130452 0.00225950i
\(161\) 169571.i 0.0406324i
\(162\) −667079. 2.93134e6i −0.156903 0.689479i
\(163\) −2.42021e6 −0.558844 −0.279422 0.960168i \(-0.590143\pi\)
−0.279422 + 0.960168i \(0.590143\pi\)
\(164\) −2.41396e6 + 1.39370e6i −0.547267 + 0.315965i
\(165\) −2721.43 + 895.030i −0.000605823 + 0.000199244i
\(166\) −429743. + 744337.i −0.0939474 + 0.162722i
\(167\) 7.16092e6 + 4.13436e6i 1.53751 + 0.887685i 0.998983 + 0.0450793i \(0.0143541\pi\)
0.538532 + 0.842605i \(0.318979\pi\)
\(168\) 41330.2 46233.5i 0.00871645 0.00975056i
\(169\) −1.56942e6 2.71832e6i −0.325147 0.563171i
\(170\) 75361.5i 0.0153392i
\(171\) −6.24728e6 + 4.60761e6i −1.24940 + 0.921482i
\(172\) 2.42766e6 0.477092
\(173\) 2.27322e6 1.31244e6i 0.439039 0.253479i −0.264151 0.964481i \(-0.585092\pi\)
0.703190 + 0.711002i \(0.251758\pi\)
\(174\) 1.11017e6 5.31645e6i 0.210738 1.00919i
\(175\) 99105.0 171655.i 0.0184919 0.0320289i
\(176\) 51003.4 + 29446.8i 0.00935538 + 0.00540133i
\(177\) 3.05869e6 + 638709.i 0.551588 + 0.115182i
\(178\) 289729. + 501826.i 0.0513727 + 0.0889802i
\(179\) 7.60442e6i 1.32589i 0.748669 + 0.662944i \(0.230693\pi\)
−0.748669 + 0.662944i \(0.769307\pi\)
\(180\) 17222.9 39440.8i 0.00295318 0.00676282i
\(181\) −9.89440e6 −1.66861 −0.834303 0.551306i \(-0.814130\pi\)
−0.834303 + 0.551306i \(0.814130\pi\)
\(182\) −175435. + 101288.i −0.0291006 + 0.0168013i
\(183\) 810759. + 724773.i 0.132294 + 0.118263i
\(184\) 1.20961e6 2.09511e6i 0.194174 0.336320i
\(185\) −96567.4 55753.2i −0.0152516 0.00880552i
\(186\) −826258. 2.51233e6i −0.128404 0.390425i
\(187\) −207657. 359672.i −0.0317557 0.0550024i
\(188\) 2.28710e6i 0.344201i
\(189\) 248640. + 23436.6i 0.0368286 + 0.00347143i
\(190\) −111128. −0.0162018
\(191\) −1.09559e6 + 632537.i −0.157234 + 0.0907791i −0.576553 0.817060i \(-0.695602\pi\)
0.419319 + 0.907839i \(0.362269\pi\)
\(192\) −840450. + 276409.i −0.118743 + 0.0390524i
\(193\) −654987. + 1.13447e6i −0.0911089 + 0.157805i −0.907978 0.419018i \(-0.862374\pi\)
0.816869 + 0.576823i \(0.195708\pi\)
\(194\) 2.42874e6 + 1.40223e6i 0.332641 + 0.192050i
\(195\) −93695.7 + 104812.i −0.0126362 + 0.0141353i
\(196\) −1.87981e6 3.25592e6i −0.249658 0.432420i
\(197\) 9.83234e6i 1.28605i −0.765845 0.643025i \(-0.777679\pi\)
0.765845 0.643025i \(-0.222321\pi\)
\(198\) 26479.6 + 235694.i 0.00341127 + 0.0303635i
\(199\) 1.36283e7 1.72934 0.864672 0.502336i \(-0.167526\pi\)
0.864672 + 0.502336i \(0.167526\pi\)
\(200\) −2.44896e6 + 1.41391e6i −0.306120 + 0.176738i
\(201\) 1.00318e6 4.80410e6i 0.123536 0.591594i
\(202\) 222597. 385549.i 0.0270063 0.0467763i
\(203\) 390735. + 225591.i 0.0467083 + 0.0269671i
\(204\) 6.10735e6 + 1.27533e6i 0.719387 + 0.150221i
\(205\) −80350.2 139171.i −0.00932664 0.0161542i
\(206\) 3.69748e6i 0.422965i
\(207\) 9.68176e6 1.08772e6i 1.09155 0.122633i
\(208\) 2.89009e6 0.321159
\(209\) 530373. 306211.i 0.0580955 0.0335414i
\(210\) 2665.47 + 2382.78i 0.000287817 + 0.000257292i
\(211\) 1.55640e6 2.69577e6i 0.165682 0.286969i −0.771216 0.636574i \(-0.780351\pi\)
0.936897 + 0.349605i \(0.113684\pi\)
\(212\) −4.09488e6 2.36418e6i −0.429767 0.248126i
\(213\) 2.53959e6 + 7.72189e6i 0.262799 + 0.799070i
\(214\) 4.33247e6 + 7.50405e6i 0.442073 + 0.765693i
\(215\) 139960.i 0.0140828i
\(216\) −2.90485e6 2.06321e6i −0.288246 0.204730i
\(217\) 219705. 0.0215011
\(218\) 4.22902e6 2.44163e6i 0.408198 0.235673i
\(219\) −1.57132e7 + 5.16778e6i −1.49600 + 0.492007i
\(220\) −1697.68 + 2940.47i −0.000159437 + 0.000276152i
\(221\) −1.76502e7 1.01903e7i −1.63520 0.944085i
\(222\) −6.15248e6 + 6.88240e6i −0.562330 + 0.629044i
\(223\) 1.00499e7 + 1.74069e7i 0.906248 + 1.56967i 0.819234 + 0.573460i \(0.194399\pi\)
0.0870139 + 0.996207i \(0.472268\pi\)
\(224\) 73498.0i 0.00653930i
\(225\) −1.04365e7 4.55738e6i −0.916234 0.400099i
\(226\) −9.87249e6 −0.855267
\(227\) −1.03090e7 + 5.95188e6i −0.881328 + 0.508835i −0.871096 0.491113i \(-0.836590\pi\)
−0.0102317 + 0.999948i \(0.503257\pi\)
\(228\) −1.88060e6 + 9.00591e6i −0.158669 + 0.759841i
\(229\) 1.55174e6 2.68769e6i 0.129215 0.223807i −0.794158 0.607712i \(-0.792088\pi\)
0.923373 + 0.383905i \(0.125421\pi\)
\(230\) 120788. + 69736.8i 0.00992749 + 0.00573164i
\(231\) −19287.0 4027.48i −0.00156469 0.000326736i
\(232\) −3.21845e6 5.57451e6i −0.257740 0.446419i
\(233\) 9.36024e6i 0.739979i −0.929036 0.369989i \(-0.879361\pi\)
0.929036 0.369989i \(-0.120639\pi\)
\(234\) 6.90843e6 + 9.36688e6i 0.539177 + 0.731051i
\(235\) 131857. 0.0101601
\(236\) 3.20715e6 1.85165e6i 0.243997 0.140872i
\(237\) 6.91048e6 + 6.17758e6i 0.519115 + 0.464059i
\(238\) −259151. + 448862.i −0.0192230 + 0.0332953i
\(239\) 6.05702e6 + 3.49702e6i 0.443676 + 0.256156i 0.705156 0.709053i \(-0.250877\pi\)
−0.261480 + 0.965209i \(0.584211\pi\)
\(240\) −15935.6 48453.9i −0.00115275 0.00350506i
\(241\) 2.06773e6 + 3.58141e6i 0.147721 + 0.255860i 0.930385 0.366585i \(-0.119473\pi\)
−0.782664 + 0.622445i \(0.786140\pi\)
\(242\) 1.00028e7i 0.705786i
\(243\) −256792. 1.43466e7i −0.0178963 0.999840i
\(244\) 1.28887e6 0.0887239
\(245\) 187712. 108375.i 0.0127642 0.00736940i
\(246\) −1.26382e7 + 4.15649e6i −0.848949 + 0.279204i
\(247\) 1.50267e7 2.60269e7i 0.997176 1.72716i
\(248\) −2.71453e6 1.56724e6i −0.177967 0.102749i
\(249\) −2.73405e6 + 3.05841e6i −0.177096 + 0.198106i
\(250\) −163048. 282407.i −0.0104351 0.0180740i
\(251\) 6.15130e6i 0.388997i 0.980903 + 0.194498i \(0.0623079\pi\)
−0.980903 + 0.194498i \(0.937692\pi\)
\(252\) 238210. 175689.i 0.0148853 0.0109785i
\(253\) −768633. −0.0474633
\(254\) 1.56994e7 9.06406e6i 0.958037 0.553123i
\(255\) −73525.6 + 352103.i −0.00443423 + 0.0212349i
\(256\) −524288. + 908093.i −0.0312500 + 0.0541266i
\(257\) 6.62383e6 + 3.82427e6i 0.390220 + 0.225294i 0.682256 0.731114i \(-0.260999\pi\)
−0.292035 + 0.956408i \(0.594332\pi\)
\(258\) 1.13425e7 + 2.36852e6i 0.660464 + 0.137917i
\(259\) −383445. 664147.i −0.0220701 0.0382265i
\(260\) 166620.i 0.00947999i
\(261\) 1.03739e7 2.37564e7i 0.583471 1.33616i
\(262\) −1.72436e7 −0.958790
\(263\) 7.24714e6 4.18414e6i 0.398382 0.230006i −0.287404 0.957810i \(-0.592792\pi\)
0.685786 + 0.727804i \(0.259459\pi\)
\(264\) 209568. + 187342.i 0.0113897 + 0.0101818i
\(265\) 136300. 236079.i 0.00732419 0.0126859i
\(266\) −661893. 382144.i −0.0351676 0.0203040i
\(267\) 864071. + 2.62730e6i 0.0453958 + 0.138031i
\(268\) −2.90828e6 5.03729e6i −0.151089 0.261693i
\(269\) 2.26505e7i 1.16364i 0.813316 + 0.581822i \(0.197660\pi\)
−0.813316 + 0.581822i \(0.802340\pi\)
\(270\) 118949. 167472.i 0.00604322 0.00850844i
\(271\) −1.56983e7 −0.788758 −0.394379 0.918948i \(-0.629040\pi\)
−0.394379 + 0.918948i \(0.629040\pi\)
\(272\) 6.40380e6 3.69724e6i 0.318223 0.183726i
\(273\) −918487. + 302074.i −0.0451424 + 0.0148465i
\(274\) 1.15901e7 2.00746e7i 0.563424 0.975879i
\(275\) 778081. + 449225.i 0.0374134 + 0.0216006i
\(276\) 7.69559e6 8.60859e6i 0.366029 0.409454i
\(277\) 9.51658e6 + 1.64832e7i 0.447756 + 0.775537i 0.998240 0.0593095i \(-0.0188899\pi\)
−0.550483 + 0.834846i \(0.685557\pi\)
\(278\) 6.29562e6i 0.293025i
\(279\) −1.40931e6 1.25442e7i −0.0648926 0.577605i
\(280\) 4237.33 0.000193027
\(281\) −1.12171e7 + 6.47622e6i −0.505549 + 0.291879i −0.731002 0.682375i \(-0.760947\pi\)
0.225453 + 0.974254i \(0.427614\pi\)
\(282\) 2.23139e6 1.06858e7i 0.0995010 0.476496i
\(283\) −1.67469e7 + 2.90065e7i −0.738883 + 1.27978i 0.214116 + 0.976808i \(0.431313\pi\)
−0.952999 + 0.302974i \(0.902020\pi\)
\(284\) 8.34338e6 + 4.81705e6i 0.364240 + 0.210294i
\(285\) −519212. 108421.i −0.0224290 0.00468358i
\(286\) −459118. 795216.i −0.0196258 0.0339928i
\(287\) 1.10522e6i 0.0467525i
\(288\) −4.19642e6 + 471458.i −0.175672 + 0.0197363i
\(289\) −2.80077e7 −1.16033
\(290\) 321384. 185551.i 0.0131774 0.00760798i
\(291\) 9.97946e6 + 8.92108e6i 0.404975 + 0.362025i
\(292\) −9.80217e6 + 1.69779e7i −0.393707 + 0.681921i
\(293\) 1.31069e7 + 7.56728e6i 0.521072 + 0.300841i 0.737373 0.675486i \(-0.236066\pi\)
−0.216301 + 0.976327i \(0.569399\pi\)
\(294\) −5.60622e6 1.70463e7i −0.220611 0.670793i
\(295\) 106752. + 184900.i 0.00415825 + 0.00720229i
\(296\) 1.09410e7i 0.421874i
\(297\) −106234. + 1.12704e6i −0.00405502 + 0.0430200i
\(298\) −2.87529e6 −0.108651
\(299\) −3.26657e7 + 1.88595e7i −1.22202 + 0.705533i
\(300\) −1.28215e7 + 4.21674e6i −0.474869 + 0.156176i
\(301\) −481291. + 833621.i −0.0176485 + 0.0305682i
\(302\) −2.76058e7 1.59382e7i −1.00226 0.578655i
\(303\) 1.41617e6 1.58419e6i 0.0509083 0.0569480i
\(304\) 5.45195e6 + 9.44305e6i 0.194058 + 0.336118i
\(305\) 74306.5i 0.00261895i
\(306\) 2.72905e7 + 1.19171e7i 0.952460 + 0.415918i
\(307\) −5.41823e6 −0.187259 −0.0936294 0.995607i \(-0.529847\pi\)
−0.0936294 + 0.995607i \(0.529847\pi\)
\(308\) −20223.2 + 11675.9i −0.000692146 + 0.000399611i
\(309\) 3.60741e6 1.72753e7i 0.122270 0.585533i
\(310\) 90354.8 156499.i 0.00303296 0.00525324i
\(311\) 2.36986e7 + 1.36824e7i 0.787848 + 0.454864i 0.839204 0.543816i \(-0.183021\pi\)
−0.0513567 + 0.998680i \(0.516355\pi\)
\(312\) 1.35030e7 + 2.81968e6i 0.444598 + 0.0928402i
\(313\) −1.13895e7 1.97272e7i −0.371426 0.643328i 0.618360 0.785895i \(-0.287798\pi\)
−0.989785 + 0.142567i \(0.954464\pi\)
\(314\) 3.03350e7i 0.979840i
\(315\) 10128.9 + 13733.4i 0.000324063 + 0.000439385i
\(316\) 1.09857e7 0.348149
\(317\) 2.29031e7 1.32231e7i 0.718979 0.415103i −0.0953979 0.995439i \(-0.530412\pi\)
0.814377 + 0.580337i \(0.197079\pi\)
\(318\) −1.68255e7 1.50410e7i −0.523222 0.467731i
\(319\) −1.02256e6 + 1.77113e6i −0.0315005 + 0.0545605i
\(320\) −52353.7 30226.4i −0.00159771 0.000922438i
\(321\) 1.29209e7 + 3.92873e7i 0.390640 + 1.18778i
\(322\) 479618. + 830723.i 0.0143657 + 0.0248822i
\(323\) 7.68934e7i 2.28182i
\(324\) −1.15591e7 1.24738e7i −0.339851 0.366744i
\(325\) 4.40896e7 1.28436
\(326\) −1.18566e7 + 6.84539e6i −0.342221 + 0.197581i
\(327\) 2.21410e7 7.28176e6i 0.633218 0.208254i
\(328\) −7.88397e6 + 1.36554e7i −0.223421 + 0.386976i
\(329\) 785356. + 453426.i 0.0220536 + 0.0127326i
\(330\) −10800.7 + 12082.1i −0.000300546 + 0.000336203i
\(331\) −2.25635e7 3.90812e7i −0.622190 1.07766i −0.989077 0.147399i \(-0.952910\pi\)
0.366887 0.930265i \(-0.380424\pi\)
\(332\) 4.86199e6i 0.132862i
\(333\) −3.54603e7 + 2.61533e7i −0.960306 + 0.708262i
\(334\) 4.67749e7 1.25538
\(335\) 290411. 167669.i 0.00772466 0.00445983i
\(336\) 71707.5 343397.i 0.00189037 0.00905270i
\(337\) 1.56916e7 2.71787e7i 0.409994 0.710131i −0.584894 0.811110i \(-0.698864\pi\)
0.994889 + 0.100978i \(0.0321973\pi\)
\(338\) −1.53771e7 8.87800e6i −0.398222 0.229914i
\(339\) −4.61262e7 9.63199e6i −1.18399 0.247239i
\(340\) 213154. + 369194.i 0.00542322 + 0.00939330i
\(341\) 995883.i 0.0251157i
\(342\) −1.75730e7 + 4.02425e7i −0.439307 + 1.00602i
\(343\) 2.98347e6 0.0739331
\(344\) 1.18931e7 6.86646e6i 0.292158 0.168678i
\(345\) 496306. + 443669.i 0.0120863 + 0.0108044i
\(346\) 7.42430e6 1.28593e7i 0.179237 0.310447i
\(347\) 9.52685e6 + 5.50033e6i 0.228014 + 0.131644i 0.609655 0.792667i \(-0.291308\pi\)
−0.381642 + 0.924310i \(0.624641\pi\)
\(348\) −9.59849e6 2.91852e7i −0.227753 0.692509i
\(349\) 1.73905e6 + 3.01213e6i 0.0409107 + 0.0708594i 0.885756 0.464152i \(-0.153641\pi\)
−0.844845 + 0.535011i \(0.820307\pi\)
\(350\) 1.12125e6i 0.0261515i
\(351\) 2.31388e7 + 5.05040e7i 0.535081 + 1.16790i
\(352\) 333153. 0.00763864
\(353\) 2.33541e7 1.34835e7i 0.530932 0.306534i −0.210464 0.977602i \(-0.567497\pi\)
0.741396 + 0.671068i \(0.234164\pi\)
\(354\) 1.67910e7 5.52225e6i 0.378500 0.124482i
\(355\) −277714. + 481016.i −0.00620745 + 0.0107516i
\(356\) 2.83876e6 + 1.63896e6i 0.0629185 + 0.0363260i
\(357\) −1.64873e6 + 1.84433e6i −0.0362364 + 0.0405354i
\(358\) 2.15086e7 + 3.72539e7i 0.468773 + 0.811938i
\(359\) 8.82517e7i 1.90739i −0.300775 0.953695i \(-0.597245\pi\)
0.300775 0.953695i \(-0.402755\pi\)
\(360\) −27180.7 241933.i −0.000582576 0.00518547i
\(361\) 6.63412e7 1.41014
\(362\) −4.84725e7 + 2.79856e7i −1.02181 + 0.589941i
\(363\) −9.75907e6 + 4.67348e7i −0.204027 + 0.977058i
\(364\) −572969. + 992411.i −0.0118803 + 0.0205773i
\(365\) −978813. 565118.i −0.0201290 0.0116215i
\(366\) 6.02186e6 + 1.25747e6i 0.122825 + 0.0256481i
\(367\) −1.50282e7 2.60296e7i −0.304024 0.526585i 0.673019 0.739625i \(-0.264997\pi\)
−0.977044 + 0.213040i \(0.931664\pi\)
\(368\) 1.36852e7i 0.274604i
\(369\) −6.31036e7 + 7.08954e6i −1.25596 + 0.141104i
\(370\) −630776. −0.0124529
\(371\) 1.62365e6 937412.i 0.0317958 0.0183573i
\(372\) −1.11538e7 9.97083e6i −0.216667 0.193688i
\(373\) −1.95923e7 + 3.39349e7i −0.377537 + 0.653913i −0.990703 0.136041i \(-0.956562\pi\)
0.613166 + 0.789954i \(0.289896\pi\)
\(374\) −2.03461e6 1.17468e6i −0.0388926 0.0224547i
\(375\) −486263. 1.47854e6i −0.00922099 0.0280374i
\(376\) −6.46890e6 1.12045e7i −0.121693 0.210779i
\(377\) 1.00360e8i 1.87300i
\(378\) 1.28437e6 588445.i 0.0237802 0.0108951i
\(379\) −3.94927e7 −0.725436 −0.362718 0.931899i \(-0.618151\pi\)
−0.362718 + 0.931899i \(0.618151\pi\)
\(380\) −544414. + 314318.i −0.00992153 + 0.00572820i
\(381\) 8.21939e7 2.70321e7i 1.48616 0.488770i
\(382\) −3.57817e6 + 6.19757e6i −0.0641905 + 0.111181i
\(383\) −5.89496e7 3.40346e7i −1.04926 0.605793i −0.126821 0.991926i \(-0.540477\pi\)
−0.922443 + 0.386133i \(0.873811\pi\)
\(384\) −3.33555e6 + 3.73127e6i −0.0589079 + 0.0658966i
\(385\) −673.141 1165.91i −1.17957e−5 2.04308e-5i
\(386\) 7.41034e6i 0.128847i
\(387\) 5.06835e7 + 2.21323e7i 0.874447 + 0.381852i
\(388\) 1.58645e7 0.271600
\(389\) −6.88443e7 + 3.97473e7i −1.16955 + 0.675241i −0.953574 0.301157i \(-0.902627\pi\)
−0.215977 + 0.976398i \(0.569294\pi\)
\(390\) −162561. + 778482.i −0.00274046 + 0.0131236i
\(391\) −4.82534e7 + 8.35773e7i −0.807230 + 1.39816i
\(392\) −1.84183e7 1.06338e7i −0.305767 0.176535i
\(393\) −8.05653e7 1.68235e7i −1.32730 0.277165i
\(394\) −2.78101e7 4.81684e7i −0.454688 0.787542i
\(395\) 633349.i 0.0102767i
\(396\) 796365. + 1.07976e6i 0.0128241 + 0.0173877i
\(397\) −4.50639e6 −0.0720206 −0.0360103 0.999351i \(-0.511465\pi\)
−0.0360103 + 0.999351i \(0.511465\pi\)
\(398\) 6.67646e7 3.85466e7i 1.05900 0.611416i
\(399\) −2.71966e6 2.43122e6i −0.0428149 0.0382741i
\(400\) −7.99826e6 + 1.38534e7i −0.124973 + 0.216459i
\(401\) 3.46331e7 + 1.99954e7i 0.537104 + 0.310097i 0.743904 0.668286i \(-0.232972\pi\)
−0.206801 + 0.978383i \(0.566305\pi\)
\(402\) −8.67346e6 2.63726e7i −0.133510 0.405952i
\(403\) 2.44354e7 + 4.23234e7i 0.373340 + 0.646645i
\(404\) 2.51840e6i 0.0381927i
\(405\) 719143. 666409.i 0.0108256 0.0100317i
\(406\) 2.55227e6 0.0381372
\(407\) 3.01046e6 1.73809e6i 0.0446529 0.0257803i
\(408\) 3.35270e7 1.10264e7i 0.493644 0.162350i
\(409\) 2.00563e7 3.47385e7i 0.293144 0.507740i −0.681408 0.731904i \(-0.738632\pi\)
0.974551 + 0.224164i \(0.0719653\pi\)
\(410\) −787268. 454529.i −0.0114228 0.00659493i
\(411\) 7.37368e7 8.24848e7i 1.06208 1.18809i
\(412\) −1.04581e7 1.81139e7i −0.149541 0.259012i
\(413\) 1.46838e6i 0.0208444i
\(414\) 4.43542e7 3.27129e7i 0.625077 0.461018i
\(415\) −280305. −0.00392181
\(416\) 1.41585e7 8.17440e6i 0.196669 0.113547i
\(417\) 6.14225e6 2.94144e7i 0.0847071 0.405650i
\(418\) 1.73219e6 3.00024e6i 0.0237174 0.0410797i
\(419\) 7.70293e7 + 4.44729e7i 1.04716 + 0.604579i 0.921854 0.387538i \(-0.126675\pi\)
0.125309 + 0.992118i \(0.460008\pi\)
\(420\) 19797.6 + 4134.10i 0.000267218 + 5.57999e-5i
\(421\) −2.31687e7 4.01293e7i −0.310495 0.537793i 0.667975 0.744184i \(-0.267161\pi\)
−0.978470 + 0.206391i \(0.933828\pi\)
\(422\) 1.76087e7i 0.234309i
\(423\) 2.08509e7 4.77490e7i 0.275489 0.630875i
\(424\) −2.67476e7 −0.350903
\(425\) 9.76930e7 5.64031e7i 1.27261 0.734744i
\(426\) 3.42822e7 + 3.06463e7i 0.443445 + 0.396415i
\(427\) −255523. + 442579.i −0.00328206 + 0.00568470i
\(428\) 4.24493e7 + 2.45081e7i 0.541427 + 0.312593i
\(429\) −1.36925e6 4.16334e6i −0.0173424 0.0527314i
\(430\) 395867. + 685662.i 0.00497902 + 0.00862392i
\(431\) 1.17075e8i 1.46228i 0.682227 + 0.731140i \(0.261012\pi\)
−0.682227 + 0.731140i \(0.738988\pi\)
\(432\) −2.00664e7 1.89144e6i −0.248897 0.0234608i
\(433\) 1.81236e7 0.223244 0.111622 0.993751i \(-0.464395\pi\)
0.111622 + 0.993751i \(0.464395\pi\)
\(434\) 1.07633e6 621419.i 0.0131667 0.00760178i
\(435\) 1.68260e6 553375.i 0.0204415 0.00672283i
\(436\) 1.38119e7 2.39230e7i 0.166646 0.288639i
\(437\) −1.23243e8 7.11545e7i −1.47679 0.852624i
\(438\) −6.23619e7 + 6.97604e7i −0.742159 + 0.830208i
\(439\) −3.02641e6 5.24189e6i −0.0357712 0.0619576i 0.847586 0.530659i \(-0.178055\pi\)
−0.883357 + 0.468701i \(0.844722\pi\)
\(440\) 19207.1i 0.000225477i
\(441\) −9.56229e6 8.51133e7i −0.111493 0.992388i
\(442\) −1.15290e8 −1.33514
\(443\) 4.21347e6 2.43265e6i 0.0484651 0.0279813i −0.475572 0.879677i \(-0.657759\pi\)
0.524037 + 0.851696i \(0.324425\pi\)
\(444\) −1.06745e7 + 5.11186e7i −0.121955 + 0.584023i
\(445\) −94489.7 + 163661.i −0.00107227 + 0.00185723i
\(446\) 9.84684e7 + 5.68508e7i 1.10992 + 0.640814i
\(447\) −1.34339e7 2.80525e6i −0.150411 0.0314086i
\(448\) −207884. 360065.i −0.00231199 0.00400449i
\(449\) 1.43332e8i 1.58345i 0.610877 + 0.791725i \(0.290817\pi\)
−0.610877 + 0.791725i \(0.709183\pi\)
\(450\) −6.40183e7 + 7.19232e6i −0.702533 + 0.0789280i
\(451\) 5.00978e6 0.0546121
\(452\) −4.83651e7 + 2.79236e7i −0.523742 + 0.302382i
\(453\) −1.13430e8 1.01400e8i −1.22020 1.09079i
\(454\) −3.36689e7 + 5.83163e7i −0.359800 + 0.623193i
\(455\) −57214.9 33033.0i −0.000607400 0.000350682i
\(456\) 1.62595e7 + 4.94389e7i 0.171480 + 0.521404i
\(457\) −4.87353e7 8.44121e7i −0.510617 0.884415i −0.999924 0.0123031i \(-0.996084\pi\)
0.489307 0.872111i \(-0.337250\pi\)
\(458\) 1.75559e7i 0.182738i
\(459\) 1.15879e8 + 8.23048e7i 1.19831 + 0.851113i
\(460\) 788982. 0.00810576
\(461\) −4.63065e7 + 2.67351e7i −0.472650 + 0.272884i −0.717348 0.696715i \(-0.754644\pi\)
0.244699 + 0.969599i \(0.421311\pi\)
\(462\) −105878. + 34821.4i −0.00107369 + 0.000353118i
\(463\) −1.53890e7 + 2.66545e7i −0.155048 + 0.268552i −0.933077 0.359678i \(-0.882887\pi\)
0.778028 + 0.628229i \(0.216220\pi\)
\(464\) −3.15342e7 1.82063e7i −0.315666 0.182250i
\(465\) 574842. 643040.i 0.00571728 0.00639557i
\(466\) −2.64748e7 4.58556e7i −0.261622 0.453142i
\(467\) 1.10305e8i 1.08304i −0.840688 0.541519i \(-0.817849\pi\)
0.840688 0.541519i \(-0.182151\pi\)
\(468\) 6.03378e7 + 2.63482e7i 0.588643 + 0.257047i
\(469\) 2.30630e6 0.0223562
\(470\) 645964. 372947.i 0.00622178 0.00359215i
\(471\) −2.95960e7 + 1.41731e8i −0.283250 + 1.35644i
\(472\) 1.04745e7 1.81424e7i 0.0996112 0.172532i
\(473\) −3.77865e6 2.18161e6i −0.0357070 0.0206155i
\(474\) 5.13271e7 + 1.07180e7i 0.481961 + 0.100642i
\(475\) 8.31720e7 + 1.44058e8i 0.776062 + 1.34418i
\(476\) 2.93196e6i 0.0271855i
\(477\) −6.39372e7 8.66901e7i −0.589113 0.798756i
\(478\) 3.95643e7 0.362260
\(479\) −7.31282e6 + 4.22206e6i −0.0665393 + 0.0384165i −0.532901 0.846178i \(-0.678898\pi\)
0.466361 + 0.884594i \(0.345565\pi\)
\(480\) −215117. 192302.i −0.00194514 0.00173884i
\(481\) 8.52931e7 1.47732e8i 0.766441 1.32751i
\(482\) 2.02595e7 + 1.16968e7i 0.180920 + 0.104454i
\(483\) 1.43038e6 + 4.34923e6i 0.0126944 + 0.0385986i
\(484\) 2.82921e7 + 4.90033e7i 0.249533 + 0.432204i
\(485\) 914623.i 0.00801710i
\(486\) −4.18364e7 6.95574e7i −0.364456 0.605947i
\(487\) −3.58999e7 −0.310818 −0.155409 0.987850i \(-0.549669\pi\)
−0.155409 + 0.987850i \(0.549669\pi\)
\(488\) 6.31416e6 3.64548e6i 0.0543321 0.0313686i
\(489\) −6.20748e7 + 2.04153e7i −0.530871 + 0.174594i
\(490\) 613064. 1.06186e6i 0.00521095 0.00902564i
\(491\) −6.98926e7 4.03525e7i −0.590455 0.340899i 0.174823 0.984600i \(-0.444065\pi\)
−0.765277 + 0.643701i \(0.777398\pi\)
\(492\) −5.01582e7 + 5.61089e7i −0.421159 + 0.471125i
\(493\) 1.28389e8 + 2.22377e8i 1.07149 + 1.85587i
\(494\) 1.70007e8i 1.41022i
\(495\) −62250.8 + 45912.3i −0.000513251 + 0.000378542i
\(496\) −1.77312e7 −0.145310
\(497\) −3.30821e6 + 1.90999e6i −0.0269478 + 0.0155583i
\(498\) −4.74355e6 + 2.27162e7i −0.0384074 + 0.183928i
\(499\) 4.86033e7 8.41833e7i 0.391169 0.677524i −0.601435 0.798921i \(-0.705404\pi\)
0.992604 + 0.121398i \(0.0387376\pi\)
\(500\) −1.59753e6 922337.i −0.0127803 0.00737870i
\(501\) 2.18541e8 + 4.56354e7i 1.73788 + 0.362902i
\(502\) 1.73985e7 + 3.01351e7i 0.137531 + 0.238211i
\(503\) 1.31021e8i 1.02952i −0.857333 0.514762i \(-0.827880\pi\)
0.857333 0.514762i \(-0.172120\pi\)
\(504\) 670062. 1.53445e6i 0.00523388 0.0119857i
\(505\) 145192. 0.00112737
\(506\) −3.76552e6 + 2.17402e6i −0.0290652 + 0.0167808i
\(507\) −6.31833e7 5.64823e7i −0.484817 0.433399i
\(508\) 5.12741e7 8.88093e7i 0.391117 0.677435i
\(509\) −1.64280e8 9.48472e7i −1.24575 0.719236i −0.275493 0.961303i \(-0.588841\pi\)
−0.970260 + 0.242067i \(0.922175\pi\)
\(510\) 635698. + 1.93291e6i 0.00479226 + 0.0145714i
\(511\) −3.88662e6 6.73183e6i −0.0291279 0.0504511i
\(512\) 5.93164e6i 0.0441942i
\(513\) −1.21367e8 + 1.70876e8i −0.898975 + 1.26569i
\(514\) 4.32667e7 0.318614
\(515\) 1.04431e6 602931.i 0.00764552 0.00441414i
\(516\) 6.22658e7 2.04781e7i 0.453211 0.149053i
\(517\) −2.05530e6 + 3.55988e6i −0.0148731 + 0.0257610i
\(518\) −3.75698e6 2.16909e6i −0.0270302 0.0156059i
\(519\) 4.72337e7 5.28375e7i 0.337871 0.377955i
\(520\) 471273. + 816269.i 0.00335168 + 0.00580528i
\(521\) 3.24426e7i 0.229405i −0.993400 0.114702i \(-0.963409\pi\)
0.993400 0.114702i \(-0.0365914\pi\)
\(522\) −1.63717e7 1.45724e8i −0.115102 1.02452i
\(523\) 8.16094e7 0.570473 0.285237 0.958457i \(-0.407928\pi\)
0.285237 + 0.958457i \(0.407928\pi\)
\(524\) −8.44759e7 + 4.87722e7i −0.587137 + 0.338983i
\(525\) 1.09393e6 5.23868e6i 0.00755983 0.0362029i
\(526\) 2.36691e7 4.09960e7i 0.162639 0.281699i
\(527\) 1.08287e8 + 6.25197e7i 0.739853 + 0.427154i
\(528\) 1.55656e6 + 325037.i 0.0105746 + 0.00220816i
\(529\) 1.52860e7 + 2.64761e7i 0.103259 + 0.178849i
\(530\) 1.54206e6i 0.0103580i
\(531\) 8.38384e7 9.41906e6i 0.559963 0.0629106i
\(532\) −4.32347e6 −0.0287142
\(533\) 2.12908e8 1.22922e8i 1.40608 0.811800i
\(534\) 1.16642e7 + 1.04271e7i 0.0766004 + 0.0684764i
\(535\) −1.41295e6 + 2.44730e6i −0.00922712 + 0.0159818i
\(536\) −2.84952e7 1.64517e7i −0.185045 0.106836i
\(537\) 6.41457e7 + 1.95042e8i 0.414233 + 1.25952i
\(538\) 6.40652e7 + 1.10964e8i 0.411410 + 0.712584i
\(539\) 6.75713e6i 0.0431515i
\(540\) 109046. 1.15688e6i 0.000692515 0.00734694i
\(541\) −1.52147e8 −0.960884 −0.480442 0.877027i \(-0.659524\pi\)
−0.480442 + 0.877027i \(0.659524\pi\)
\(542\) −7.69055e7 + 4.44014e7i −0.483014 + 0.278868i
\(543\) −2.53777e8 + 8.34625e7i −1.58508 + 0.521305i
\(544\) 2.09147e7 3.62254e7i 0.129914 0.225017i
\(545\) 1.37922e6 + 796291.i 0.00852006 + 0.00491906i
\(546\) −3.64526e6 + 4.07773e6i −0.0223950 + 0.0250519i
\(547\) −8.56437e7 1.48339e8i −0.523279 0.906346i −0.999633 0.0270921i \(-0.991375\pi\)
0.476354 0.879254i \(-0.341958\pi\)
\(548\) 1.31127e8i 0.796802i
\(549\) 2.69084e7 + 1.17503e7i 0.162619 + 0.0710122i
\(550\) 5.08240e6 0.0305479
\(551\) −3.27917e8 + 1.89323e8i −1.96024 + 1.13174i
\(552\) 1.33518e7 6.39397e7i 0.0793820 0.380149i
\(553\) −2.17794e6 + 3.77231e6i −0.0128787 + 0.0223065i
\(554\) 9.32431e7 + 5.38339e7i 0.548387 + 0.316612i
\(555\) −2.94711e6 615409.i −0.0172392 0.00359986i
\(556\) −1.78067e7 3.08421e7i −0.103600 0.179440i
\(557\) 2.71640e8i 1.57191i 0.618283 + 0.785956i \(0.287829\pi\)
−0.618283 + 0.785956i \(0.712171\pi\)
\(558\) −4.23846e7 5.74677e7i −0.243952 0.330766i
\(559\) −2.14116e8 −1.22578
\(560\) 20758.6 11985.0i 0.000118204 6.82454e-5i
\(561\) −8.36003e6 7.47340e6i −0.0473499 0.0423282i
\(562\) −3.66351e7 + 6.34538e7i −0.206390 + 0.357477i
\(563\) 2.27013e8 + 1.31066e8i 1.27211 + 0.734454i 0.975385 0.220508i \(-0.0707715\pi\)
0.296727 + 0.954962i \(0.404105\pi\)
\(564\) −1.92924e7 5.86607e7i −0.107535 0.326972i
\(565\) −1.60986e6 2.78836e6i −0.00892573 0.0154598i
\(566\) 1.89470e8i 1.04494i
\(567\) 6.57494e6 1.49624e6i 0.0360697 0.00820830i
\(568\) 5.44987e7 0.297400
\(569\) 2.40050e8 1.38593e8i 1.30306 0.752324i 0.322135 0.946694i \(-0.395600\pi\)
0.980928 + 0.194370i \(0.0622662\pi\)
\(570\) −2.85027e6 + 937401.i −0.0153908 + 0.00506175i
\(571\) 3.53749e7 6.12712e7i 0.190015 0.329115i −0.755240 0.655448i \(-0.772480\pi\)
0.945255 + 0.326333i \(0.105813\pi\)
\(572\) −4.49842e6 2.59717e6i −0.0240366 0.0138775i
\(573\) −2.27645e7 + 2.54652e7i −0.121002 + 0.135358i
\(574\) −3.12605e6 5.41447e6i −0.0165295 0.0286299i
\(575\) 2.08774e8i 1.09818i
\(576\) −1.92247e7 + 1.41789e7i −0.100599 + 0.0741952i
\(577\) −1.69497e8 −0.882336 −0.441168 0.897425i \(-0.645436\pi\)
−0.441168 + 0.897425i \(0.645436\pi\)
\(578\) −1.37209e8 + 7.92176e7i −0.710557 + 0.410240i
\(579\) −7.22981e6 + 3.46225e7i −0.0372470 + 0.178370i
\(580\) 1.04963e6 1.81802e6i 0.00537965 0.00931783i
\(581\) −1.66953e6 963906.i −0.00851269 0.00491480i
\(582\) 7.41218e7 + 1.54780e7i 0.375991 + 0.0785137i
\(583\) 4.24912e6 + 7.35969e6i 0.0214434 + 0.0371410i
\(584\) 1.10899e8i 0.556786i
\(585\) −1.51903e6 + 3.47862e6i −0.00758752 + 0.0173756i
\(586\) 8.56140e7 0.425453
\(587\) 2.49955e8 1.44312e8i 1.23580 0.713489i 0.267566 0.963540i \(-0.413781\pi\)
0.968233 + 0.250051i \(0.0804474\pi\)
\(588\) −7.56790e7 6.76528e7i −0.372257 0.332777i
\(589\) −9.21916e7 + 1.59680e8i −0.451175 + 0.781458i
\(590\) 1.04595e6 + 603881.i 0.00509279 + 0.00294032i
\(591\) −8.29389e7 2.52185e8i −0.401787 1.22168i
\(592\) 3.09459e7 + 5.35999e7i 0.149155 + 0.258344i
\(593\) 1.14093e8i 0.547135i 0.961853 + 0.273567i \(0.0882037\pi\)
−0.961853 + 0.273567i \(0.911796\pi\)
\(594\) 2.66731e6 + 5.82182e6i 0.0127267 + 0.0277779i
\(595\) −169034. −0.000802461
\(596\) −1.40860e7 + 8.13256e6i −0.0665348 + 0.0384139i
\(597\) 3.49545e8 1.14959e8i 1.64278 0.540281i
\(598\) −1.06686e8 + 1.84785e8i −0.498887 + 0.864098i
\(599\) −8.39663e7 4.84780e7i −0.390683 0.225561i 0.291773 0.956488i \(-0.405755\pi\)
−0.682456 + 0.730927i \(0.739088\pi\)
\(600\) −5.08853e7 + 5.69223e7i −0.235580 + 0.263529i
\(601\) −2.05589e8 3.56090e8i −0.947056 1.64035i −0.751581 0.659640i \(-0.770709\pi\)
−0.195475 0.980709i \(-0.562625\pi\)
\(602\) 5.44519e6i 0.0249588i
\(603\) −1.47940e7 1.31680e8i −0.0674734 0.600576i
\(604\) −1.80321e8 −0.818341
\(605\) −2.82515e6 + 1.63110e6i −0.0127578 + 0.00736572i
\(606\) 2.45705e6 1.17664e7i 0.0110407 0.0528722i
\(607\) 5.43359e7 9.41126e7i 0.242952 0.420806i −0.718602 0.695422i \(-0.755217\pi\)
0.961554 + 0.274616i \(0.0885508\pi\)
\(608\) 5.34180e7 + 3.08409e7i 0.237671 + 0.137220i
\(609\) 1.19247e7 + 2.49009e6i 0.0527953 + 0.0110246i
\(610\) 210171. + 364026.i 0.000925939 + 0.00160377i
\(611\) 2.01719e8i 0.884347i
\(612\) 1.67402e8 1.88073e7i 0.730309 0.0820486i
\(613\) 2.58460e8 1.12205 0.561025 0.827799i \(-0.310407\pi\)
0.561025 + 0.827799i \(0.310407\pi\)
\(614\) −2.65438e7 + 1.53251e7i −0.114672 + 0.0662060i
\(615\) −3.23481e6 2.89174e6i −0.0139067 0.0124318i
\(616\) −66048.7 + 114400.i −0.000282567 + 0.000489421i
\(617\) 1.05483e8 + 6.09007e7i 0.449084 + 0.259278i 0.707443 0.706770i \(-0.249849\pi\)
−0.258360 + 0.966049i \(0.583182\pi\)
\(618\) −3.11894e7 9.48348e7i −0.132142 0.401793i
\(619\) −6.31246e7 1.09335e8i −0.266150 0.460985i 0.701714 0.712459i \(-0.252418\pi\)
−0.967864 + 0.251473i \(0.919085\pi\)
\(620\) 1.02225e6i 0.00428925i
\(621\) 2.39147e8 1.09567e8i 0.998597 0.457515i
\(622\) 1.54799e8 0.643275
\(623\) −1.12559e6 + 649857.i −0.00465494 + 0.00268753i
\(624\) 7.41264e7 2.43788e7i 0.305084 0.100336i
\(625\) −1.21991e8 + 2.11294e8i −0.499673 + 0.865460i
\(626\) −1.11594e8 6.44288e7i −0.454902 0.262638i
\(627\) 1.10203e7 1.23277e7i 0.0447085 0.0500127i
\(628\) 8.58004e7 + 1.48611e8i 0.346426 + 0.600027i
\(629\) 4.36456e8i 1.75383i
\(630\) 88464.9 + 38630.7i 0.000353793 + 0.000154494i
\(631\) 1.13561e6 0.00452003 0.00226002 0.999997i \(-0.499281\pi\)
0.00226002 + 0.999997i \(0.499281\pi\)
\(632\) 5.38186e7 3.10722e7i 0.213197 0.123089i
\(633\) 1.71797e7 8.22711e7i 0.0677337 0.324367i
\(634\) 7.48011e7 1.29559e8i 0.293522 0.508395i
\(635\) 5.12007e6 + 2.95607e6i 0.0199965 + 0.0115450i
\(636\) −1.24970e8 2.60960e7i −0.485774 0.101439i
\(637\) 1.65796e8 + 2.87167e8i 0.641440 + 1.11101i
\(638\) 1.15690e7i 0.0445485i
\(639\) 1.30273e8 + 1.76633e8i 0.499289 + 0.676968i
\(640\) −341973. −0.00130452
\(641\) −9.76272e6 + 5.63651e6i −0.0370678 + 0.0214011i −0.518419 0.855127i \(-0.673479\pi\)
0.481352 + 0.876528i \(0.340146\pi\)
\(642\) 1.74420e8 + 1.55922e8i 0.659162 + 0.589253i
\(643\) 1.61344e7 2.79457e7i 0.0606905 0.105119i −0.834084 0.551638i \(-0.814003\pi\)
0.894774 + 0.446519i \(0.147336\pi\)
\(644\) 4.69928e6 + 2.71313e6i 0.0175944 + 0.0101581i
\(645\) 1.18061e6 + 3.58977e6i 0.00439974 + 0.0133779i
\(646\) −2.17487e8 3.76699e8i −0.806745 1.39732i
\(647\) 4.30138e8i 1.58816i 0.607812 + 0.794081i \(0.292048\pi\)
−0.607812 + 0.794081i \(0.707952\pi\)
\(648\) −9.19089e7 2.84148e7i −0.337779 0.104429i
\(649\) −6.65592e6 −0.0243486
\(650\) 2.15994e8 1.24704e8i 0.786505 0.454089i
\(651\) 5.63510e6 1.85328e6i 0.0204248 0.00671736i
\(652\) −3.87234e7 + 6.70709e7i −0.139711 + 0.241986i
\(653\) −4.50239e8 2.59945e8i −1.61697 0.933561i −0.987697 0.156380i \(-0.950018\pi\)
−0.629277 0.777181i \(-0.716649\pi\)
\(654\) 8.78722e7 9.82973e7i 0.314136 0.351405i
\(655\) −2.81183e6 4.87024e6i −0.0100061 0.0173311i
\(656\) 8.91969e7i 0.315965i
\(657\) −3.59428e8 + 2.65091e8i −1.26740 + 0.934759i
\(658\) 5.12993e6 0.0180067
\(659\) −3.59541e8 + 2.07581e8i −1.25630 + 0.725322i −0.972352 0.233519i \(-0.924976\pi\)
−0.283943 + 0.958841i \(0.591643\pi\)
\(660\) −18739.2 + 89739.1i −6.51806e−5 + 0.000312140i
\(661\) −2.11607e8 + 3.66515e8i −0.732700 + 1.26907i 0.223025 + 0.974813i \(0.428407\pi\)
−0.955725 + 0.294261i \(0.904926\pi\)
\(662\) −2.21077e8 1.27639e8i −0.762024 0.439955i
\(663\) −5.38659e8 1.12482e8i −1.84830 0.385959i
\(664\) 1.37518e7 + 2.38188e7i 0.0469737 + 0.0813609i
\(665\) 249258.i 0.000847587i
\(666\) −9.97465e7 + 2.28421e8i −0.337657 + 0.773239i
\(667\) 4.75227e8 1.60149
\(668\) 2.29149e8 1.32299e8i 0.768757 0.443842i
\(669\) 4.04598e8 + 3.61687e8i 1.35128 + 1.20797i
\(670\) 948480. 1.64281e6i 0.00315358 0.00546216i
\(671\) −2.00613e6 1.15824e6i −0.00664036 0.00383382i
\(672\) −619979. 1.88511e6i −0.00204300 0.00621197i
\(673\) 862893. + 1.49457e6i 0.00283082 + 0.00490312i 0.867437 0.497546i \(-0.165766\pi\)
−0.864607 + 0.502450i \(0.832432\pi\)
\(674\) 1.77530e8i 0.579820i
\(675\) −3.06123e8 2.88549e7i −0.995370 0.0938227i
\(676\) −1.00443e8 −0.325147
\(677\) −1.62390e8 + 9.37561e7i −0.523352 + 0.302158i −0.738305 0.674467i \(-0.764374\pi\)
0.214953 + 0.976624i \(0.431040\pi\)
\(678\) −2.53215e8 + 8.32776e7i −0.812456 + 0.267202i
\(679\) −3.14518e6 + 5.44761e6i −0.0100470 + 0.0174019i
\(680\) 2.08848e6 + 1.20578e6i 0.00664207 + 0.00383480i
\(681\) −2.14203e8 + 2.39616e8i −0.678242 + 0.758708i
\(682\) 2.81678e6 + 4.87881e6i 0.00887974 + 0.0153802i
\(683\) 3.29781e8i 1.03506i −0.855666 0.517528i \(-0.826852\pi\)
0.855666 0.517528i \(-0.173148\pi\)
\(684\) 2.77332e7 + 2.46851e8i 0.0866626 + 0.771378i
\(685\) 7.55978e6 0.0235200
\(686\) 1.46159e7 8.43852e6i 0.0452746 0.0261393i
\(687\) 1.71283e7 8.20248e7i 0.0528254 0.252973i
\(688\) 3.88425e7 6.72773e7i 0.119273 0.206587i
\(689\) 3.61162e8 + 2.08517e8i 1.10419 + 0.637505i
\(690\) 3.68628e6 + 769762.i 0.0112212 + 0.00234320i
\(691\) 7.94682e7 + 1.37643e8i 0.240857 + 0.417177i 0.960959 0.276692i \(-0.0892381\pi\)
−0.720102 + 0.693869i \(0.755905\pi\)
\(692\) 8.39964e7i 0.253479i
\(693\) −528656. + 59393.3i −0.00158845 + 0.000178459i
\(694\) 6.22291e7 0.186172
\(695\) 1.77812e6 1.02660e6i 0.00529672 0.00305806i
\(696\) −1.29571e8 1.15829e8i −0.384309 0.343550i
\(697\) 3.14505e8 5.44738e8i 0.928814 1.60875i
\(698\) 1.70392e7 + 9.83758e6i 0.0501052 + 0.0289282i
\(699\) −7.89566e7 2.40076e8i −0.231184 0.702938i
\(700\) −3.17136e6 5.49296e6i −0.00924595 0.0160145i
\(701\) 1.13256e8i 0.328780i −0.986395 0.164390i \(-0.947434\pi\)
0.986395 0.164390i \(-0.0525656\pi\)
\(702\) 2.56203e8 + 1.81972e8i 0.740583 + 0.526008i
\(703\) 6.43598e8 1.85246
\(704\) 1.63211e6 942299.i 0.00467769 0.00270067i
\(705\) 3.38193e6 1.11225e6i 0.00965155 0.00317422i
\(706\) 7.62742e7 1.32111e8i 0.216752 0.375426i
\(707\) 864780. + 499281.i 0.00244707 + 0.00141282i
\(708\) 6.66394e7 7.45455e7i 0.187772 0.210049i
\(709\) −2.95239e7 5.11369e7i −0.0828390 0.143481i 0.821629 0.570022i \(-0.193065\pi\)
−0.904468 + 0.426541i \(0.859732\pi\)
\(710\) 3.14198e6i 0.00877866i
\(711\) 2.29353e8 + 1.00154e8i 0.638111 + 0.278649i
\(712\) 1.85427e7 0.0513727
\(713\) 2.00410e8 1.15707e8i 0.552906 0.319221i
\(714\) −2.86053e6 + 1.36987e7i −0.00785872 + 0.0376343i
\(715\) 149733. 259345.i 0.000409636 0.000709511i
\(716\) 2.10740e8 + 1.21671e8i 0.574127 + 0.331472i
\(717\) 1.84852e8 + 3.86005e7i 0.501495 + 0.104721i
\(718\) −2.49613e8 4.32343e8i −0.674364 1.16803i
\(719\) 1.17775e8i 0.316860i −0.987370 0.158430i \(-0.949357\pi\)
0.987370 0.158430i \(-0.0506433\pi\)
\(720\) −817449. 1.10835e6i −0.00219010 0.00296947i
\(721\) 8.29337e6 0.0221272
\(722\) 3.25004e8 1.87641e8i 0.863530 0.498559i
\(723\) 8.32444e7 + 7.44157e7i 0.220262 + 0.196902i
\(724\) −1.58310e8 + 2.74202e8i −0.417152 + 0.722528i
\(725\) −4.81069e8 2.77745e8i −1.26239 0.728841i
\(726\) 8.43764e7 + 2.56556e8i 0.220501 + 0.670458i
\(727\) −1.08321e8 1.87617e8i −0.281909 0.488281i 0.689946 0.723861i \(-0.257634\pi\)
−0.971855 + 0.235580i \(0.924301\pi\)
\(728\) 6.48240e6i 0.0168013i
\(729\) −1.27605e8 3.65803e8i −0.329370 0.944201i
\(730\) −6.39358e6 −0.0164352
\(731\) −4.74434e8 + 2.73914e8i −1.21457 + 0.701234i
\(732\) 3.30576e7 1.08721e7i 0.0842827 0.0277190i
\(733\) −2.54830e8 + 4.41379e8i −0.647052 + 1.12073i 0.336772 + 0.941586i \(0.390665\pi\)
−0.983824 + 0.179140i \(0.942668\pi\)
\(734\) −1.47245e8 8.50122e7i −0.372352 0.214978i
\(735\) 3.90034e6 4.36307e6i 0.00982292 0.0109883i
\(736\) −3.87075e7 6.70434e7i −0.0970872 0.168160i
\(737\) 1.04541e7i 0.0261145i
\(738\) −2.89091e8 + 2.13215e8i −0.719226 + 0.530456i
\(739\) 1.66066e8 0.411479 0.205740 0.978607i \(-0.434040\pi\)
0.205740 + 0.978607i \(0.434040\pi\)
\(740\) −3.09016e6 + 1.78410e6i −0.00762580 + 0.00440276i
\(741\) 1.65866e8 7.94307e8i 0.407664 1.95224i
\(742\) 5.30280e6 9.18473e6i 0.0129806 0.0224830i
\(743\) 6.45800e8 + 3.72853e8i 1.57446 + 0.909016i 0.995612 + 0.0935810i \(0.0298314\pi\)
0.578849 + 0.815434i \(0.303502\pi\)
\(744\) −8.28438e7 1.72993e7i −0.201160 0.0420058i
\(745\) −468861. 812091.i −0.00113390 0.00196397i
\(746\) 2.21662e8i 0.533918i
\(747\) −4.43255e7 + 1.01506e8i −0.106339 + 0.243518i
\(748\) −1.32900e7 −0.0317557
\(749\) −1.68314e7 + 9.71764e6i −0.0400568 + 0.0231268i
\(750\) −6.56412e6 5.86795e6i −0.0155594 0.0139092i
\(751\) 5.23107e7 9.06048e7i 0.123501 0.213910i −0.797645 0.603127i \(-0.793921\pi\)
0.921146 + 0.389217i \(0.127254\pi\)
\(752\) −6.33820e7 3.65936e7i −0.149043 0.0860502i
\(753\) 5.18882e7 + 1.57772e8i 0.121530 + 0.369525i
\(754\) 2.83862e8 + 4.91663e8i 0.662206 + 1.14697i
\(755\) 1.03959e7i 0.0241558i
\(756\) 4.62773e6 6.51553e6i 0.0107103 0.0150794i
\(757\) −5.24396e8 −1.20885 −0.604424 0.796663i \(-0.706597\pi\)
−0.604424 + 0.796663i \(0.706597\pi\)
\(758\) −1.93474e8 + 1.11702e8i −0.444237 + 0.256481i
\(759\) −1.97143e7 + 6.48367e6i −0.0450875 + 0.0148284i
\(760\) −1.77805e6 + 3.07967e6i −0.00405045 + 0.00701558i
\(761\) −2.36160e8 1.36347e8i